CINXE.COM

Statistics and probability - Popular Scientist

<!DOCTYPE html> <html lang="en-GB" prefix="og: https://ogp.me/ns#"> <head> <meta charset="UTF-8"> <script type="text/javascript"> /* <![CDATA[ */ var gform;gform||(document.addEventListener("gform_main_scripts_loaded",function(){gform.scriptsLoaded=!0}),window.addEventListener("DOMContentLoaded",function(){gform.domLoaded=!0}),gform={domLoaded:!1,scriptsLoaded:!1,initializeOnLoaded:function(o){gform.domLoaded&&gform.scriptsLoaded?o():!gform.domLoaded&&gform.scriptsLoaded?window.addEventListener("DOMContentLoaded",o):document.addEventListener("gform_main_scripts_loaded",o)},hooks:{action:{},filter:{}},addAction:function(o,n,r,t){gform.addHook("action",o,n,r,t)},addFilter:function(o,n,r,t){gform.addHook("filter",o,n,r,t)},doAction:function(o){gform.doHook("action",o,arguments)},applyFilters:function(o){return gform.doHook("filter",o,arguments)},removeAction:function(o,n){gform.removeHook("action",o,n)},removeFilter:function(o,n,r){gform.removeHook("filter",o,n,r)},addHook:function(o,n,r,t,i){null==gform.hooks[o][n]&&(gform.hooks[o][n]=[]);var e=gform.hooks[o][n];null==i&&(i=n+"_"+e.length),gform.hooks[o][n].push({tag:i,callable:r,priority:t=null==t?10:t})},doHook:function(n,o,r){var t;if(r=Array.prototype.slice.call(r,1),null!=gform.hooks[n][o]&&((o=gform.hooks[n][o]).sort(function(o,n){return o.priority-n.priority}),o.forEach(function(o){"function"!=typeof(t=o.callable)&&(t=window[t]),"action"==n?t.apply(null,r):r[0]=t.apply(null,r)})),"filter"==n)return r[0]},removeHook:function(o,n,t,i){var r;null!=gform.hooks[o][n]&&(r=(r=gform.hooks[o][n]).filter(function(o,n,r){return!!(null!=i&&i!=o.tag||null!=t&&t!=o.priority)}),gform.hooks[o][n]=r)}}); /* ]]> */ </script> <meta name="viewport" content="width=device-width, initial-scale=1"> <link rel="profile" href="http://gmpg.org/xfn/11"> <script type="text/javascript"> /* <![CDATA[ */ (()=>{var e={};e.g=function(){if("object"==typeof globalThis)return globalThis;try{return this||new Function("return this")()}catch(e){if("object"==typeof window)return window}}(),function({ampUrl:n,isCustomizePreview:t,isAmpDevMode:r,noampQueryVarName:o,noampQueryVarValue:s,disabledStorageKey:i,mobileUserAgents:a,regexRegex:c}){if("undefined"==typeof sessionStorage)return;const d=new RegExp(c);if(!a.some((e=>{const n=e.match(d);return!(!n||!new RegExp(n[1],n[2]).test(navigator.userAgent))||navigator.userAgent.includes(e)})))return;e.g.addEventListener("DOMContentLoaded",(()=>{const e=document.getElementById("amp-mobile-version-switcher");if(!e)return;e.hidden=!1;const n=e.querySelector("a[href]");n&&n.addEventListener("click",(()=>{sessionStorage.removeItem(i)}))}));const g=r&&["paired-browsing-non-amp","paired-browsing-amp"].includes(window.name);if(sessionStorage.getItem(i)||t||g)return;const u=new URL(location.href),m=new URL(n);m.hash=u.hash,u.searchParams.has(o)&&s===u.searchParams.get(o)?sessionStorage.setItem(i,"1"):m.href!==u.href&&(window.stop(),location.replace(m.href))}({"ampUrl":"https:\/\/popularscientist.com\/statistics-and-probability\/?amp=1","noampQueryVarName":"noamp","noampQueryVarValue":"mobile","disabledStorageKey":"amp_mobile_redirect_disabled","mobileUserAgents":["Mobile","Android","Silk\/","Kindle","BlackBerry","Opera Mini","Opera Mobi"],"regexRegex":"^\\\/((?:.|\\n)+)\\\/([i]*)$","isCustomizePreview":false,"isAmpDevMode":false})})(); /* ]]> */ </script> <!-- Search Engine Optimization by Rank Math - https://rankmath.com/ --> <title>Statistics and probability - Popular Scientist</title> <meta name="description" content="Statistics and probability are twin pillars of mathematical thinking, providing tools to make sense of uncertainty and variability in the world. Statistics"/> <meta name="robots" content="index, follow, max-snippet:-1, max-video-preview:-1, max-image-preview:large"/> <link rel="canonical" href="https://popularscientist.com/statistics-and-probability/" /> <meta property="og:locale" content="en_GB" /> <meta property="og:type" content="article" /> <meta property="og:title" content="Statistics and probability - Popular Scientist" /> <meta property="og:description" content="Statistics and probability are twin pillars of mathematical thinking, providing tools to make sense of uncertainty and variability in the world. Statistics" /> <meta property="og:url" content="https://popularscientist.com/statistics-and-probability/" /> <meta property="og:site_name" content="ScienceFather" /> <meta property="article:tag" content="Advanced Statistics and Probability Honor 2023" /> <meta property="article:tag" content="Emerging Statistics and Probability Technologies Awards" /> <meta property="article:tag" content="Future of Statistics and Probability Trophy 2023" /> <meta property="article:tag" content="International Awards on Statistics and Probability 2023" /> <meta property="article:tag" content="International Statistics and Probability Awards 2024" /> <meta property="article:tag" content="Statistics and Probability Advancements Awards" /> <meta property="article:tag" content="Statistics and Probability and Automation Awards" /> <meta property="article:tag" content="Statistics and Probability and Automation Trends Trophy 2023" /> <meta property="article:tag" content="Statistics and Probability Applications Awards 2024" /> <meta property="article:tag" content="Statistics and Probability Awards" /> <meta property="article:tag" content="Statistics and Probability Challenges Awards" /> <meta property="article:tag" content="Statistics and Probability Development Awards" /> <meta property="article:tag" content="Statistics and Probability Education Prize" /> <meta property="article:tag" content="Statistics and Probability Ethics Awards 2024" /> <meta property="article:tag" content="Statistics and Probability Evolution Awards 2024" /> <meta property="article:tag" content="Statistics and Probability for Healthcare Awards" /> <meta property="article:tag" content="Statistics and Probability for Space Exploration Awards 2024" /> <meta property="article:tag" content="Statistics and Probability for Sustainability Awards" /> <meta property="article:tag" content="Statistics and Probability Future Trophy 2023" /> <meta property="article:tag" content="Statistics and Probability Grants 2024" /> <meta property="article:tag" content="Statistics and Probability Honor" /> <meta property="article:tag" content="Statistics and Probability Impact Awards" /> <meta property="article:tag" content="Statistics and Probability in Manufacturing Trophy 2023" /> <meta property="article:tag" content="Statistics and Probability Industry Insights Awards 2024" /> <meta property="article:tag" content="Statistics and Probability Industry Trophy 2023" /> <meta property="article:tag" content="Statistics and Probability Innovations Awards 2024" /> <meta property="article:tag" content="Statistics and Probability Policy Awards" /> <meta property="article:tag" content="Statistics and Probability Recognition 2023" /> <meta property="article:tag" content="Statistics and Probability Research Awards" /> <meta property="article:tag" content="Statistics and Probability Revolution Awards 2024" /> <meta property="article:tag" content="Statistics and Probability Security Awards" /> <meta property="article:tag" content="Statistics and Probability Technology Awards" /> <meta property="article:tag" content="Statistics and Probability Transformation Trophy 2023" /> <meta property="article:tag" content="Statistics and Probability Trends Awards 2024" /> <meta property="article:tag" content="Statistics and Probability Trophy 2023" /> <meta property="article:tag" content="Statistics and Probability Trophy 2024" /> <meta property="article:tag" content="Statistics and Probability Vision Trophy 2023" /> <meta property="article:tag" content="Statistics and Probability World Trophy 2023" /> <meta property="article:section" content="Award Subject Track" /> <meta property="og:updated_time" content="2023-10-14T16:47:04+05:30" /> <meta name="twitter:card" content="summary_large_image" /> <meta name="twitter:title" content="Statistics and probability - Popular Scientist" /> <meta name="twitter:description" content="Statistics and probability are twin pillars of mathematical thinking, providing tools to make sense of uncertainty and variability in the world. Statistics" /> <meta name="twitter:label1" content="Written by" /> <meta name="twitter:data1" content="Popular Scientist" /> <meta name="twitter:label2" content="Time to read" /> <meta name="twitter:data2" content="1 minute" /> <!-- /Rank Math WordPress SEO plugin --> <link rel='dns-prefetch' href='//www.googletagmanager.com' /> <link rel="alternate" type="application/rss+xml" title="Popular Scientist &raquo; Feed" href="https://popularscientist.com/feed/" /> <link rel="alternate" type="application/rss+xml" title="Popular Scientist &raquo; Comments Feed" href="https://popularscientist.com/comments/feed/" /> <link rel="alternate" type="application/rss+xml" title="Popular Scientist &raquo; Statistics and probability Comments Feed" href="https://popularscientist.com/statistics-and-probability/feed/" /> <script type="text/javascript"> /* <![CDATA[ */ window._wpemojiSettings = {"baseUrl":"https:\/\/s.w.org\/images\/core\/emoji\/15.0.3\/72x72\/","ext":".png","svgUrl":"https:\/\/s.w.org\/images\/core\/emoji\/15.0.3\/svg\/","svgExt":".svg","source":{"concatemoji":"https:\/\/popularscientist.com\/wp-includes\/js\/wp-emoji-release.min.js?ver=6.6.2"}}; /*! This file is auto-generated */ !function(i,n){var o,s,e;function c(e){try{var t={supportTests:e,timestamp:(new Date).valueOf()};sessionStorage.setItem(o,JSON.stringify(t))}catch(e){}}function p(e,t,n){e.clearRect(0,0,e.canvas.width,e.canvas.height),e.fillText(t,0,0);var t=new Uint32Array(e.getImageData(0,0,e.canvas.width,e.canvas.height).data),r=(e.clearRect(0,0,e.canvas.width,e.canvas.height),e.fillText(n,0,0),new Uint32Array(e.getImageData(0,0,e.canvas.width,e.canvas.height).data));return t.every(function(e,t){return e===r[t]})}function u(e,t,n){switch(t){case"flag":return n(e,"\ud83c\udff3\ufe0f\u200d\u26a7\ufe0f","\ud83c\udff3\ufe0f\u200b\u26a7\ufe0f")?!1:!n(e,"\ud83c\uddfa\ud83c\uddf3","\ud83c\uddfa\u200b\ud83c\uddf3")&&!n(e,"\ud83c\udff4\udb40\udc67\udb40\udc62\udb40\udc65\udb40\udc6e\udb40\udc67\udb40\udc7f","\ud83c\udff4\u200b\udb40\udc67\u200b\udb40\udc62\u200b\udb40\udc65\u200b\udb40\udc6e\u200b\udb40\udc67\u200b\udb40\udc7f");case"emoji":return!n(e,"\ud83d\udc26\u200d\u2b1b","\ud83d\udc26\u200b\u2b1b")}return!1}function f(e,t,n){var r="undefined"!=typeof WorkerGlobalScope&&self instanceof WorkerGlobalScope?new OffscreenCanvas(300,150):i.createElement("canvas"),a=r.getContext("2d",{willReadFrequently:!0}),o=(a.textBaseline="top",a.font="600 32px Arial",{});return e.forEach(function(e){o[e]=t(a,e,n)}),o}function t(e){var t=i.createElement("script");t.src=e,t.defer=!0,i.head.appendChild(t)}"undefined"!=typeof Promise&&(o="wpEmojiSettingsSupports",s=["flag","emoji"],n.supports={everything:!0,everythingExceptFlag:!0},e=new Promise(function(e){i.addEventListener("DOMContentLoaded",e,{once:!0})}),new Promise(function(t){var n=function(){try{var e=JSON.parse(sessionStorage.getItem(o));if("object"==typeof e&&"number"==typeof e.timestamp&&(new Date).valueOf()<e.timestamp+604800&&"object"==typeof e.supportTests)return e.supportTests}catch(e){}return null}();if(!n){if("undefined"!=typeof Worker&&"undefined"!=typeof OffscreenCanvas&&"undefined"!=typeof URL&&URL.createObjectURL&&"undefined"!=typeof Blob)try{var e="postMessage("+f.toString()+"("+[JSON.stringify(s),u.toString(),p.toString()].join(",")+"));",r=new Blob([e],{type:"text/javascript"}),a=new Worker(URL.createObjectURL(r),{name:"wpTestEmojiSupports"});return void(a.onmessage=function(e){c(n=e.data),a.terminate(),t(n)})}catch(e){}c(n=f(s,u,p))}t(n)}).then(function(e){for(var t in e)n.supports[t]=e[t],n.supports.everything=n.supports.everything&&n.supports[t],"flag"!==t&&(n.supports.everythingExceptFlag=n.supports.everythingExceptFlag&&n.supports[t]);n.supports.everythingExceptFlag=n.supports.everythingExceptFlag&&!n.supports.flag,n.DOMReady=!1,n.readyCallback=function(){n.DOMReady=!0}}).then(function(){return e}).then(function(){var e;n.supports.everything||(n.readyCallback(),(e=n.source||{}).concatemoji?t(e.concatemoji):e.wpemoji&&e.twemoji&&(t(e.twemoji),t(e.wpemoji)))}))}((window,document),window._wpemojiSettings); /* ]]> */ </script> <style id='wp-emoji-styles-inline-css' type='text/css'> img.wp-smiley, img.emoji { display: inline !important; border: none !important; box-shadow: none !important; height: 1em !important; width: 1em !important; margin: 0 0.07em !important; vertical-align: -0.1em !important; background: none !important; padding: 0 !important; } </style> <link rel='stylesheet' id='wp-block-library-css' href='https://popularscientist.com/wp-includes/css/dist/block-library/style.min.css?ver=6.6.2' type='text/css' media='all' /> <style id='wp-block-library-theme-inline-css' type='text/css'> .wp-block-audio :where(figcaption){color:#555;font-size:13px;text-align:center}.is-dark-theme .wp-block-audio :where(figcaption){color:#ffffffa6}.wp-block-audio{margin:0 0 1em}.wp-block-code{border:1px solid #ccc;border-radius:4px;font-family:Menlo,Consolas,monaco,monospace;padding:.8em 1em}.wp-block-embed :where(figcaption){color:#555;font-size:13px;text-align:center}.is-dark-theme .wp-block-embed :where(figcaption){color:#ffffffa6}.wp-block-embed{margin:0 0 1em}.blocks-gallery-caption{color:#555;font-size:13px;text-align:center}.is-dark-theme .blocks-gallery-caption{color:#ffffffa6}:root :where(.wp-block-image figcaption){color:#555;font-size:13px;text-align:center}.is-dark-theme :root :where(.wp-block-image figcaption){color:#ffffffa6}.wp-block-image{margin:0 0 1em}.wp-block-pullquote{border-bottom:4px solid;border-top:4px solid;color:currentColor;margin-bottom:1.75em}.wp-block-pullquote cite,.wp-block-pullquote footer,.wp-block-pullquote__citation{color:currentColor;font-size:.8125em;font-style:normal;text-transform:uppercase}.wp-block-quote{border-left:.25em solid;margin:0 0 1.75em;padding-left:1em}.wp-block-quote cite,.wp-block-quote footer{color:currentColor;font-size:.8125em;font-style:normal;position:relative}.wp-block-quote.has-text-align-right{border-left:none;border-right:.25em solid;padding-left:0;padding-right:1em}.wp-block-quote.has-text-align-center{border:none;padding-left:0}.wp-block-quote.is-large,.wp-block-quote.is-style-large,.wp-block-quote.is-style-plain{border:none}.wp-block-search .wp-block-search__label{font-weight:700}.wp-block-search__button{border:1px solid #ccc;padding:.375em .625em}:where(.wp-block-group.has-background){padding:1.25em 2.375em}.wp-block-separator.has-css-opacity{opacity:.4}.wp-block-separator{border:none;border-bottom:2px solid;margin-left:auto;margin-right:auto}.wp-block-separator.has-alpha-channel-opacity{opacity:1}.wp-block-separator:not(.is-style-wide):not(.is-style-dots){width:100px}.wp-block-separator.has-background:not(.is-style-dots){border-bottom:none;height:1px}.wp-block-separator.has-background:not(.is-style-wide):not(.is-style-dots){height:2px}.wp-block-table{margin:0 0 1em}.wp-block-table td,.wp-block-table th{word-break:normal}.wp-block-table :where(figcaption){color:#555;font-size:13px;text-align:center}.is-dark-theme .wp-block-table :where(figcaption){color:#ffffffa6}.wp-block-video :where(figcaption){color:#555;font-size:13px;text-align:center}.is-dark-theme .wp-block-video :where(figcaption){color:#ffffffa6}.wp-block-video{margin:0 0 1em}:root :where(.wp-block-template-part.has-background){margin-bottom:0;margin-top:0;padding:1.25em 2.375em} </style> <style id='rank-math-toc-block-style-inline-css' type='text/css'> .wp-block-rank-math-toc-block nav ol{counter-reset:item}.wp-block-rank-math-toc-block nav ol li{display:block}.wp-block-rank-math-toc-block nav ol li:before{content:counters(item, ".") ". ";counter-increment:item} </style> <link rel='stylesheet' id='ff-google-fonts-css' href='//popularscientist.com/wp-content/uploads/sgf-css/font-57c18f3e904340cba21ea1b3e3aaac69.css' type='text/css' media='all' /> <link rel='stylesheet' id='ff-shortcodes-css' href='https://popularscientist.com/wp-content/plugins/fruitful-shortcodes/fruitful-shortcodes-2.0.0/assets/css/front.css?ver=071120180241' type='text/css' media='all' /> <link rel='stylesheet' id='ff-fruitful_alert-css' href='https://popularscientist.com/wp-content/plugins/fruitful-shortcodes/fruitful-shortcodes-2.0.0//assets/shared/fruitful_alert/css/styles.css?ver=071120180241' type='text/css' media='all' /> <link rel='stylesheet' id='ff-fruitful_btn-css' href='https://popularscientist.com/wp-content/plugins/fruitful-shortcodes/fruitful-shortcodes-2.0.0//assets/shared/fruitful_btn/css/styles.css?ver=071120180241' type='text/css' media='all' /> <link rel='stylesheet' id='ff-fruitful_dbox-css' href='https://popularscientist.com/wp-content/plugins/fruitful-shortcodes/fruitful-shortcodes-2.0.0//assets/shared/fruitful_dbox/css/styles.css?ver=071120180241' type='text/css' media='all' /> <link rel='stylesheet' id='ff-fruitful_pbar-css' href='https://popularscientist.com/wp-content/plugins/fruitful-shortcodes/fruitful-shortcodes-2.0.0//assets/shared/fruitful_pbar/css/styles.css?ver=071120180241' type='text/css' media='all' /> <link rel='stylesheet' id='ff-shortcodes-grid-css' href='https://popularscientist.com/wp-content/plugins/fruitful-shortcodes/fruitful-shortcodes-2.0.0/assets/libs/bootstrap/bootstrap-grid.min.css?ver=071120180241' type='text/css' media='all' /> <link rel='stylesheet' id='ff-fruitful_recent_posts-css' href='https://popularscientist.com/wp-content/plugins/fruitful-shortcodes/fruitful-shortcodes-2.0.0//assets/shared/fruitful_recent_posts/css/styles.css?ver=071120180241' type='text/css' media='all' /> <link rel='stylesheet' id='slick-css' href='https://popularscientist.com/wp-content/plugins/fruitful-shortcodes/fruitful-shortcodes-2.0.0/assets/libs/slick/slick.css?ver=071120180241' type='text/css' media='all' /> <link rel='stylesheet' id='ff-fruitful_recent_posts_slider-css' href='https://popularscientist.com/wp-content/plugins/fruitful-shortcodes/fruitful-shortcodes-2.0.0//assets/shared/fruitful_recent_posts_slider/css/styles.css?ver=071120180241' type='text/css' media='all' /> <link rel='stylesheet' id='ff-fruitful_tabs-css' href='https://popularscientist.com/wp-content/plugins/fruitful-shortcodes/fruitful-shortcodes-2.0.0//assets/shared/fruitful_tabs/css/styles.css?ver=071120180241' type='text/css' media='all' /> <style id='classic-theme-styles-inline-css' type='text/css'> /*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} </style> <style id='global-styles-inline-css' type='text/css'> :root{--wp--preset--aspect-ratio--square: 1;--wp--preset--aspect-ratio--4-3: 4/3;--wp--preset--aspect-ratio--3-4: 3/4;--wp--preset--aspect-ratio--3-2: 3/2;--wp--preset--aspect-ratio--2-3: 2/3;--wp--preset--aspect-ratio--16-9: 16/9;--wp--preset--aspect-ratio--9-16: 9/16;--wp--preset--color--black: #000000;--wp--preset--color--cyan-bluish-gray: #abb8c3;--wp--preset--color--white: #ffffff;--wp--preset--color--pale-pink: #f78da7;--wp--preset--color--vivid-red: #cf2e2e;--wp--preset--color--luminous-vivid-orange: #ff6900;--wp--preset--color--luminous-vivid-amber: #fcb900;--wp--preset--color--light-green-cyan: #7bdcb5;--wp--preset--color--vivid-green-cyan: #00d084;--wp--preset--color--pale-cyan-blue: #8ed1fc;--wp--preset--color--vivid-cyan-blue: #0693e3;--wp--preset--color--vivid-purple: #9b51e0;--wp--preset--gradient--vivid-cyan-blue-to-vivid-purple: linear-gradient(135deg,rgba(6,147,227,1) 0%,rgb(155,81,224) 100%);--wp--preset--gradient--light-green-cyan-to-vivid-green-cyan: linear-gradient(135deg,rgb(122,220,180) 0%,rgb(0,208,130) 100%);--wp--preset--gradient--luminous-vivid-amber-to-luminous-vivid-orange: linear-gradient(135deg,rgba(252,185,0,1) 0%,rgba(255,105,0,1) 100%);--wp--preset--gradient--luminous-vivid-orange-to-vivid-red: linear-gradient(135deg,rgba(255,105,0,1) 0%,rgb(207,46,46) 100%);--wp--preset--gradient--very-light-gray-to-cyan-bluish-gray: linear-gradient(135deg,rgb(238,238,238) 0%,rgb(169,184,195) 100%);--wp--preset--gradient--cool-to-warm-spectrum: linear-gradient(135deg,rgb(74,234,220) 0%,rgb(151,120,209) 20%,rgb(207,42,186) 40%,rgb(238,44,130) 60%,rgb(251,105,98) 80%,rgb(254,248,76) 100%);--wp--preset--gradient--blush-light-purple: linear-gradient(135deg,rgb(255,206,236) 0%,rgb(152,150,240) 100%);--wp--preset--gradient--blush-bordeaux: linear-gradient(135deg,rgb(254,205,165) 0%,rgb(254,45,45) 50%,rgb(107,0,62) 100%);--wp--preset--gradient--luminous-dusk: linear-gradient(135deg,rgb(255,203,112) 0%,rgb(199,81,192) 50%,rgb(65,88,208) 100%);--wp--preset--gradient--pale-ocean: linear-gradient(135deg,rgb(255,245,203) 0%,rgb(182,227,212) 50%,rgb(51,167,181) 100%);--wp--preset--gradient--electric-grass: linear-gradient(135deg,rgb(202,248,128) 0%,rgb(113,206,126) 100%);--wp--preset--gradient--midnight: linear-gradient(135deg,rgb(2,3,129) 0%,rgb(40,116,252) 100%);--wp--preset--font-size--small: 13px;--wp--preset--font-size--medium: 20px;--wp--preset--font-size--large: 36px;--wp--preset--font-size--x-large: 42px;--wp--preset--spacing--20: 0.44rem;--wp--preset--spacing--30: 0.67rem;--wp--preset--spacing--40: 1rem;--wp--preset--spacing--50: 1.5rem;--wp--preset--spacing--60: 2.25rem;--wp--preset--spacing--70: 3.38rem;--wp--preset--spacing--80: 5.06rem;--wp--preset--shadow--natural: 6px 6px 9px rgba(0, 0, 0, 0.2);--wp--preset--shadow--deep: 12px 12px 50px rgba(0, 0, 0, 0.4);--wp--preset--shadow--sharp: 6px 6px 0px rgba(0, 0, 0, 0.2);--wp--preset--shadow--outlined: 6px 6px 0px -3px rgba(255, 255, 255, 1), 6px 6px rgba(0, 0, 0, 1);--wp--preset--shadow--crisp: 6px 6px 0px rgba(0, 0, 0, 1);}:where(.is-layout-flex){gap: 0.5em;}:where(.is-layout-grid){gap: 0.5em;}body .is-layout-flex{display: flex;}.is-layout-flex{flex-wrap: wrap;align-items: center;}.is-layout-flex > :is(*, div){margin: 0;}body .is-layout-grid{display: grid;}.is-layout-grid > :is(*, div){margin: 0;}:where(.wp-block-columns.is-layout-flex){gap: 2em;}:where(.wp-block-columns.is-layout-grid){gap: 2em;}:where(.wp-block-post-template.is-layout-flex){gap: 1.25em;}:where(.wp-block-post-template.is-layout-grid){gap: 1.25em;}.has-black-color{color: var(--wp--preset--color--black) !important;}.has-cyan-bluish-gray-color{color: var(--wp--preset--color--cyan-bluish-gray) !important;}.has-white-color{color: var(--wp--preset--color--white) !important;}.has-pale-pink-color{color: var(--wp--preset--color--pale-pink) !important;}.has-vivid-red-color{color: var(--wp--preset--color--vivid-red) !important;}.has-luminous-vivid-orange-color{color: var(--wp--preset--color--luminous-vivid-orange) !important;}.has-luminous-vivid-amber-color{color: var(--wp--preset--color--luminous-vivid-amber) !important;}.has-light-green-cyan-color{color: var(--wp--preset--color--light-green-cyan) !important;}.has-vivid-green-cyan-color{color: var(--wp--preset--color--vivid-green-cyan) !important;}.has-pale-cyan-blue-color{color: var(--wp--preset--color--pale-cyan-blue) !important;}.has-vivid-cyan-blue-color{color: var(--wp--preset--color--vivid-cyan-blue) !important;}.has-vivid-purple-color{color: var(--wp--preset--color--vivid-purple) !important;}.has-black-background-color{background-color: var(--wp--preset--color--black) !important;}.has-cyan-bluish-gray-background-color{background-color: var(--wp--preset--color--cyan-bluish-gray) !important;}.has-white-background-color{background-color: var(--wp--preset--color--white) !important;}.has-pale-pink-background-color{background-color: var(--wp--preset--color--pale-pink) !important;}.has-vivid-red-background-color{background-color: var(--wp--preset--color--vivid-red) !important;}.has-luminous-vivid-orange-background-color{background-color: var(--wp--preset--color--luminous-vivid-orange) !important;}.has-luminous-vivid-amber-background-color{background-color: var(--wp--preset--color--luminous-vivid-amber) !important;}.has-light-green-cyan-background-color{background-color: var(--wp--preset--color--light-green-cyan) !important;}.has-vivid-green-cyan-background-color{background-color: var(--wp--preset--color--vivid-green-cyan) !important;}.has-pale-cyan-blue-background-color{background-color: var(--wp--preset--color--pale-cyan-blue) !important;}.has-vivid-cyan-blue-background-color{background-color: var(--wp--preset--color--vivid-cyan-blue) !important;}.has-vivid-purple-background-color{background-color: var(--wp--preset--color--vivid-purple) !important;}.has-black-border-color{border-color: var(--wp--preset--color--black) !important;}.has-cyan-bluish-gray-border-color{border-color: var(--wp--preset--color--cyan-bluish-gray) !important;}.has-white-border-color{border-color: var(--wp--preset--color--white) !important;}.has-pale-pink-border-color{border-color: var(--wp--preset--color--pale-pink) !important;}.has-vivid-red-border-color{border-color: var(--wp--preset--color--vivid-red) !important;}.has-luminous-vivid-orange-border-color{border-color: var(--wp--preset--color--luminous-vivid-orange) !important;}.has-luminous-vivid-amber-border-color{border-color: var(--wp--preset--color--luminous-vivid-amber) !important;}.has-light-green-cyan-border-color{border-color: var(--wp--preset--color--light-green-cyan) !important;}.has-vivid-green-cyan-border-color{border-color: var(--wp--preset--color--vivid-green-cyan) !important;}.has-pale-cyan-blue-border-color{border-color: var(--wp--preset--color--pale-cyan-blue) !important;}.has-vivid-cyan-blue-border-color{border-color: var(--wp--preset--color--vivid-cyan-blue) !important;}.has-vivid-purple-border-color{border-color: var(--wp--preset--color--vivid-purple) !important;}.has-vivid-cyan-blue-to-vivid-purple-gradient-background{background: var(--wp--preset--gradient--vivid-cyan-blue-to-vivid-purple) !important;}.has-light-green-cyan-to-vivid-green-cyan-gradient-background{background: var(--wp--preset--gradient--light-green-cyan-to-vivid-green-cyan) !important;}.has-luminous-vivid-amber-to-luminous-vivid-orange-gradient-background{background: var(--wp--preset--gradient--luminous-vivid-amber-to-luminous-vivid-orange) !important;}.has-luminous-vivid-orange-to-vivid-red-gradient-background{background: var(--wp--preset--gradient--luminous-vivid-orange-to-vivid-red) !important;}.has-very-light-gray-to-cyan-bluish-gray-gradient-background{background: var(--wp--preset--gradient--very-light-gray-to-cyan-bluish-gray) !important;}.has-cool-to-warm-spectrum-gradient-background{background: var(--wp--preset--gradient--cool-to-warm-spectrum) !important;}.has-blush-light-purple-gradient-background{background: var(--wp--preset--gradient--blush-light-purple) !important;}.has-blush-bordeaux-gradient-background{background: var(--wp--preset--gradient--blush-bordeaux) !important;}.has-luminous-dusk-gradient-background{background: var(--wp--preset--gradient--luminous-dusk) !important;}.has-pale-ocean-gradient-background{background: var(--wp--preset--gradient--pale-ocean) !important;}.has-electric-grass-gradient-background{background: var(--wp--preset--gradient--electric-grass) !important;}.has-midnight-gradient-background{background: var(--wp--preset--gradient--midnight) !important;}.has-small-font-size{font-size: var(--wp--preset--font-size--small) !important;}.has-medium-font-size{font-size: var(--wp--preset--font-size--medium) !important;}.has-large-font-size{font-size: var(--wp--preset--font-size--large) !important;}.has-x-large-font-size{font-size: var(--wp--preset--font-size--x-large) !important;} :where(.wp-block-post-template.is-layout-flex){gap: 1.25em;}:where(.wp-block-post-template.is-layout-grid){gap: 1.25em;} :where(.wp-block-columns.is-layout-flex){gap: 2em;}:where(.wp-block-columns.is-layout-grid){gap: 2em;} :root :where(.wp-block-pullquote){font-size: 1.5em;line-height: 1.6;} </style> <link rel='stylesheet' id='bbp-default-css' href='https://popularscientist.com/wp-content/plugins/bbpress/templates/default/css/bbpress.min.css?ver=2.6.11' type='text/css' media='all' /> <link rel='stylesheet' id='logo-showcase-style-css' href='https://popularscientist.com/wp-content/plugins/logo-showcase/frontend/css/logo-showcase-wordpress.css?ver=6.6.2' type='text/css' media='all' /> <link rel='stylesheet' id='logo-showcase-owl-css' href='https://popularscientist.com/wp-content/plugins/logo-showcase/frontend/css/owl.carousel.css?ver=6.6.2' type='text/css' media='all' /> <link rel='stylesheet' id='logo-showcase-tipso-css' href='https://popularscientist.com/wp-content/plugins/logo-showcase/frontend/css/tipso.css?ver=6.6.2' type='text/css' media='all' /> <link rel='stylesheet' id='logo-showcase-awesome-css-css' href='https://popularscientist.com/wp-content/plugins/logo-showcase/admin/css/font-awesome.css?ver=6.6.2' type='text/css' media='all' /> <link rel='stylesheet' id='siteorigin-panels-front-css' href='https://popularscientist.com/wp-content/plugins/siteorigin-panels/css/front-flex.min.css?ver=2.31.0' type='text/css' media='all' /> <link rel='stylesheet' id='sow-slider-slider-css' href='https://popularscientist.com/wp-content/plugins/so-widgets-bundle/css/slider/slider.css?ver=1.64.0' type='text/css' media='all' /> <link rel='stylesheet' id='sow-slider-default-6d39609536fd-css' href='https://popularscientist.com/wp-content/uploads/siteorigin-widgets/sow-slider-default-6d39609536fd.css?ver=6.6.2' type='text/css' media='all' /> <link rel='stylesheet' id='sow-headline-default-5583c7bbb65c-css' href='https://popularscientist.com/wp-content/uploads/siteorigin-widgets/sow-headline-default-5583c7bbb65c.css?ver=6.6.2' type='text/css' media='all' /> <link rel='stylesheet' id='sow-social-media-buttons-atom-31c5054d4fe5-css' href='https://popularscientist.com/wp-content/uploads/siteorigin-widgets/sow-social-media-buttons-atom-31c5054d4fe5.css?ver=6.6.2' type='text/css' media='all' /> <link rel='stylesheet' id='tc-team-members-css' href='https://popularscientist.com/wp-content/plugins/tc-team-members/lib/functions/../../assets/css/tc-plugin.css?ver=6.6.2' type='text/css' media='all' /> <link rel='stylesheet' id='tc-font-awesome-css' href='https://popularscientist.com/wp-content/plugins/tc-team-members/lib/functions/../../vendors/font-awesome/css/font-awesome.css?ver=6.6.2' type='text/css' media='all' /> <link rel='stylesheet' id='suffice-fonts-css' href='//popularscientist.com/wp-content/uploads/sgf-css/font-33d24eb5e008d700a2843723b4f45f19.css' type='text/css' media='all' /> <link rel='stylesheet' id='font-awesome-css' href='https://popularscientist.com/wp-content/plugins/fruitful-shortcodes/fruitful-shortcodes-2.0.0/assets/libs/fontawesome/css/font-awesome.min.css?ver=071120180241' type='text/css' media='all' /> <link rel='stylesheet' id='swiper-css' href='https://popularscientist.com/wp-content/themes/suffice/assets/css/swiper.min.css?ver=3.4.0' type='text/css' media='all' /> <link rel='stylesheet' id='perfect-scrollbar-css' href='https://popularscientist.com/wp-content/themes/suffice/assets/css/perfect-scrollbar.min.css?ver=0.6.16' type='text/css' media='all' /> <link rel='stylesheet' id='suffice-style-css' href='https://popularscientist.com/wp-content/themes/suffice/style.css?ver=6.6.2' type='text/css' media='all' /> <style id='suffice-style-inline-css' type='text/css'> a, .site-branding .site-title a:hover, .header-top .social-menu li a:hover, .navigation-default .menu-primary ul li:hover > a, .navigation-default .primary-menu ul li:hover > a, .breadcrumbs .breadcrumbs-trail li a:hover, .woocommerce-breadcrumb a:hover, .widget ul li a:hover, .widget.widget_recent_comments .recentcomments .comment-author-link a:hover, .navigation-default .menu-primary > ul > li.current-menu-item > a, .navigation-default .menu-primary ul li:hover > a, .hentry .entry-title a:hover, .social-menu li a:hover, .related-post-container .related-post-item .related-title a:hover, #comments .comment-list .comment-meta .comment-author .fn a:hover, #comments .comment-list .comment-meta .comment-metadata .edit-link a, #comments .comment-list .reply .comment-reply-link:hover, .hentry .entry-meta .posted-on a:hover, .hentry .entry-meta .byline a:hover, .search-form-container.search-form-style-halfscreen .search-form .search-field, .search-form-container.search-form-style-fullscreen .search-form .search-field, .entry-meta span a:hover, .post-style-list .entry-meta span, .post-style-list .entry-meta span a, .hentry .entry-meta > span a:hover, .hentry .entry-content .read-more:hover, .mini-cart-sidebar ul.cart_list li .quantity .amount, .widget.widget_calendar tfoot a { color: #ff6600; } .post-style-list .entry-meta > span a:hover, .mini-cart-sidebar ul.cart_list li > a:hover { color: #ff8400; } .widget.widget_search input[type='submit']:hover, .widget.widget_search .search-submit:hover, .widget.widget_product_search input[type='submit']:hover, .widget.widget_product_search .search-submit:hover, .search-form .search-submit, .navigation-default .menu-primary > ul > li > a::before, .navigation-default .primary-menu > ul > li > a::before, .navigation.posts-navigation .nav-links .nav-previous a:hover, .navigation.posts-navigation .nav-links .nav-next a:hover, .navigation.post-navigation .nav-links .nav-previous a:hover, .navigation.post-navigation .nav-links .nav-next a:hover, #comments .comment-form .form-submit .submit, .woocommerce ul.products li.product .add_to_cart_button:hover, .woocommerce-page ul.products li.product .add_to_cart_button:hover, .woocommerce div.product form.cart .button, .woocommerce-page div.product form.cart .button, .woocommerce .related h2::after, .woocommerce .upsells h2::after, .woocommerce .cross-sells h2::after, .woocommerce-page .related h2::after, .woocommerce-page .upsells h2::after, .woocommerce-page .cross-sells h2::after, .search-form-container.search-form-style-fullscreen .search-form .search-submit, .search-form-container.search-form-style-halfscreen .search-form .search-submit, #bbpress-forums #bbp-search-form #bbp_search_submit, .slider.slider-controls-flat .swiper-button-prev, .slider.slider-controls-flat .swiper-button-next, .slider.slider-controls-rounded .swiper-button-prev, .slider.slider-controls-rounded .swiper-button-next, .slider .swiper-pagination-bullet-active, .portfolio-navigation .navigation-portfolio li.active a, .portfolio-navigation .navigation-portfolio li:hover a, .header-action-container .navigation-header-action > li.header-action-item-cart .header-action-badge, .header-action-container .navigation-header-action > li.header-action-item-wishlist .header-action-badge, .woocommerce #respond input#submit, .woocommerce a.button, .woocommerce button.button, .woocommerce input.button, .woocommerce-page #respond input#submit, .woocommerce-page a.button, .woocommerce-page button.button, .woocommerce-page input.button, .woocommerce ul.products li.product span.onsale, .woocommerce-page ul.products li.product span.onsale, .woocommerce span.onsale, .woocommerce-page span.onsale, .mini-cart-sidebar .buttons .checkout, .widget.widget_calendar tbody a, .woocommerce #respond input#submit.alt, .woocommerce a.button.alt, .woocommerce button.button.alt, .woocommerce input.button.alt, .woocommerce-page #respond input#submit.alt, .woocommerce-page a.button.alt, .woocommerce-page button.button.alt, .woocommerce-page input.button.alt, .header-action-container .navigation-header-action > li.header-action-item-cart .header-action-badge, .header-action-container .navigation-header-action > li.header-action-item-wishlist .header-action-badge, input[type='submit'], .wp-custom-header .wp-custom-header-video-button, .icon-box-bordered:hover, .icon-box-small .icon-box-icon, .icon-box-small .icon-box-description .icon-box-readmore { background-color: #ff6600; } .search-form .search-submit:hover, .woocommerce div.product form.cart .button:hover, .woocommerce-page div.product form.cart .button:hover, #bbpress-forums #bbp-search-form #bbp_search_submit:hover, #comments .comment-form .form-submit .submit:hover, .woocommerce #respond input#submit:hover, .woocommerce a.button:hover, .woocommerce button.button:hover, .woocommerce input.button:hover, .woocommerce-page #respond input#submit:hover, .woocommerce-page a.button:hover, .woocommerce-page button.button:hover, .woocommerce-page input.button:hover, .woocommerce ul.products li.product .added_to_cart:hover, .woocommerce-page ul.products li.product .added_to_cart:hover, .mini-cart-sidebar .buttons .checkout:hover, .woocommerce #respond input#submit.alt:hover, .woocommerce a.button.alt:hover, .woocommerce button.button.alt:hover, .woocommerce input.button.alt:hover, .woocommerce-page #respond input#submit.alt:hover, .woocommerce-page a.button.alt:hover, .woocommerce-page button.button.alt:hover, .woocommerce-page input.button.alt:hover, .related-post-container .recent-button-prev:hover, .related-post-container .recent-button-next:hover, .icon-box-small .icon-box-description .icon-box-readmore:hover { background-color: #ff7000; } .widget.widget_search .search-field:focus, .widget.widget_product_search .search-field:focus, .search-form .search-field:focus, .navigation.posts-navigation .nav-links .nav-previous a:hover, .navigation.posts-navigation .nav-links .nav-next a:hover, .navigation.post-navigation .nav-links .nav-previous a:hover, .navigation.post-navigation .nav-links .nav-next a:hover, #comments .comment-form textarea:focus, #comments .comment-form input[type='text']:focus, #comments .comment-form input[type='email']:focus, #comments .comment-form input[type='url']:focus, .header-action-search-form, .search-form-container.search-form-style-halfscreen .search-form .search-field, .search-form-container.search-form-style-fullscreen .search-form .search-field, #bbpress-forums #bbp-search-form #bbp_search:focus, .hentry .entry-content .read-more:hover, .icon-box-bordered:hover { border-color: #ff6600; } .widget.widget--ribbon .widget-title::before, .navigation-default .menu-primary > ul > li .sub-menu, .navigation-default .menu-primary > ul > li .mega-menu, .widget.widget_calendar caption::before { border-top-color: #ff6600; } h1, h2, h3, h4, h4, h5, h6 { color: #20192f } p, .widget ul li a, .related-post-container .related-post-item .related-title a { color: #2f2546; } </style> <link rel='stylesheet' id='rtbs-css' href='https://popularscientist.com/wp-content/plugins/responsive-tabs/inc/css/rtbs_style.min.css?ver=4.0.11' type='text/css' media='all' /> <link rel='stylesheet' id='otw-shortcode-general_foundicons-css' href='https://popularscientist.com/wp-content/plugins/buttons-shortcode-and-widget/include/otw_components/otw_shortcode/css/general_foundicons.css?ver=6.6.2' type='text/css' media='all' /> <link rel='stylesheet' id='otw-shortcode-social_foundicons-css' href='https://popularscientist.com/wp-content/plugins/buttons-shortcode-and-widget/include/otw_components/otw_shortcode/css/social_foundicons.css?ver=6.6.2' type='text/css' media='all' /> <link rel='stylesheet' id='otw-shortcode-css' href='https://popularscientist.com/wp-content/plugins/buttons-shortcode-and-widget/include/otw_components/otw_shortcode/css/otw_shortcode.css?ver=6.6.2' type='text/css' media='all' /> <script type="text/javascript" src="https://popularscientist.com/wp-includes/js/jquery/jquery.min.js?ver=3.7.1" id="jquery-core-js"></script> <script type="text/javascript" src="https://popularscientist.com/wp-includes/js/jquery/jquery-migrate.min.js?ver=3.4.1" id="jquery-migrate-js"></script> <script type="text/javascript" src="https://popularscientist.com/wp-content/plugins/so-widgets-bundle/js/jquery.cycle.min.js?ver=1.64.0" id="sow-slider-slider-cycle2-js"></script> <script type="text/javascript" src="https://popularscientist.com/wp-content/plugins/so-widgets-bundle/js/slider/jquery.slider.min.js?ver=1.64.0" id="sow-slider-slider-js"></script> <script type="text/javascript" src="https://popularscientist.com/wp-content/plugins/responsive-tabs/inc/js/rtbs.min.js?ver=4.0.11" id="rtbs-js"></script> <link rel="https://api.w.org/" href="https://popularscientist.com/wp-json/" /><link rel="alternate" title="JSON" type="application/json" href="https://popularscientist.com/wp-json/wp/v2/posts/10495" /><link rel="EditURI" type="application/rsd+xml" title="RSD" href="https://popularscientist.com/xmlrpc.php?rsd" /> <meta name="generator" content="WordPress 6.6.2" /> <link rel='shortlink' href='https://popularscientist.com/?p=10495' /> <link rel="alternate" title="oEmbed (JSON)" type="application/json+oembed" href="https://popularscientist.com/wp-json/oembed/1.0/embed?url=https%3A%2F%2Fpopularscientist.com%2Fstatistics-and-probability%2F" /> <link rel="alternate" title="oEmbed (XML)" type="text/xml+oembed" href="https://popularscientist.com/wp-json/oembed/1.0/embed?url=https%3A%2F%2Fpopularscientist.com%2Fstatistics-and-probability%2F&#038;format=xml" /> <meta name="generator" content="Site Kit by Google 1.140.0" /><link rel="alternate" type="text/html" media="only screen and (max-width: 640px)" href="https://popularscientist.com/statistics-and-probability/?amp=1"><link rel="pingback" href="https://popularscientist.com/xmlrpc.php"><meta name="google-site-verification" content="b0ZMICNsah0coMbR_IYlRs5wC7_vFqsqEEGIj50__R8"><style type="text/css">.recentcomments a{display:inline !important;padding:0 !important;margin:0 !important;}</style><style type="text/css">.broken_link, a.broken_link { text-decoration: line-through; }</style><link rel="amphtml" href="https://popularscientist.com/statistics-and-probability/?amp=1"><style>#amp-mobile-version-switcher{left:0;position:absolute;width:100%;z-index:100}#amp-mobile-version-switcher>a{background-color:#444;border:0;color:#eaeaea;display:block;font-family:-apple-system,BlinkMacSystemFont,Segoe UI,Roboto,Oxygen-Sans,Ubuntu,Cantarell,Helvetica Neue,sans-serif;font-size:16px;font-weight:600;padding:15px 0;text-align:center;-webkit-text-decoration:none;text-decoration:none}#amp-mobile-version-switcher>a:active,#amp-mobile-version-switcher>a:focus,#amp-mobile-version-switcher>a:hover{-webkit-text-decoration:underline;text-decoration:underline}</style><style media="all" id="siteorigin-panels-layouts-head">/* Layout 10495 */ #pgc-10495-0-0 { width:100%;width:calc(100% - ( 0 * 30px ) ) } #pl-10495 .so-panel { margin-bottom:30px } #pl-10495 .so-panel:last-of-type { margin-bottom:0px } @media (max-width:780px){ #pg-10495-0.panel-no-style, #pg-10495-0.panel-has-style > .panel-row-style, #pg-10495-0 { -webkit-flex-direction:column;-ms-flex-direction:column;flex-direction:column } #pg-10495-0 > .panel-grid-cell , #pg-10495-0 > .panel-row-style > .panel-grid-cell { width:100%;margin-right:0 } #pl-10495 .panel-grid-cell { padding:0 } #pl-10495 .panel-grid .panel-grid-cell-empty { display:none } #pl-10495 .panel-grid .panel-grid-cell-mobile-last { margin-bottom:0px } } </style><link rel="icon" href="https://popularscientist.com/wp-content/uploads/2024/10/cropped-WhatsApp-Image-2024-10-24-at-12.10.27-PM-1-32x32.jpeg" sizes="32x32" /> <link rel="icon" href="https://popularscientist.com/wp-content/uploads/2024/10/cropped-WhatsApp-Image-2024-10-24-at-12.10.27-PM-1-192x192.jpeg" sizes="192x192" /> <link rel="apple-touch-icon" href="https://popularscientist.com/wp-content/uploads/2024/10/cropped-WhatsApp-Image-2024-10-24-at-12.10.27-PM-1-180x180.jpeg" /> <meta name="msapplication-TileImage" content="https://popularscientist.com/wp-content/uploads/2024/10/cropped-WhatsApp-Image-2024-10-24-at-12.10.27-PM-1-270x270.jpeg" /> <style id="kirki-inline-styles"></style></head> <body class="post-template-default single single-post postid-10495 single-format-standard wp-embed-responsive sp-easy-accordion-enabled siteorigin-panels siteorigin-panels-before-js fpt-template-suffice right-sidebar wide"> <script type="text/javascript" id="bbp-swap-no-js-body-class"> document.body.className = document.body.className.replace( 'bbp-no-js', 'bbp-js' ); </script> <div id="page" class="site"> <a class="skip-link screen-reader-text" href="#content">Skip to content</a> <header id="masthead" class="site-header logo-left-menu-right header-sticky header-sticky-desktop header-sticky-style-full-slide" role="banner"> <div class="header-outer-wrapper"> <div class="header-inner-wrapper"> <div class="header-bottom"> <div class="container"> <div class="header-bottom-left-section"> <div class="site-identity-container"> <div class="site-branding"> <p class="site-title"><a href="https://popularscientist.com/" rel="home">Popular Scientist</a></p> <p class="site-description">Celebrating Excellence in Science: Honoring the Visionaries of Tomorrow</p> </div><!-- .site-branding --> </div> <!-- .logo --> </div> <div class="header-bottom-right-section"> <nav id="site-navigation" class="main-navigation navigation-default menu-has-submenu-shadow menu-has-submenu-devider menu-has-submenu-indicator" role="navigation"> <header class="nav-header"> <h3 class="nav-title">Popular Scientist</h3> <a href="#" class="nav-close">close</a> </header> <div class="menu-primary"><ul id="menu-award-menus" class="primary-menu"><li id="menu-item-6545" class="menu-item menu-item-type-custom menu-item-object-custom menu-item-home menu-item-6545"><a href="https://popularscientist.com/">Home</a></li> <li id="menu-item-6546" class="menu-item menu-item-type-custom menu-item-object-custom menu-item-6546"><a href="https://popularscientist.com/award-nomination/?ecategory=Awards&#038;rcategory=Awardee">Nominate Now</a></li> <li id="menu-item-6547" class="menu-item menu-item-type-custom menu-item-object-custom menu-item-6547"><a href="https://popularscientist.com/award-registration/">Registration</a></li> <li id="menu-item-6548" class="menu-item menu-item-type-custom menu-item-object-custom menu-item-has-children menu-item-6548"><a href="#">Program</a> <ul class="sub-menu"> <li id="menu-item-10467" class="menu-item menu-item-type-post_type menu-item-object-post_grid menu-item-10467"><a href="https://popularscientist.com/post_grid/award-subject-track/">Award Subject Track</a></li> <li id="menu-item-10836" class="menu-item menu-item-type-post_type menu-item-object-post_grid menu-item-10836"><a href="https://popularscientist.com/post_grid/award-category/">Award Category</a></li> <li id="menu-item-6549" class="menu-item menu-item-type-custom menu-item-object-custom menu-item-6549"><a href="https://popularscientist.com/award-brouchure/?blink=https://popularscientist.com/wp-content/uploads/2024/11/popularscientist-awards-brouchure-2.pdf">Brouchure</a></li> <li id="menu-item-6550" class="menu-item menu-item-type-custom menu-item-object-custom menu-item-6550"><a href="https://popularscientist.com/awards-winners/">Award Winners</a></li> <li id="menu-item-6551" class="menu-item menu-item-type-custom menu-item-object-custom menu-item-6551"><a href="https://popularscientist.com/wp-content/uploads/2023/05/ScienceFather-Programe-Schdule-Common.pdf">Schedule</a></li> <li id="menu-item-6552" class="menu-item menu-item-type-custom menu-item-object-custom menu-item-6552"><a href="https://popularscientist.com/awards-terms-conditions/">Terms &#038; Conditions</a></li> <li id="menu-item-9948" class="menu-item menu-item-type-post_type menu-item-object-page menu-item-9948"><a href="https://popularscientist.com/committee-members/">Committee Members</a></li> </ul> </li> <li id="menu-item-6554" class="menu-item menu-item-type-custom menu-item-object-custom menu-item-has-children menu-item-6554"><a href="#">About</a> <ul class="sub-menu"> <li id="menu-item-6555" class="menu-item menu-item-type-custom menu-item-object-custom menu-item-6555"><a href="https://popularscientist.com/award-call-for-profile/">Call for Profile</a></li> <li id="menu-item-6556" class="menu-item menu-item-type-custom menu-item-object-custom menu-item-6556"><a href="https://popularscientist.com/award-sponsor/?ecategory=award&#038;rcategory=Sponsor">Sponsorship</a></li> <li id="menu-item-6557" class="menu-item menu-item-type-custom menu-item-object-custom menu-item-6557"><a href="https://popularscientist.com/award-exhibition/?ecategory=award&#038;rcategory=Exhibition">Exhibitions</a></li> </ul> </li> <li id="menu-item-6558" class="menu-item menu-item-type-custom menu-item-object-custom menu-item-6558"><a href="https://popularscientist.com/award-help/">Help</a></li> <li style="position:relative;" class="menu-item menu-item-gtranslate"><div style="position:absolute;white-space:nowrap;" id="gtranslate_menu_wrapper_87168"></div></li></ul></div></nav><!-- #site-navigation --> <div class="header-action-container"> <ul class="navigation-header-action"> </ul> <div class="navigation-togglers-wrapper"> <button class="menu-toggle menu-toggle-mobile" aria-controls="primary-menu" aria-expanded="false"><span class="screen-reader-text">Primary Menu for Mobile</span> <i class="fa fa-bars"></i></button> <button class="menu-toggle menu-toggle-desktop menu-toggle-navigation-default" aria-controls="primary-menu" aria-expanded="false"><span class="screen-reader-text">Primary Menu for Desktop</span> <i class="fa"></i></button> </div> <!-- .navigation-togglers-wrapper --> </div> <!-- .header-action-container --> </div> </div> <!-- .container --> </div> <!-- .header-bottom --> </div> <!-- .header-inner-wrapper --> </div> <!-- .header-outer-wrapper --> </header><!-- #masthead --> <nav class="breadcrumbs"><div class="container"><div class="breadcrumbs-page"><h1 class="breadcrumbs-page-title">Statistics and probability</h1></div> <!--.breadcrumbs-page--><ul class="breadcrumbs-trail hide-on-mobile"><li class="trail-item trail-begin"><a class="trail-home" href="https://popularscientist.com" title="Home"><span>Home</span></a></li><li class="trail-item"><a class="item-custom-post-type" href="https://popularscientist.com" title="Posts"><span>Posts</span></a></li><li class="trail-item item-category"><span><a href="https://popularscientist.com/award-subject-track/">Award Subject Track</a></span></li><li class="trail-item"><span>Statistics and probability</span></li></ul></div"></nav> <div id="heading"> </div> <div id="content" class="site-content"> <div class="container"> <div id="primary" class="content-area"> <main id="main" class="site-main" role="main"> <article id="post-10495" class="post-10495 post type-post status-publish format-standard hentry category-award-subject-track tag-advanced-statistics-and-probability-honor-2023 tag-emerging-statistics-and-probability-technologies-awards tag-future-of-statistics-and-probability-trophy-2023 tag-international-awards-on-statistics-and-probability-2023 tag-international-statistics-and-probability-awards-2024 tag-statistics-and-probability-advancements-awards tag-statistics-and-probability-and-automation-awards tag-statistics-and-probability-and-automation-trends-trophy-2023 tag-statistics-and-probability-applications-awards-2024 tag-statistics-and-probability-awards tag-statistics-and-probability-challenges-awards tag-statistics-and-probability-development-awards tag-statistics-and-probability-education-prize tag-statistics-and-probability-ethics-awards-2024 tag-statistics-and-probability-evolution-awards-2024 tag-statistics-and-probability-for-healthcare-awards tag-statistics-and-probability-for-space-exploration-awards-2024 tag-statistics-and-probability-for-sustainability-awards tag-statistics-and-probability-future-trophy-2023 tag-statistics-and-probability-grants-2024 tag-statistics-and-probability-honor tag-statistics-and-probability-impact-awards tag-statistics-and-probability-in-manufacturing-trophy-2023 tag-statistics-and-probability-industry-insights-awards-2024 tag-statistics-and-probability-industry-trophy-2023 tag-statistics-and-probability-innovations-awards-2024 tag-statistics-and-probability-policy-awards tag-statistics-and-probability-recognition-2023 tag-statistics-and-probability-research-awards tag-statistics-and-probability-revolution-awards-2024 tag-statistics-and-probability-security-awards tag-statistics-and-probability-technology-awards tag-statistics-and-probability-transformation-trophy-2023 tag-statistics-and-probability-trends-awards-2024 tag-statistics-and-probability-trophy-2023 tag-statistics-and-probability-trophy-2024 tag-statistics-and-probability-vision-trophy-2023 tag-statistics-and-probability-world-trophy-2023"> <header class="entry-header"> <div class="entry-meta"> <span class="posted-on">Posted on <a href="https://popularscientist.com/statistics-and-probability/" rel="bookmark"><time class="entry-date published" datetime="2023-10-06T16:15:51+05:30">06/10/2023</time><time class="updated" datetime="2023-10-14T16:47:04+05:30">14/10/2023</time></a></span><span class="byline"> by <span class="author vcard"><a class="url fn n" href="https://popularscientist.com/author/international-conference-on-young-scientists/">Popular Scientist</a></span></span> </div><!-- .entry-meta --> </header><!-- .entry-header --> <div class="entry-content"> <div id="pl-10495" class="panel-layout" ><div id="pg-10495-0" class="panel-grid panel-no-style" ><div id="pgc-10495-0-0" class="panel-grid-cell" ><div id="panel-10495-0-0-0" class="so-panel widget widget_sow-editor panel-first-child" data-index="0" ><div class="so-widget-sow-editor so-widget-sow-editor-base" > <div class="siteorigin-widget-tinymce textwidget"> <h2><strong>Statistics and probability</strong></h2> <h3>Introduction of Statistics and probability</h3> <p>&nbsp;</p> <div class="group final-completion w-full text-token-text-primary border-b border-black/10 gizmo:border-0 dark:border-gray-900/50 gizmo:dark:border-0 bg-gray-50 gizmo:bg-transparent dark:bg-[#444654] gizmo:dark:bg-transparent" data-testid="conversation-turn-27"> <div class="p-4 justify-center text-base md:gap-6 md:py-6 m-auto"> <div class="flex flex-1 gap-4 text-base mx-auto md:gap-6 gizmo:gap-3 gizmo:md:px-5 gizmo:lg:px-1 gizmo:xl:px-5 md:max-w-2xl lg:max-w-[38rem] gizmo:md:max-w-3xl gizmo:lg:max-w-[40rem] gizmo:xl:max-w-[48rem] xl:max-w-3xl }"> <div class="relative flex w-[calc(100%-50px)] flex-col gizmo:w-full lg:w-[calc(100%-115px)] agent-turn"> <div class="flex-col gap-1 md:gap-3"> <div class="flex flex-grow flex-col gap-3 max-w-full"> <div class="min-h-[20px] flex flex-col items-start gap-3 whitespace-pre-wrap break-words overflow-x-auto"> <div class="markdown prose w-full break-words dark:prose-invert light"> <p>Statistics and probability are twin pillars of mathematical thinking, providing tools to make sense of uncertainty and variability in the world. Statistics deals with the analysis and interpretation of data, while probability explores the likelihood of events occurring. Together, they form a powerful framework for making informed decisions in diverse fields.</p> <p><strong>Statistics and Probability Subtopics:</strong></p> <ol> <li> <h6><strong>Descriptive Statistics:</strong></h6> </li> <li>Descriptive statistics involve summarizing and presenting data in a meaningful way. This subtopic includes measures such as mean, median, and mode, as well as graphical representations like histograms and box plots to provide a snapshot of data distributions.</li> <li> <h6><strong>Inferential Statistics:</strong></h6> </li> <li>Inferential statistics enable us to draw conclusions about populations based on a sample of data. Techniques like hypothesis testing and confidence intervals fall under this subtopic, helping researchers make generalizations and predictions.</li> <li> <h6><strong>Probability Distributions:</strong></h6> </li> <li>Probability distributions describe the likelihood of different outcomes in a random experiment. From the normal distribution to the binomial and Poisson distributions, this subfield provides a mathematical foundation for understanding random phenomena.</li> <li> <h6><strong>Bayesian Statistics:</strong></h6> </li> <li>Bayesian statistics is a framework that incorporates prior knowledge or beliefs along with observed data to update and refine our understanding of a situation. This subtopic is particularly relevant in decision-making and updating probabilities as new information emerges.</li> <li> <h6><strong>Regression Analysis:</strong></h6> </li> <li>Regression analysis explores the relationship between variables, allowing us to model and predict outcomes. Whether linear or nonlinear, regression is a powerful tool in both statistics and probability, aiding in understanding patterns and making predictions.</li> </ol> <p>These subtopics underscore the versatility and applicability of statistics and probability, showcasing their importance in fields as diverse as science, business, healthcare, and beyond. They provide the analytical tools to navigate uncertainty and draw meaningful insights from the complexity of real-world data.</p> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div></div><div id="panel-10495-0-0-1" class="so-panel widget widget_sow-editor panel-last-child" data-index="1" ><div class="so-widget-sow-editor so-widget-sow-editor-base" > <div class="siteorigin-widget-tinymce textwidget"> <div id="post-grid-lazy-10463" class="post-grid-lazy"><img decoding="async" alt="" src="" /></div> <script> jQuery('#post-grid-lazy-10463').ready(function($) { $('#post-grid-lazy-10463').fadeOut(); $('#post-grid-10463 ').fadeIn(); }) </script> <style type="text/css"> #post-grid-10463 { display: none; } .post-grid-lazy { text-align: center; } </style> <div data-options='{&quot;id&quot;:&quot;10463&quot;,&quot;lazy_load&quot;:&quot;yes&quot;,&quot;masonry_enable&quot;:&quot;no&quot;,&quot;view_type&quot;:&quot;grid&quot;}' id="post-grid-10463" class="post-grid grid"> <div class="grid-items"> <div class="item item-10464 skin flat even 0 "> <div class="layer-wrapper layout-"> <div class="layer-media"></div> <div class="layer-content"> <div class="element element_1 title_link "> <a target="_blank" href="https://popularscientist.com/astronomy-and-astrophysics/">Astronomy and Astrophysics</a> </div> <div class="element element_1575568783035 excerpt "> Astronomy and Astrophysics Introduction of Astronomy and Astrophysics Embark on a celestial odyssey into the captivating realms of Astronomy and Astrophysics, where the cosmos unfolds as an intricate tapestry of </div> <a class="element element_2 read_more " target="_blank" href="https://popularscientist.com/astronomy-and-astrophysics/"></a> </div> </div> </div><div class="item item-10471 skin flat odd 1 "> <div class="layer-wrapper layout-"> <div class="layer-media"></div> <div class="layer-content"> <div class="element element_1 title_link "> <a target="_blank" href="https://popularscientist.com/biology-and-life-sciences/">Biology and Life Sciences</a> </div> <div class="element element_1575568783035 excerpt "> Biology and Life Sciences Introduction of Biology and Life Sciences Embark on a captivating exploration of Biology and Life Sciences, where the intricate tapestry of life unfolds in a symphony </div> <a class="element element_2 read_more " target="_blank" href="https://popularscientist.com/biology-and-life-sciences/"></a> </div> </div> </div><div class="item item-10473 skin flat even 2 "> <div class="layer-wrapper layout-"> <div class="layer-media"></div> <div class="layer-content"> <div class="element element_1 title_link "> <a target="_blank" href="https://popularscientist.com/chemistry-and-materials-science/">Chemistry and Materials Science</a> </div> <div class="element element_1575568783035 excerpt "> Chemistry and Materials Science Introduction of Chemistry and Materials Science Embark on a transformative journey into the realms of Chemistry and Materials Science, where the alchemy of atoms shapes the </div> <a class="element element_2 read_more " target="_blank" href="https://popularscientist.com/chemistry-and-materials-science/"></a> </div> </div> </div><div class="item item-10479 skin flat odd 3 "> <div class="layer-wrapper layout-"> <div class="layer-media"></div> <div class="layer-content"> <div class="element element_1 title_link "> <a target="_blank" href="https://popularscientist.com/environmental-science/">Environmental Science</a> </div> <div class="element element_1575568783035 excerpt "> Environmental Science Introduction of Environmental Science Environmental Science is the study of the interactions between living organisms and their surroundings, encompassing a broad range of topics that aim to understand </div> <a class="element element_2 read_more " target="_blank" href="https://popularscientist.com/environmental-science/"></a> </div> </div> </div><div class="item item-10481 skin flat even 4 "> <div class="layer-wrapper layout-"> <div class="layer-media"></div> <div class="layer-content"> <div class="element element_1 title_link "> <a target="_blank" href="https://popularscientist.com/medicine-and-health-sciences/">Medicine and Health Sciences</a> </div> <div class="element element_1575568783035 excerpt "> Medicine and Health Sciences Introduction of Medicine and Health Sciences Medicine and Health Sciences stand at the forefront of human well-being, encompassing a myriad of disciplines devoted to unraveling the </div> <a class="element element_2 read_more " target="_blank" href="https://popularscientist.com/medicine-and-health-sciences/"></a> </div> </div> </div><div class="item item-10483 skin flat odd 5 "> <div class="layer-wrapper layout-"> <div class="layer-media"></div> <div class="layer-content"> <div class="element element_1 title_link "> <a target="_blank" href="https://popularscientist.com/computer-science-and-artificial-intelligence/">Computer Science and Artificial Intelligence</a> </div> <div class="element element_1575568783035 excerpt "> Computer Science and Artificial Intelligence Introduction of Computer Science and Artificial Intelligence In the ever-evolving landscape of technology, Computer Science serves as the backbone, and Artificial Intelligence emerges as a </div> <a class="element element_2 read_more " target="_blank" href="https://popularscientist.com/computer-science-and-artificial-intelligence/"></a> </div> </div> </div><div class="item item-10497 skin flat even 6 "> <div class="layer-wrapper layout-"> <div class="layer-media"></div> <div class="layer-content"> <div class="element element_1 title_link "> <a target="_blank" href="https://popularscientist.com/social-sciences/">Social Sciences</a> </div> <div class="element element_1575568783035 excerpt "> Social Sciences Introduction of Social Sciences Social Sciences constitute a rich tapestry of disciplines dedicated to unraveling the complexities of human societies. From psychology to sociology, economics to anthropology, these </div> <a class="element element_2 read_more " target="_blank" href="https://popularscientist.com/social-sciences/"></a> </div> </div> </div><div class="item item-10498 skin flat odd 7 "> <div class="layer-wrapper layout-"> <div class="layer-media"></div> <div class="layer-content"> <div class="element element_1 title_link "> <a target="_blank" href="https://popularscientist.com/engineering-and-technology/">Engineering and Technology</a> </div> <div class="element element_1575568783035 excerpt "> Engineering and Technology Introduction of Engineering and Technology Engineering and Technology stand as the architects of progress, transforming ideas into reality through the application of scientific principles and cutting-edge innovations. </div> <a class="element element_2 read_more " target="_blank" href="https://popularscientist.com/engineering-and-technology/"></a> </div> </div> </div><div class="item item-10502 skin flat even 8 "> <div class="layer-wrapper layout-"> <div class="layer-media"></div> <div class="layer-content"> <div class="element element_1 title_link "> <a target="_blank" href="https://popularscientist.com/clinical-neuroscience/">Clinical Neuroscience</a> </div> <div class="element element_1575568783035 excerpt "> Clinical Neuroscience Introduction of Clinical Neuroscience Clinical neuroscience represents the vital intersection between neuroscience and medicine, focusing on the understanding, diagnosis, and treatment of neurological and psychiatric disorders. This field </div> <a class="element element_2 read_more " target="_blank" href="https://popularscientist.com/clinical-neuroscience/"></a> </div> </div> </div><div class="item item-10507 skin flat odd 9 "> <div class="layer-wrapper layout-"> <div class="layer-media"></div> <div class="layer-content"> <div class="element element_1 title_link "> <a target="_blank" href="https://popularscientist.com/communication-and-outreach/">Communication and Outreach</a> </div> <div class="element element_1575568783035 excerpt "> Communication and Outreach Introduction Communication and Outreach Communication and Outreach are the catalysts that bridge gaps, connecting ideas, communities, and knowledge. From disseminating information effectively to building relationships and fostering </div> <a class="element element_2 read_more " target="_blank" href="https://popularscientist.com/communication-and-outreach/"></a> </div> </div> </div> </div> <div class="pagination"> <div class="paginate"> <span aria-current="page" class="page-numbers current">1</span> <a class="page-numbers" href="https://popularscientist.com/statistics-and-probability/page/2/">2</a> <a class="page-numbers" href="https://popularscientist.com/statistics-and-probability/page/3/">3</a> <a class="page-numbers" href="https://popularscientist.com/statistics-and-probability/page/4/">4</a> <a class="next page-numbers" href="https://popularscientist.com/statistics-and-probability/page/2/">Next 禄</a> </div> <style type="text/css"> #post-grid-10463 .pagination .page-numbers { font-size: 16px; color: #fff; background: #646464; } #post-grid-10463 .pagination .page-numbers:hover, #post-grid-10463 .pagination .page-numbers.current { background: #4b4b4b; } </style> </div> <script> </script> <style type="text/css"> #post-grid-10463 .element_0 { display: block;font-size: 13px;line-height: normal;padding: 5px 10px;text-align: left; } #post-grid-10463 .element_1 { display: block;font-size: 21px;line-height: normal;padding: 5px 10px;text-align: left; } #post-grid-10463 .element_1575568783035 { display: block;font-size: 13px;line-height: normal;padding: 5px 10px;text-align: left; } #post-grid-10463 .element_2 { display: block;font-size: 13px;line-height: normal;padding: 5px 10px;text-align: left; } #post-grid-10463 .element_0:hover{}#post-grid-10463 .element_1:hover{}#post-grid-10463 .element_1575568783035:hover{}#post-grid-10463 .element_2:hover{} </style> <style type="text/css"> #post-grid-10463 { } #post-grid-10463 .item { padding: 0px; background: #fff; } #post-grid-10463 .item .layer-media { height:auto; } @media only screen and (min-width: 0px) and (max-width: 767px) { #post-grid-10463 .grid-items { display: grid; grid-template-columns: 1fr ; column-gap: 10px; row-gap: 10px; } #post-grid-10463 .item { height:auto; } } @media only screen and (min-width: 768px) and (max-width: 1023px) { #post-grid-10463 .grid-items { display: grid; grid-template-columns: 1fr ; column-gap: 10px; row-gap: 10px; } #post-grid-10463 .item { max-height:auto; } } @media only screen and (min-width: 1024px) { #post-grid-10463 .grid-items { display: grid; grid-template-columns: 1fr ; column-gap: 10px; row-gap: 10px; } #post-grid-10463 .item { height:auto; } } </style> </div> </div> </div></div></div></div></div><div class="extra-hatom-entry-title"><span class="entry-title">Statistics and probability</span></div> </div><!-- .entry-content --> <footer class="entry-footer"> <span class="cat-links">Posted in: <a href="https://popularscientist.com/award-subject-track/" rel="category tag">Award Subject Track</a></span><span class="tags-links">Tagged: <a href="https://popularscientist.com/tag/advanced-statistics-and-probability-honor-2023/" rel="tag">Advanced Statistics and Probability Honor 2023</a>, <a href="https://popularscientist.com/tag/emerging-statistics-and-probability-technologies-awards/" rel="tag">Emerging Statistics and Probability Technologies Awards</a>, <a href="https://popularscientist.com/tag/future-of-statistics-and-probability-trophy-2023/" rel="tag">Future of Statistics and Probability Trophy 2023</a>, <a href="https://popularscientist.com/tag/international-awards-on-statistics-and-probability-2023/" rel="tag">International Awards on Statistics and Probability 2023</a>, <a href="https://popularscientist.com/tag/international-statistics-and-probability-awards-2024/" rel="tag">International Statistics and Probability Awards 2024</a>, <a href="https://popularscientist.com/tag/statistics-and-probability-advancements-awards/" rel="tag">Statistics and Probability Advancements Awards</a>, <a href="https://popularscientist.com/tag/statistics-and-probability-and-automation-awards/" rel="tag">Statistics and Probability and Automation Awards</a>, <a href="https://popularscientist.com/tag/statistics-and-probability-and-automation-trends-trophy-2023/" rel="tag">Statistics and Probability and Automation Trends Trophy 2023</a>, <a href="https://popularscientist.com/tag/statistics-and-probability-applications-awards-2024/" rel="tag">Statistics and Probability Applications Awards 2024</a>, <a href="https://popularscientist.com/tag/statistics-and-probability-awards/" rel="tag">Statistics and Probability Awards</a>, <a href="https://popularscientist.com/tag/statistics-and-probability-challenges-awards/" rel="tag">Statistics and Probability Challenges Awards</a>, <a href="https://popularscientist.com/tag/statistics-and-probability-development-awards/" rel="tag">Statistics and Probability Development Awards</a>, <a href="https://popularscientist.com/tag/statistics-and-probability-education-prize/" rel="tag">Statistics and Probability Education Prize</a>, <a href="https://popularscientist.com/tag/statistics-and-probability-ethics-awards-2024/" rel="tag">Statistics and Probability Ethics Awards 2024</a>, <a href="https://popularscientist.com/tag/statistics-and-probability-evolution-awards-2024/" rel="tag">Statistics and Probability Evolution Awards 2024</a>, <a href="https://popularscientist.com/tag/statistics-and-probability-for-healthcare-awards/" rel="tag">Statistics and Probability for Healthcare Awards</a>, <a href="https://popularscientist.com/tag/statistics-and-probability-for-space-exploration-awards-2024/" rel="tag">Statistics and Probability for Space Exploration Awards 2024</a>, <a href="https://popularscientist.com/tag/statistics-and-probability-for-sustainability-awards/" rel="tag">Statistics and Probability for Sustainability Awards</a>, <a href="https://popularscientist.com/tag/statistics-and-probability-future-trophy-2023/" rel="tag">Statistics and Probability Future Trophy 2023</a>, <a href="https://popularscientist.com/tag/statistics-and-probability-grants-2024/" rel="tag">Statistics and Probability Grants 2024</a>, <a href="https://popularscientist.com/tag/statistics-and-probability-honor/" rel="tag">Statistics and Probability Honor</a>, <a href="https://popularscientist.com/tag/statistics-and-probability-impact-awards/" rel="tag">Statistics and Probability Impact Awards</a>, <a href="https://popularscientist.com/tag/statistics-and-probability-in-manufacturing-trophy-2023/" rel="tag">Statistics and Probability in Manufacturing Trophy 2023</a>, <a href="https://popularscientist.com/tag/statistics-and-probability-industry-insights-awards-2024/" rel="tag">Statistics and Probability Industry Insights Awards 2024</a>, <a href="https://popularscientist.com/tag/statistics-and-probability-industry-trophy-2023/" rel="tag">Statistics and Probability Industry Trophy 2023</a>, <a href="https://popularscientist.com/tag/statistics-and-probability-innovations-awards-2024/" rel="tag">Statistics and Probability Innovations Awards 2024</a>, <a href="https://popularscientist.com/tag/statistics-and-probability-policy-awards/" rel="tag">Statistics and Probability Policy Awards</a>, <a href="https://popularscientist.com/tag/statistics-and-probability-recognition-2023/" rel="tag">Statistics and Probability Recognition 2023</a>, <a href="https://popularscientist.com/tag/statistics-and-probability-research-awards/" rel="tag">Statistics and Probability Research Awards</a>, <a href="https://popularscientist.com/tag/statistics-and-probability-revolution-awards-2024/" rel="tag">Statistics and Probability Revolution Awards 2024</a>, <a href="https://popularscientist.com/tag/statistics-and-probability-security-awards/" rel="tag">Statistics and Probability Security Awards</a>, <a href="https://popularscientist.com/tag/statistics-and-probability-technology-awards/" rel="tag">Statistics and Probability Technology Awards</a>, <a href="https://popularscientist.com/tag/statistics-and-probability-transformation-trophy-2023/" rel="tag">Statistics and Probability Transformation Trophy 2023</a>, <a href="https://popularscientist.com/tag/statistics-and-probability-trends-awards-2024/" rel="tag">Statistics and Probability Trends Awards 2024</a>, <a href="https://popularscientist.com/tag/statistics-and-probability-trophy-2023/" rel="tag">Statistics and Probability Trophy 2023</a>, <a href="https://popularscientist.com/tag/statistics-and-probability-trophy-2024/" rel="tag">Statistics and Probability Trophy 2024</a>, <a href="https://popularscientist.com/tag/statistics-and-probability-vision-trophy-2023/" rel="tag">Statistics and Probability Vision Trophy 2023</a>, <a href="https://popularscientist.com/tag/statistics-and-probability-world-trophy-2023/" rel="tag">Statistics and Probability World Trophy 2023</a></span> </footer><!-- .entry-footer --> </article><!-- #post-## --> <nav class="navigation post-navigation" aria-label="Posts"> <h2 class="screen-reader-text">Post navigation</h2> <div class="nav-links"><div class="nav-previous"><a href="https://popularscientist.com/computer-science-and-artificial-intelligence/" rel="prev">Computer Science and Artificial Intelligence</a></div><div class="nav-next"><a href="https://popularscientist.com/social-sciences/" rel="next">Social Sciences</a></div></div> </nav> <div class="related-post-container related-post-style-default related-post-carousel swiper-container" data-carousel-active = 1 data-carousel-column =3 data-carousel-column-spacing = 30 data-carousel-autoplay = 1500> <h4 class="related-post__title">You May Also Like</h4> <ul class="related-post-list-container swiper-wrapper"> <li class="related-post-item swiper-slide"> <div class="related-post-item-inner"> <figure class="related-thumbnail"> <a href="https://popularscientist.com/synthetic-biotechnology/"> <img src="https://popularscientist.com/wp-content/themes/suffice/assets/img/no-related-post.png" alt=""> </a> </figure> <!-- .related-thumbnail --> <header class="related-header"> <h5 class="related-title"><a href="https://popularscientist.com/synthetic-biotechnology/" rel="bookmark">Synthetic Biotechnology</a></h5> </header> </div> <!-- .related-post-inner --> </li> <!-- .related-post-item --> <li class="related-post-item swiper-slide"> <div class="related-post-item-inner"> <figure class="related-thumbnail"> <a href="https://popularscientist.com/social-impact-of-scientific-discoveries/"> <img src="https://popularscientist.com/wp-content/themes/suffice/assets/img/no-related-post.png" alt=""> </a> </figure> <!-- .related-thumbnail --> <header class="related-header"> <h5 class="related-title"><a href="https://popularscientist.com/social-impact-of-scientific-discoveries/" rel="bookmark">Social Impact of Scientific Discoveries</a></h5> </header> </div> <!-- .related-post-inner --> </li> <!-- .related-post-item --> <li class="related-post-item swiper-slide"> <div class="related-post-item-inner"> <figure class="related-thumbnail"> <a href="https://popularscientist.com/agricultural-science-and-innovation/"> <img src="https://popularscientist.com/wp-content/themes/suffice/assets/img/no-related-post.png" alt=""> </a> </figure> <!-- .related-thumbnail --> <header class="related-header"> <h5 class="related-title"><a href="https://popularscientist.com/agricultural-science-and-innovation/" rel="bookmark">Agricultural Science and Innovation</a></h5> </header> </div> <!-- .related-post-inner --> </li> <!-- .related-post-item --> <li class="related-post-item swiper-slide"> <div class="related-post-item-inner"> <figure class="related-thumbnail"> <a href="https://popularscientist.com/energy-and-sustainability/"> <img src="https://popularscientist.com/wp-content/themes/suffice/assets/img/no-related-post.png" alt=""> </a> </figure> <!-- .related-thumbnail --> <header class="related-header"> <h5 class="related-title"><a href="https://popularscientist.com/energy-and-sustainability/" rel="bookmark">Energy and Sustainability</a></h5> </header> </div> <!-- .related-post-inner --> </li> <!-- .related-post-item --> <li class="related-post-item swiper-slide"> <div class="related-post-item-inner"> <figure class="related-thumbnail"> <a href="https://popularscientist.com/space-exploration-technologies/"> <img src="https://popularscientist.com/wp-content/themes/suffice/assets/img/no-related-post.png" alt=""> </a> </figure> <!-- .related-thumbnail --> <header class="related-header"> <h5 class="related-title"><a href="https://popularscientist.com/space-exploration-technologies/" rel="bookmark">Space Exploration Technologies</a></h5> </header> </div> <!-- .related-post-inner --> </li> <!-- .related-post-item --> <li class="related-post-item swiper-slide"> <div class="related-post-item-inner"> <figure class="related-thumbnail"> <a href="https://popularscientist.com/evolutionary-biology/"> <img src="https://popularscientist.com/wp-content/themes/suffice/assets/img/no-related-post.png" alt=""> </a> </figure> <!-- .related-thumbnail --> <header class="related-header"> <h5 class="related-title"><a href="https://popularscientist.com/evolutionary-biology/" rel="bookmark">Evolutionary Biology</a></h5> </header> </div> <!-- .related-post-inner --> </li> <!-- .related-post-item --> </ul> <div class="recent-button-next"></div> <div class="recent-button-prev"></div> </div> <!-- .related-post --> </main><!-- #main --> </div><!-- #primary --> <aside id="secondary" class="widget-area" role="complementary"> </aside><!-- #secondary --> </div><!-- #content --> </div> <!-- .container --> <footer id="colophon" class="site-footer" role="contentinfo"> <div class="footer-top"> <div class="container"> <div class="footer-widgets footer-widgets-col--four"> <div class="footer-widget-area footer-sidebar-1"> <section id="custom_html-2" class="widget_text widget widget_custom_html"><h2 class="widget-title">Latest News</h2><div class="textwidget custom-html-widget"><marquee style="font-family: calibri; color: white" bgcolor="" direction="up" height="180" scrolldelay="400" > Popular Scientist Awards welcomes researchers from popular scientist field to be a part of our Popular Scientist Awards. Join our international community and exchange your knowledge with the experts and professionals from your field of Research. <br> <strong>Announcement:</strong> All accepted papers will be included in the award proceedings, which will be published in one of the Science Father journals. <br/> </marquee></div></section><section id="sow-headline-2" class="widget widget_sow-headline"><div class="so-widget-sow-headline so-widget-sow-headline-default-5583c7bbb65c" ><div class="sow-headline-container "> <h5 class="sow-headline"> RECOMMENDED </h5> <p class="sow-sub-headline"> <a href="https://popularscientist.com/" target="_blank" rel="noopener noreferrer"> Popular Scientist Awards</a> </p> </div> </div></section> </div> <div class="footer-widget-area footer-sidebar-2"> <section id="sow-social-media-buttons-2" class="widget widget_sow-social-media-buttons"><div class="so-widget-sow-social-media-buttons so-widget-sow-social-media-buttons-atom-fe04de364491" > <h2 class="widget-title">al Media</h2> <div class="social-media-button-container"> <a class="ow-button-hover sow-social-media-button-x-twitter-0 sow-social-media-button" title="Popular Scientist on X Twitter" aria-label="Popular Scientist on X Twitter" target="_blank" rel="noopener noreferrer" href="https://twitter.com/MansiJadav1995" > <span> <span class="sow-icon-fontawesome sow-fab" data-sow-icon="&#xe61b;" aria-hidden="true"></span> </span> </a> <a class="ow-button-hover sow-social-media-button-pinterest-0 sow-social-media-button" title="Popular Scientist on Pinterest" aria-label="Popular Scientist on Pinterest" target="_blank" rel="noopener noreferrer" href="https://in.pinterest.com/MansiJadav1995/" > <span> <span class="sow-icon-fontawesome sow-fab" data-sow-icon="&#xf0d2;" aria-hidden="true"></span> </span> </a> <a class="ow-button-hover sow-social-media-button-blogger-b-0 sow-social-media-button" title="Popular Scientist on Blogger B" aria-label="Popular Scientist on Blogger B" target="_blank" rel="noopener noreferrer" href="https://mansijadav.blogspot.com/" > <span> <span class="sow-icon-fontawesome sow-fab" data-sow-icon="&#xf37d;" aria-hidden="true"></span> </span> </a> <a class="ow-button-hover sow-social-media-button-youtube-0 sow-social-media-button" title="Popular Scientist on Youtube" aria-label="Popular Scientist on Youtube" target="_blank" rel="noopener noreferrer" href="https://www.youtube.com/channel/UCactLF90_z2eDSADUZ6XwTw" > <span> <span class="sow-icon-fontawesome sow-fab" data-sow-icon="&#xf167;" aria-hidden="true"></span> </span> </a> <a class="ow-button-hover sow-social-media-button-facebook-0 sow-social-media-button" title="Popular Scientist on Facebook" aria-label="Popular Scientist on Facebook" target="_blank" rel="noopener noreferrer" href="https://www.facebook.com/profile.php?id=100092663933329" > <span> <span class="sow-icon-fontawesome sow-fab" data-sow-icon="&#xf39e;" aria-hidden="true"></span> </span> </a> <a class="ow-button-hover sow-social-media-button-instagram-0 sow-social-media-button" title="Popular Scientist on Instagram" aria-label="Popular Scientist on Instagram" target="_blank" rel="noopener noreferrer" href="https://www.instagram.com/mansi__jadav/" > <span> <span class="sow-icon-fontawesome sow-fab" data-sow-icon="&#xf16d;" aria-hidden="true"></span> </span> </a> <a class="ow-button-hover sow-social-media-button-tumblr-0 sow-social-media-button" title="Popular Scientist on Tumblr" aria-label="Popular Scientist on Tumblr" target="_blank" rel="noopener noreferrer" href="https://www.tumblr.com/blog/mansijadav" > <span> <span class="sow-icon-fontawesome sow-fab" data-sow-icon="&#xf173;" aria-hidden="true"></span> </span> </a> <a class="ow-button-hover sow-social-media-button-reddit-0 sow-social-media-button" title="Popular Scientist on Reddit" aria-label="Popular Scientist on Reddit" target="_blank" rel="noopener noreferrer" href="https://www.reddit.com/user/Mansi_Jadav" > <span> <span class="sow-icon-fontawesome sow-fab" data-sow-icon="&#xf1a1;" aria-hidden="true"></span> </span> </a> </div> </div></section><section id="sow-editor-5" class="widget widget_sow-editor"><div class="so-widget-sow-editor so-widget-sow-editor-base" ><h2 class="widget-title">Mail us</h2> <div class="siteorigin-widget-tinymce textwidget"> <p>Drop us an email for Event聽 enquiry:<br /> <span style="color: #ff6600;">contact@popularscientist.com</span></p> <p>General / Sponsors / Exhibiting / Advertising:<br /> <span style="color: #ff6600;"><a style="color: #ff6600;" href="mailto:contact@sciencefather.com">contact@popularscientist.com聽</a></span></p> </div> </div></section> </div> <div class="footer-widget-area footer-sidebar-3"> <section id="sow-editor-4" class="widget widget_sow-editor"><div class="so-widget-sow-editor so-widget-sow-editor-base" ><h2 class="widget-title">Contact</h2> <div class="siteorigin-widget-tinymce textwidget"> <p style="text-align: center;"><script type="text/javascript"></script> <div class='gf_browser_ie gf_browser_ie7 gform_wrapper gform_legacy_markup_wrapper gform-theme--no-framework' data-form-theme='legacy' data-form-index='0' id='gform_wrapper_40' ><form method='post' enctype='multipart/form-data' id='gform_40' action='/statistics-and-probability/' data-formid='40' novalidate> <div class='gform-body gform_body'><ul id='gform_fields_40' class='gform_fields left_label form_sublabel_below description_below validation_below'><li id="field_40_2" class="gfield gfield--type-text field_sublabel_below gfield--no-description field_description_below field_validation_below gfield_visibility_visible" data-js-reload="field_40_2" ><label class='gfield_label gform-field-label' for='input_40_2'>Name</label><div class='ginput_container ginput_container_text'><input name='input_2' id='input_40_2' type='text' value='' class='large' placeholder='Name' aria-invalid="false" /> </div></li><li id="field_40_3" class="gfield gfield--type-email field_sublabel_below gfield--no-description field_description_below field_validation_below gfield_visibility_visible" data-js-reload="field_40_3" ><label class='gfield_label gform-field-label' for='input_40_3'>Email</label><div class='ginput_container ginput_container_email'> <input name='input_3' id='input_40_3' type='email' value='' class='large' placeholder='Email' aria-invalid="false" /> </div></li><li id="field_40_4" class="gfield gfield--type-phone field_sublabel_below gfield--no-description field_description_below field_validation_below gfield_visibility_visible" data-js-reload="field_40_4" ><label class='gfield_label gform-field-label' for='input_40_4'>Phone</label><div class='ginput_container ginput_container_phone'><input name='input_4' id='input_40_4' type='tel' value='' class='large' placeholder='Phone' aria-invalid="false" /></div></li><li id="field_40_6" class="gfield gfield--type-text field_sublabel_below gfield--no-description field_description_below field_validation_below gfield_visibility_visible" data-js-reload="field_40_6" ><label class='gfield_label gform-field-label' for='input_40_6'>Query</label><div class='ginput_container ginput_container_text'><input name='input_6' id='input_40_6' type='text' value='' class='large' placeholder='Query' aria-invalid="false" /> </div></li><li id="field_40_7" class="gfield gfield--type-captcha field_sublabel_below gfield--no-description field_description_below field_validation_below gfield_visibility_visible" data-js-reload="field_40_7" ><label class='gfield_label gform-field-label' for='input_40_7'>CAPTCHA</label><div id='input_40_7' class='ginput_container ginput_recaptcha' data-sitekey='6Lc-lU8mAAAAAGTaLa6axtcfZdjoc4qzP-nbFI-W' data-theme='light' data-tabindex='0' data-badge=''></div></li></ul></div> <div class='gform_footer left_label'> <input type='submit' id='gform_submit_button_40' class='gform_button button' value='Submit' onclick='if(window["gf_submitting_40"]){return false;} if( !jQuery("#gform_40")[0].checkValidity || jQuery("#gform_40")[0].checkValidity()){window["gf_submitting_40"]=true;} ' onkeypress='if( event.keyCode == 13 ){ if(window["gf_submitting_40"]){return false;} if( !jQuery("#gform_40")[0].checkValidity || jQuery("#gform_40")[0].checkValidity()){window["gf_submitting_40"]=true;} jQuery("#gform_40").trigger("submit",[true]); }' /> <input type='hidden' class='gform_hidden' name='is_submit_40' value='1' /> <input type='hidden' class='gform_hidden' name='gform_submit' value='40' /> <input type='hidden' class='gform_hidden' name='gform_unique_id' value='' /> <input type='hidden' class='gform_hidden' name='state_40' value='WyJbXSIsIjY4MjRiYzZmNzY2NmJjMzY1MzYxNDRkODZjZjAxYTIwIl0=' /> <input type='hidden' class='gform_hidden' name='gform_target_page_number_40' id='gform_target_page_number_40' value='0' /> <input type='hidden' class='gform_hidden' name='gform_source_page_number_40' id='gform_source_page_number_40' value='1' /> <input type='hidden' name='gform_field_values' value='' /> </div> </form> </div><script type="text/javascript"> /* <![CDATA[ */ gform.initializeOnLoaded( function() {gformInitSpinner( 40, 'https://popularscientist.com/wp-content/plugins/gravityforms/images/spinner.svg', true );jQuery('#gform_ajax_frame_40').on('load',function(){var contents = jQuery(this).contents().find('*').html();var is_postback = contents.indexOf('GF_AJAX_POSTBACK') >= 0;if(!is_postback){return;}var form_content = jQuery(this).contents().find('#gform_wrapper_40');var is_confirmation = jQuery(this).contents().find('#gform_confirmation_wrapper_40').length > 0;var is_redirect = contents.indexOf('gformRedirect(){') >= 0;var is_form = form_content.length > 0 && ! is_redirect && ! is_confirmation;var mt = parseInt(jQuery('html').css('margin-top'), 10) + parseInt(jQuery('body').css('margin-top'), 10) + 100;if(is_form){jQuery('#gform_wrapper_40').html(form_content.html());if(form_content.hasClass('gform_validation_error')){jQuery('#gform_wrapper_40').addClass('gform_validation_error');} else {jQuery('#gform_wrapper_40').removeClass('gform_validation_error');}setTimeout( function() { /* delay the scroll by 50 milliseconds to fix a bug in chrome */ }, 50 );if(window['gformInitDatepicker']) {gformInitDatepicker();}if(window['gformInitPriceFields']) {gformInitPriceFields();}var current_page = jQuery('#gform_source_page_number_40').val();gformInitSpinner( 40, 'https://popularscientist.com/wp-content/plugins/gravityforms/images/spinner.svg', true );jQuery(document).trigger('gform_page_loaded', [40, current_page]);window['gf_submitting_40'] = false;}else if(!is_redirect){var confirmation_content = jQuery(this).contents().find('.GF_AJAX_POSTBACK').html();if(!confirmation_content){confirmation_content = contents;}jQuery('#gform_wrapper_40').replaceWith(confirmation_content);jQuery(document).trigger('gform_confirmation_loaded', [40]);window['gf_submitting_40'] = false;wp.a11y.speak(jQuery('#gform_confirmation_message_40').text());}else{jQuery('#gform_40').append(contents);if(window['gformRedirect']) {gformRedirect();}}jQuery(document).trigger("gform_pre_post_render", [{ formId: "40", currentPage: "current_page", abort: function() { this.preventDefault(); } }]); if (event && event.defaultPrevented) { return; } const gformWrapperDiv = document.getElementById( "gform_wrapper_40" ); if ( gformWrapperDiv ) { const visibilitySpan = document.createElement( "span" ); visibilitySpan.id = "gform_visibility_test_40"; gformWrapperDiv.insertAdjacentElement( "afterend", visibilitySpan ); } const visibilityTestDiv = document.getElementById( "gform_visibility_test_40" ); let postRenderFired = false; function triggerPostRender() { if ( postRenderFired ) { return; } postRenderFired = true; jQuery( document ).trigger( 'gform_post_render', [40, current_page] ); gform.utils.trigger( { event: 'gform/postRender', native: false, data: { formId: 40, currentPage: current_page } } ); if ( visibilityTestDiv ) { visibilityTestDiv.parentNode.removeChild( visibilityTestDiv ); } } function debounce( func, wait, immediate ) { var timeout; return function() { var context = this, args = arguments; var later = function() { timeout = null; if ( !immediate ) func.apply( context, args ); }; var callNow = immediate && !timeout; clearTimeout( timeout ); timeout = setTimeout( later, wait ); if ( callNow ) func.apply( context, args ); }; } const debouncedTriggerPostRender = debounce( function() { triggerPostRender(); }, 200 ); if ( visibilityTestDiv && visibilityTestDiv.offsetParent === null ) { const observer = new MutationObserver( ( mutations ) => { mutations.forEach( ( mutation ) => { if ( mutation.type === 'attributes' && visibilityTestDiv.offsetParent !== null ) { debouncedTriggerPostRender(); observer.disconnect(); } }); }); observer.observe( document.body, { attributes: true, childList: false, subtree: true, attributeFilter: [ 'style', 'class' ], }); } else { triggerPostRender(); } } );} ); /* ]]> */ </script> </p> </div> </div></section> </div> <div class="footer-widget-area footer-sidebar-4"> <link rel='stylesheet' id='gform_basic-css' href='https://popularscientist.com/wp-content/plugins/gravityforms/assets/css/dist/basic.min.css?ver=2.8.18' type='text/css' media='all' /> <link rel='stylesheet' id='gform_theme_components-css' href='https://popularscientist.com/wp-content/plugins/gravityforms/assets/css/dist/theme-components.min.css?ver=2.8.18' type='text/css' media='all' /> <link rel='stylesheet' id='gform_theme_ie11-css' href='https://popularscientist.com/wp-content/plugins/gravityforms/assets/css/dist/theme-ie11.min.css?ver=2.8.18' type='text/css' media='all' /> <link rel='stylesheet' id='gform_theme-css' href='https://popularscientist.com/wp-content/plugins/gravityforms/assets/css/dist/theme.min.css?ver=2.8.18' type='text/css' media='all' /> <script type="text/javascript" src="https://popularscientist.com/wp-includes/js/dist/dom-ready.min.js?ver=f77871ff7694fffea381" id="wp-dom-ready-js"></script> <script type="text/javascript" src="https://popularscientist.com/wp-includes/js/dist/hooks.min.js?ver=2810c76e705dd1a53b18" id="wp-hooks-js"></script> <script type="text/javascript" src="https://popularscientist.com/wp-includes/js/dist/i18n.min.js?ver=5e580eb46a90c2b997e6" id="wp-i18n-js"></script> <script type="text/javascript" id="wp-i18n-js-after"> /* <![CDATA[ */ wp.i18n.setLocaleData( { 'text direction\u0004ltr': [ 'ltr' ] } ); /* ]]> */ </script> <script type="text/javascript" id="wp-a11y-js-translations"> /* <![CDATA[ */ ( function( domain, translations ) { var localeData = translations.locale_data[ domain ] || translations.locale_data.messages; localeData[""].domain = domain; wp.i18n.setLocaleData( localeData, domain ); } )( "default", {"translation-revision-date":"2024-07-09 16:06:37+0000","generator":"GlotPress\/4.0.1","domain":"messages","locale_data":{"messages":{"":{"domain":"messages","plural-forms":"nplurals=2; plural=n != 1;","lang":"en_GB"},"Notifications":["Notifications"]}},"comment":{"reference":"wp-includes\/js\/dist\/a11y.js"}} ); /* ]]> */ </script> <script type="text/javascript" src="https://popularscientist.com/wp-includes/js/dist/a11y.min.js?ver=d90eebea464f6c09bfd5" id="wp-a11y-js"></script> <script type="text/javascript" defer='defer' src="https://popularscientist.com/wp-content/plugins/gravityforms/js/jquery.json.min.js?ver=2.8.18" id="gform_json-js"></script> <script type="text/javascript" id="gform_gravityforms-js-extra"> /* <![CDATA[ */ var gform_i18n = {"datepicker":{"days":{"monday":"Mo","tuesday":"Tu","wednesday":"We","thursday":"Th","friday":"Fr","saturday":"Sa","sunday":"Su"},"months":{"january":"January","february":"February","march":"March","april":"April","may":"May","june":"June","july":"July","august":"August","september":"September","october":"October","november":"November","december":"December"},"firstDay":1,"iconText":"Select date"}}; var gf_legacy_multi = []; var gform_gravityforms = {"strings":{"invalid_file_extension":"This type of file is not allowed. Must be one of the following:","delete_file":"Delete this file","in_progress":"in progress","file_exceeds_limit":"File exceeds size limit","illegal_extension":"This type of file is not allowed.","max_reached":"Maximum number of files reached","unknown_error":"There was a problem while saving the file on the server","currently_uploading":"Please wait for the uploading to complete","cancel":"Cancel","cancel_upload":"Cancel this upload","cancelled":"Cancelled"},"vars":{"images_url":"https:\/\/popularscientist.com\/wp-content\/plugins\/gravityforms\/images"}}; var gf_global = {"gf_currency_config":{"name":"U.S. Dollar","symbol_left":"$","symbol_right":"","symbol_padding":"","thousand_separator":",","decimal_separator":".","decimals":2,"code":"USD"},"base_url":"https:\/\/popularscientist.com\/wp-content\/plugins\/gravityforms","number_formats":[],"spinnerUrl":"https:\/\/popularscientist.com\/wp-content\/plugins\/gravityforms\/images\/spinner.svg","version_hash":"73f348888938c065db3a5cb9f7c21310","strings":{"newRowAdded":"New row added.","rowRemoved":"Row removed","formSaved":"The form has been saved. The content contains the link to return and complete the form."}}; var gf_global = {"gf_currency_config":{"name":"U.S. Dollar","symbol_left":"$","symbol_right":"","symbol_padding":"","thousand_separator":",","decimal_separator":".","decimals":2,"code":"USD"},"base_url":"https:\/\/popularscientist.com\/wp-content\/plugins\/gravityforms","number_formats":[],"spinnerUrl":"https:\/\/popularscientist.com\/wp-content\/plugins\/gravityforms\/images\/spinner.svg","version_hash":"73f348888938c065db3a5cb9f7c21310","strings":{"newRowAdded":"New row added.","rowRemoved":"Row removed","formSaved":"The form has been saved. The content contains the link to return and complete the form."}}; /* ]]> */ </script> <script type="text/javascript" defer='defer' src="https://popularscientist.com/wp-content/plugins/gravityforms/js/gravityforms.min.js?ver=2.8.18" id="gform_gravityforms-js"></script> <section id="gform_login_widget-2" class="widget gform_login_widget"><h2 class="widget-title">OFFICE LOGIN ONLY</h2><div class='gf_browser_ie gf_browser_ie7 gform_wrapper gf_login_form gravity-theme' id='gform_wrapper_0'><form method='post' id='gform_0'><input type='hidden' name='login_redirect' value='https://popularscientist.com/statistics-and-probability/' /><div class='gform_body'><div id='gform_fields_login' class='gform_fields top_label'><div id="field_0_1" class="gfield gfield--type-text gfield_contains_required field_sublabel_below gfield--no-description field_description_below field_validation_below gfield_visibility_visible" data-js-reload="field_0_1" ><label class='gfield_label gform-field-label' for='input_1'>Username<span class="gfield_required"><span class="gfield_required gfield_required_text">(Required)</span></span></label><div class='ginput_container ginput_container_text'><input name='input_1' id='input_1' type='text' value='' class='' tabindex='1' aria-required="true" aria-invalid="false" /> </div></div><div id="field_0_2" class="gfield gfield--type-text gfield_contains_required field_sublabel_below gfield--no-description field_description_below field_validation_below gfield_visibility_visible" data-js-reload="field_0_2" ><label class='gfield_label gform-field-label' for='input_2'>Password<span class="gfield_required"><span class="gfield_required gfield_required_text">(Required)</span></span></label><div class='ginput_container ginput_container_text'><input name='input_2' id='input_2' type='password' value='' class='' tabindex='2' aria-required="true" aria-invalid="false" /> </div></div><div id="field_0_3" class="gfield gfield--type-remember_me field_sublabel_below gfield--no-description field_description_below hidden_label field_validation_below gfield_visibility_visible" data-js-reload="field_0_3" ><label class='gfield_label gform-field-label screen-reader-text gfield_label_before_complex' ></label><div class='ginput_container ginput_container_checkbox'><div class='gfield_checkbox' id='input_3'><div class='gchoice gchoice_3'> <input class='gfield-choice-input' name='input_3.1' type='checkbox' value='1' id='choice_3' tabindex='3' /> <label for='choice_3' id='label_3'>Remember Me</label> </div></div></div></div></div></div> <div class='gform_footer top_label'> <input type='submit' id='gform_submit_button_0' class='gform_button button' value='Login' tabindex='4' onclick='if(window["gf_submitting_0"]){return false;} if( !jQuery("#gform_0")[0].checkValidity || jQuery("#gform_0")[0].checkValidity()){window["gf_submitting_0"]=true;} ' onkeypress='if( event.keyCode == 13 ){ if(window["gf_submitting_0"]){return false;} if( !jQuery("#gform_0")[0].checkValidity || jQuery("#gform_0")[0].checkValidity()){window["gf_submitting_0"]=true;} jQuery("#gform_0").trigger("submit",[true]); }' /> <input type='hidden' class='gform_hidden' name='is_submit_0' value='1' /> <input type='hidden' class='gform_hidden' name='gform_submit' value='0' /> <input type='hidden' class='gform_hidden' name='gform_unique_id' value='' /> <input type='hidden' class='gform_hidden' name='state_0' value='WyJbXSIsIjY4MjRiYzZmNzY2NmJjMzY1MzYxNDRkODZjZjAxYTIwIl0=' /> <input type='hidden' class='gform_hidden' name='gform_target_page_number_0' id='gform_target_page_number_0' value='0' /> <input type='hidden' class='gform_hidden' name='gform_source_page_number_0' id='gform_source_page_number_0' value='1' /> <input type='hidden' name='gform_field_values' value='' /> </div></form></div><nav class="gf_login_links"><a href="youngscientistawards.comuser-registration/" title="Register">Register</a><br /><a href="https://popularscientist.com/wp-login.php?action=lostpassword" title="Forgot Password?">Forgot Password?</a><br /></nav></section> </div> </div> <!-- footer-widgets --> </div> <!-- end container --> </div> <!-- end footer-top --> <div class="footer-bottom"> <div class="container"> <div class="footer-bottom-container"> <div class="site-info"> <div class="copyright">Copyright &copy; 2024 <a href="https://popularscientist.com/" title="Popular Scientist" ><span>Popular Scientist</span></a>. All rights reserved. Theme <a href="https://themegrill.com/themes/suffice" target="_blank" title="Suffice" rel="nofollow"><span>Suffice</span></a> by ThemeGrill. Powered by: <a href="https://wordpress.org" target="_blank" title="WordPress" rel="nofollow"><span>WordPress</span></a>.</div> </div><!-- .site-info --> <div class="footer-navigation"> </div> <!-- .footer-navigation --> </div> <!-- .footer-bottom-container --> </div> <!-- .container --> </div> <!-- .footer --> </footer><!-- #colophon --> </div><!-- #page --> <div class="suffice-body-dimmer"> </div> <nav id="mobile-navigation" class="mobile-navigation" role="navigation"> <header class="nav-header"> <h3 class="nav-title">Popular Scientist</h3> <a href="#" class="nav-close">close</a> </header> <div class="menu-primary"><ul id="menu-award-menus-1" class="primary-menu"><li class="menu-item menu-item-type-custom menu-item-object-custom menu-item-home menu-item-6545"><a href="https://popularscientist.com/">Home</a></li> <li class="menu-item menu-item-type-custom menu-item-object-custom menu-item-6546"><a href="https://popularscientist.com/award-nomination/?ecategory=Awards&#038;rcategory=Awardee">Nominate Now</a></li> <li class="menu-item menu-item-type-custom menu-item-object-custom menu-item-6547"><a href="https://popularscientist.com/award-registration/">Registration</a></li> <li class="menu-item menu-item-type-custom menu-item-object-custom menu-item-has-children menu-item-6548"><a href="#">Program</a> <ul class="sub-menu"> <li class="menu-item menu-item-type-post_type menu-item-object-post_grid menu-item-10467"><a href="https://popularscientist.com/post_grid/award-subject-track/">Award Subject Track</a></li> <li class="menu-item menu-item-type-post_type menu-item-object-post_grid menu-item-10836"><a href="https://popularscientist.com/post_grid/award-category/">Award Category</a></li> <li class="menu-item menu-item-type-custom menu-item-object-custom menu-item-6549"><a href="https://popularscientist.com/award-brouchure/?blink=https://popularscientist.com/wp-content/uploads/2024/11/popularscientist-awards-brouchure-2.pdf">Brouchure</a></li> <li class="menu-item menu-item-type-custom menu-item-object-custom menu-item-6550"><a href="https://popularscientist.com/awards-winners/">Award Winners</a></li> <li class="menu-item menu-item-type-custom menu-item-object-custom menu-item-6551"><a href="https://popularscientist.com/wp-content/uploads/2023/05/ScienceFather-Programe-Schdule-Common.pdf">Schedule</a></li> <li class="menu-item menu-item-type-custom menu-item-object-custom menu-item-6552"><a href="https://popularscientist.com/awards-terms-conditions/">Terms &#038; Conditions</a></li> <li class="menu-item menu-item-type-post_type menu-item-object-page menu-item-9948"><a href="https://popularscientist.com/committee-members/">Committee Members</a></li> </ul> </li> <li class="menu-item menu-item-type-custom menu-item-object-custom menu-item-has-children menu-item-6554"><a href="#">About</a> <ul class="sub-menu"> <li class="menu-item menu-item-type-custom menu-item-object-custom menu-item-6555"><a href="https://popularscientist.com/award-call-for-profile/">Call for Profile</a></li> <li class="menu-item menu-item-type-custom menu-item-object-custom menu-item-6556"><a href="https://popularscientist.com/award-sponsor/?ecategory=award&#038;rcategory=Sponsor">Sponsorship</a></li> <li class="menu-item menu-item-type-custom menu-item-object-custom menu-item-6557"><a href="https://popularscientist.com/award-exhibition/?ecategory=award&#038;rcategory=Exhibition">Exhibitions</a></li> </ul> </li> <li class="menu-item menu-item-type-custom menu-item-object-custom menu-item-6558"><a href="https://popularscientist.com/award-help/">Help</a></li> <li style="position:relative;" class="menu-item menu-item-gtranslate"><div style="position:absolute;white-space:nowrap;" id="gtranslate_menu_wrapper_59044"></div></li></ul></div></nav><!-- #site-navigation --> <!-- Fruitful Shortcodes Custom Styles --> <style> </style> <script type="text/javascript">function add_chatinline(){var hccid=52807921;var nt=document.createElement("script");nt.async=true;nt.src="https://mylivechat.com/chatinline.aspx?hccid="+hccid;var ct=document.getElementsByTagName("script")[0];ct.parentNode.insertBefore(nt,ct);} add_chatinline(); </script> <div id="amp-mobile-version-switcher" hidden> <a rel="" href="https://popularscientist.com/statistics-and-probability/?amp=1"> Go to mobile version </a> </div> <link rel='stylesheet' id='post-grid-shortcode-style-css' href='https://popularscientist.com/wp-content/plugins/post-grid/assets/css/post-grid-shortcode-style.css?ver=6.6.2' type='text/css' media='all' /> <link rel='stylesheet' id='post-grid-blocks-styles-css' href='https://popularscientist.com/wp-content/plugins/post-grid/assets/block-css/block-styles.css?ver=6.6.2' type='text/css' media='all' /> <link rel='stylesheet' id='post-grid-custom-fonts-css' href='https://popularscientist.com/wp-content/plugins/post-grid/assets/block-css/custom-fonts.css?ver=6.6.2' type='text/css' media='all' /> <link rel='stylesheet' id='sow-social-media-buttons-atom-fe04de364491-css' href='https://popularscientist.com/wp-content/uploads/siteorigin-widgets/sow-social-media-buttons-atom-fe04de364491.css?ver=6.6.2' type='text/css' media='all' /> <link rel='stylesheet' id='siteorigin-widget-icon-font-fontawesome-css' href='https://popularscientist.com/wp-content/plugins/so-widgets-bundle/icons/fontawesome/style.css?ver=6.6.2' type='text/css' media='all' /> <link rel='stylesheet' id='gforms_reset_css-css' href='https://popularscientist.com/wp-content/plugins/gravityforms/legacy/css/formreset.min.css?ver=2.8.18' type='text/css' media='all' /> <link rel='stylesheet' id='gforms_formsmain_css-css' href='https://popularscientist.com/wp-content/plugins/gravityforms/legacy/css/formsmain.min.css?ver=2.8.18' type='text/css' media='all' /> <link rel='stylesheet' id='gforms_ready_class_css-css' href='https://popularscientist.com/wp-content/plugins/gravityforms/legacy/css/readyclass.min.css?ver=2.8.18' type='text/css' media='all' /> <link rel='stylesheet' id='gforms_browsers_css-css' href='https://popularscientist.com/wp-content/plugins/gravityforms/legacy/css/browsers.min.css?ver=2.8.18' type='text/css' media='all' /> <script type="text/javascript" src="https://popularscientist.com/wp-content/plugins/fruitful-shortcodes/fruitful-shortcodes-2.0.0/assets/js/front.min.js?ver=071120180241" id="ff-shortcodes-js"></script> <script type="text/javascript" src="https://popularscientist.com/wp-content/plugins/fruitful-shortcodes/fruitful-shortcodes-2.0.0//assets/shared/fruitful_alert/js/scripts.min.js?ver=071120180241" id="ff-fruitful_alert-js"></script> <script type="text/javascript" src="https://popularscientist.com/wp-content/plugins/fruitful-shortcodes/fruitful-shortcodes-2.0.0/assets/libs/wow/wow.min.js?ver=071120180241" id="wow-js"></script> <script type="text/javascript" src="https://popularscientist.com/wp-content/plugins/fruitful-shortcodes/fruitful-shortcodes-2.0.0//assets/shared/fruitful_pbar/js/scripts.min.js?ver=071120180241" id="ff-fruitful_pbar-js"></script> <script type="text/javascript" src="https://popularscientist.com/wp-content/plugins/fruitful-shortcodes/fruitful-shortcodes-2.0.0/assets/libs/slick/slick.min.js?ver=071120180241" id="slick-js"></script> <script type="text/javascript" src="https://popularscientist.com/wp-content/plugins/fruitful-shortcodes/fruitful-shortcodes-2.0.0//assets/shared/fruitful_recent_posts_slider/js/scripts.min.js?ver=071120180241" id="ff-fruitful_recent_posts_slider-js"></script> <script type="text/javascript" src="https://popularscientist.com/wp-content/plugins/fruitful-shortcodes/fruitful-shortcodes-2.0.0//assets/shared/fruitful_tabs/js/scripts.min.js?ver=071120180241" id="ff-fruitful_tabs-js"></script> <script type="text/javascript" src="https://popularscientist.com/wp-includes/js/jquery/ui/core.min.js?ver=1.13.3" id="jquery-ui-core-js"></script> <script type="text/javascript" src="https://popularscientist.com/wp-includes/js/jquery/ui/mouse.min.js?ver=1.13.3" id="jquery-ui-mouse-js"></script> <script type="text/javascript" src="https://popularscientist.com/wp-includes/js/jquery/ui/sortable.min.js?ver=1.13.3" id="jquery-ui-sortable-js"></script> <script type="text/javascript" src="https://popularscientist.com/wp-includes/js/jquery/ui/draggable.min.js?ver=1.13.3" id="jquery-ui-draggable-js"></script> <script type="text/javascript" src="https://popularscientist.com/wp-includes/js/jquery/ui/droppable.min.js?ver=1.13.3" id="jquery-ui-droppable-js"></script> <script type="text/javascript" src="https://popularscientist.com/wp-content/plugins/logo-showcase/frontend/js/owl.carousel.js?ver=2.4" id="logo-showcase-owl-js-js"></script> <script type="text/javascript" src="https://popularscientist.com/wp-content/plugins/logo-showcase/frontend/js/tipso.js?ver=1.0.8" id="logo-showcase-tipso-js-js"></script> <script type="text/javascript" src="https://popularscientist.com/wp-content/themes/suffice/assets/js/skip-link-focus-fix.js?ver=20151215" id="suffice-skip-link-focus-fix-js"></script> <script type="text/javascript" src="https://popularscientist.com/wp-content/themes/suffice/assets/js/swiper.jquery.min.js?ver=3.4.0" id="swiper-js"></script> <script type="text/javascript" src="https://popularscientist.com/wp-content/themes/suffice/assets/js/jquery.waypoints.min.js?ver=4.0.1" id="waypoints-js"></script> <script type="text/javascript" src="https://popularscientist.com/wp-content/themes/suffice/assets/js/jquery.visible.min.js?ver=1.0.0" id="visible-js"></script> <script type="text/javascript" src="https://popularscientist.com/wp-content/themes/suffice/assets/js/headroom.min.js?ver=0.9" id="headroom-js"></script> <script type="text/javascript" src="https://popularscientist.com/wp-content/themes/suffice/assets/js/jQuery.headroom.min.js?ver=0.9" id="headroom-jquery-js"></script> <script type="text/javascript" src="https://popularscientist.com/wp-content/themes/suffice/assets/js/perfect-scrollbar.jquery.min.js?ver=0.6.16" id="perfect-scrollbar-js"></script> <script type="text/javascript" src="https://popularscientist.com/wp-content/themes/suffice/assets/js/isotope.pkgd.min.js?ver=3.0.2" id="isotope-js"></script> <script type="text/javascript" src="https://popularscientist.com/wp-content/themes/suffice/assets/js/countUp.min.js?ver=1.8.3" id="countup-js"></script> <script type="text/javascript" src="https://popularscientist.com/wp-content/themes/suffice/assets/js/smooth-scroll.min.js?ver=10.2.1" id="smooth-scroll-js"></script> <script type="text/javascript" src="https://popularscientist.com/wp-content/themes/suffice/assets/js/gumshoe.min.js?ver=3.3.3" id="gumshoe-js"></script> <script type="text/javascript" src="https://popularscientist.com/wp-content/themes/suffice/assets/js/suffice-custom.min.js?ver=1.0" id="suffice-custom-js"></script> <script type="text/javascript" id="gt_widget_script_18804060-js-before"> /* <![CDATA[ */ window.gtranslateSettings = /* document.write */ window.gtranslateSettings || {};window.gtranslateSettings['18804060'] = {"default_language":"en","languages":["ar","zh-CN","nl","en","fr","de","it","pt","ru","es"],"url_structure":"none","detect_browser_language":1,"flag_style":"3d","flag_size":16,"wrapper_selector":"#gtranslate_menu_wrapper_87168","alt_flags":[],"switcher_open_direction":"top","switcher_horizontal_position":"inline","switcher_text_color":"#666","switcher_arrow_color":"#666","switcher_border_color":"#ccc","switcher_background_color":"#fff","switcher_background_shadow_color":"#efefef","switcher_background_hover_color":"#fff","dropdown_text_color":"#000","dropdown_hover_color":"#fff","dropdown_background_color":"#eee","flags_location":"\/wp-content\/plugins\/gtranslate\/flags\/"}; /* ]]> */ </script><script src="https://popularscientist.com/wp-content/plugins/gtranslate/js/dwf.js?ver=6.6.2" data-no-optimize="1" data-no-minify="1" data-gt-orig-url="/statistics-and-probability/" data-gt-orig-domain="popularscientist.com" data-gt-widget-id="18804060" defer></script><script type="text/javascript" src="https://popularscientist.com/wp-content/plugins/post-grid/assets/js/jquery-scrollto.js?ver=6.6.2" id="scrollto-js"></script> <script type="text/javascript" id="post-grid-shortcode-scripts-js-extra"> /* <![CDATA[ */ var post_grid_ajax = {"post_grid_ajaxurl":"https:\/\/popularscientist.com\/wp-admin\/admin-ajax.php","_wpnonce":"0d9555897d"}; /* ]]> */ </script> <script type="text/javascript" src="https://popularscientist.com/wp-content/plugins/post-grid/assets/js/post-grid-shortcode-scripts.js?ver=6.6.2" id="post-grid-shortcode-scripts-js"></script> <script type="text/javascript" defer='defer' src="https://www.google.com/recaptcha/api.js?hl=en&amp;ver=6.6.2#038;render=explicit" id="gform_recaptcha-js"></script> <script type="text/javascript" defer='defer' src="https://popularscientist.com/wp-content/plugins/gravityforms/js/jquery.maskedinput.min.js?ver=2.8.18" id="gform_masked_input-js"></script> <script type="text/javascript" defer='defer' src="https://popularscientist.com/wp-content/plugins/gravityforms/js/placeholders.jquery.min.js?ver=2.8.18" id="gform_placeholder-js"></script> <script type="text/javascript" defer='defer' src="https://popularscientist.com/wp-content/plugins/gravityforms/assets/js/dist/utils.min.js?ver=50c7bea9c2320e16728e44ae9fde5f26" id="gform_gravityforms_utils-js"></script> <script type="text/javascript" defer='defer' src="https://popularscientist.com/wp-content/plugins/gravityforms/assets/js/dist/vendor-theme.min.js?ver=54e7080aa7a02c83aa61fae430b9d869" id="gform_gravityforms_theme_vendors-js"></script> <script type="text/javascript" id="gform_gravityforms_theme-js-extra"> /* <![CDATA[ */ var gform_theme_config = {"common":{"form":{"honeypot":{"version_hash":"73f348888938c065db3a5cb9f7c21310"}}},"hmr_dev":"","public_path":"https:\/\/popularscientist.com\/wp-content\/plugins\/gravityforms\/assets\/js\/dist\/"}; /* ]]> */ </script> <script type="text/javascript" defer='defer' src="https://popularscientist.com/wp-content/plugins/gravityforms/assets/js/dist/scripts-theme.min.js?ver=bab19fd84843dabc070e73326d787910" id="gform_gravityforms_theme-js"></script> <script type="text/javascript" id="gt_widget_script_15696780-js-before"> /* <![CDATA[ */ window.gtranslateSettings = /* document.write */ window.gtranslateSettings || {};window.gtranslateSettings['15696780'] = {"default_language":"en","languages":["ar","zh-CN","nl","en","fr","de","it","pt","ru","es"],"url_structure":"none","detect_browser_language":1,"flag_style":"3d","flag_size":16,"wrapper_selector":"#gtranslate_menu_wrapper_59044","alt_flags":[],"switcher_open_direction":"top","switcher_horizontal_position":"inline","switcher_text_color":"#666","switcher_arrow_color":"#666","switcher_border_color":"#ccc","switcher_background_color":"#fff","switcher_background_shadow_color":"#efefef","switcher_background_hover_color":"#fff","dropdown_text_color":"#000","dropdown_hover_color":"#fff","dropdown_background_color":"#eee","flags_location":"\/wp-content\/plugins\/gtranslate\/flags\/"}; /* ]]> */ </script><script src="https://popularscientist.com/wp-content/plugins/gtranslate/js/dwf.js?ver=6.6.2" data-no-optimize="1" data-no-minify="1" data-gt-orig-url="/statistics-and-probability/" data-gt-orig-domain="popularscientist.com" data-gt-widget-id="15696780" defer></script><script src="https://my.hellobar.com/53e8e0345b09aa06b248f14d667bbc3775008008.js" type="text/javascript" charset="utf-8" async="async"></script><script type="text/javascript">window._hellobar_wordpress_tags = window._hellobar_wordpress_tags || []; window._hellobar_wordpress_tags.push("Advanced Statistics and Probability Honor 2023"); </script><script type="text/javascript">window._hellobar_wordpress_tags = window._hellobar_wordpress_tags || []; window._hellobar_wordpress_tags.push("Emerging Statistics and Probability Technologies Awards"); </script><script type="text/javascript">window._hellobar_wordpress_tags = window._hellobar_wordpress_tags || []; window._hellobar_wordpress_tags.push("Future of Statistics and Probability Trophy 2023"); </script><script type="text/javascript">window._hellobar_wordpress_tags = window._hellobar_wordpress_tags || []; window._hellobar_wordpress_tags.push("International Awards on Statistics and Probability 2023"); </script><script type="text/javascript">window._hellobar_wordpress_tags = window._hellobar_wordpress_tags || []; window._hellobar_wordpress_tags.push("International Statistics and Probability Awards 2024"); </script><script type="text/javascript">window._hellobar_wordpress_tags = window._hellobar_wordpress_tags || []; window._hellobar_wordpress_tags.push("Statistics and Probability Advancements Awards"); </script><script type="text/javascript">window._hellobar_wordpress_tags = window._hellobar_wordpress_tags || []; window._hellobar_wordpress_tags.push("Statistics and Probability and Automation Awards"); </script><script type="text/javascript">window._hellobar_wordpress_tags = window._hellobar_wordpress_tags || []; window._hellobar_wordpress_tags.push("Statistics and Probability and Automation Trends Trophy 2023"); </script><script type="text/javascript">window._hellobar_wordpress_tags = window._hellobar_wordpress_tags || []; window._hellobar_wordpress_tags.push("Statistics and Probability Applications Awards 2024"); </script><script type="text/javascript">window._hellobar_wordpress_tags = window._hellobar_wordpress_tags || []; window._hellobar_wordpress_tags.push("Statistics and Probability Awards"); </script><script type="text/javascript">window._hellobar_wordpress_tags = window._hellobar_wordpress_tags || []; window._hellobar_wordpress_tags.push("Statistics and Probability Challenges Awards"); </script><script type="text/javascript">window._hellobar_wordpress_tags = window._hellobar_wordpress_tags || []; window._hellobar_wordpress_tags.push("Statistics and Probability Development Awards"); </script><script type="text/javascript">window._hellobar_wordpress_tags = window._hellobar_wordpress_tags || []; window._hellobar_wordpress_tags.push("Statistics and Probability Education Prize"); </script><script type="text/javascript">window._hellobar_wordpress_tags = window._hellobar_wordpress_tags || []; window._hellobar_wordpress_tags.push("Statistics and Probability Ethics Awards 2024"); </script><script type="text/javascript">window._hellobar_wordpress_tags = window._hellobar_wordpress_tags || []; window._hellobar_wordpress_tags.push("Statistics and Probability Evolution Awards 2024"); </script><script type="text/javascript">window._hellobar_wordpress_tags = window._hellobar_wordpress_tags || []; window._hellobar_wordpress_tags.push("Statistics and Probability for Healthcare Awards"); </script><script type="text/javascript">window._hellobar_wordpress_tags = window._hellobar_wordpress_tags || []; window._hellobar_wordpress_tags.push("Statistics and Probability for Space Exploration Awards 2024"); </script><script type="text/javascript">window._hellobar_wordpress_tags = window._hellobar_wordpress_tags || []; window._hellobar_wordpress_tags.push("Statistics and Probability for Sustainability Awards"); </script><script type="text/javascript">window._hellobar_wordpress_tags = window._hellobar_wordpress_tags || []; window._hellobar_wordpress_tags.push("Statistics and Probability Future Trophy 2023"); </script><script type="text/javascript">window._hellobar_wordpress_tags = window._hellobar_wordpress_tags || []; window._hellobar_wordpress_tags.push("Statistics and Probability Grants 2024"); </script><script type="text/javascript">window._hellobar_wordpress_tags = window._hellobar_wordpress_tags || []; window._hellobar_wordpress_tags.push("Statistics and Probability Honor"); </script><script type="text/javascript">window._hellobar_wordpress_tags = window._hellobar_wordpress_tags || []; window._hellobar_wordpress_tags.push("Statistics and Probability Impact Awards"); </script><script type="text/javascript">window._hellobar_wordpress_tags = window._hellobar_wordpress_tags || []; window._hellobar_wordpress_tags.push("Statistics and Probability in Manufacturing Trophy 2023"); </script><script type="text/javascript">window._hellobar_wordpress_tags = window._hellobar_wordpress_tags || []; window._hellobar_wordpress_tags.push("Statistics and Probability Industry Insights Awards 2024"); </script><script type="text/javascript">window._hellobar_wordpress_tags = window._hellobar_wordpress_tags || []; window._hellobar_wordpress_tags.push("Statistics and Probability Industry Trophy 2023"); </script><script type="text/javascript">window._hellobar_wordpress_tags = window._hellobar_wordpress_tags || []; window._hellobar_wordpress_tags.push("Statistics and Probability Innovations Awards 2024"); </script><script type="text/javascript">window._hellobar_wordpress_tags = window._hellobar_wordpress_tags || []; window._hellobar_wordpress_tags.push("Statistics and Probability Policy Awards"); </script><script type="text/javascript">window._hellobar_wordpress_tags = window._hellobar_wordpress_tags || []; window._hellobar_wordpress_tags.push("Statistics and Probability Recognition 2023"); </script><script type="text/javascript">window._hellobar_wordpress_tags = window._hellobar_wordpress_tags || []; window._hellobar_wordpress_tags.push("Statistics and Probability Research Awards"); </script><script type="text/javascript">window._hellobar_wordpress_tags = window._hellobar_wordpress_tags || []; window._hellobar_wordpress_tags.push("Statistics and Probability Revolution Awards 2024"); </script><script type="text/javascript">window._hellobar_wordpress_tags = window._hellobar_wordpress_tags || []; window._hellobar_wordpress_tags.push("Statistics and Probability Security Awards"); </script><script type="text/javascript">window._hellobar_wordpress_tags = window._hellobar_wordpress_tags || []; window._hellobar_wordpress_tags.push("Statistics and Probability Technology Awards"); </script><script type="text/javascript">window._hellobar_wordpress_tags = window._hellobar_wordpress_tags || []; window._hellobar_wordpress_tags.push("Statistics and Probability Transformation Trophy 2023"); </script><script type="text/javascript">window._hellobar_wordpress_tags = window._hellobar_wordpress_tags || []; window._hellobar_wordpress_tags.push("Statistics and Probability Trends Awards 2024"); </script><script type="text/javascript">window._hellobar_wordpress_tags = window._hellobar_wordpress_tags || []; window._hellobar_wordpress_tags.push("Statistics and Probability Trophy 2023"); </script><script type="text/javascript">window._hellobar_wordpress_tags = window._hellobar_wordpress_tags || []; window._hellobar_wordpress_tags.push("Statistics and Probability Trophy 2024"); </script><script type="text/javascript">window._hellobar_wordpress_tags = window._hellobar_wordpress_tags || []; window._hellobar_wordpress_tags.push("Statistics and Probability Vision Trophy 2023"); </script><script type="text/javascript">window._hellobar_wordpress_tags = window._hellobar_wordpress_tags || []; window._hellobar_wordpress_tags.push("Statistics and Probability World Trophy 2023"); </script><script>document.body.className = document.body.className.replace("siteorigin-panels-before-js","");</script><script type="text/javascript"> /* <![CDATA[ */ gform.initializeOnLoaded( function() { jQuery(document).on('gform_post_render', function(event, formId, currentPage){if(formId == 40) {if(typeof Placeholders != 'undefined'){ Placeholders.enable(); }jQuery('#input_40_4').mask('(999) 999-9999').bind('keypress', function(e){if(e.which == 13){jQuery(this).blur();} } );} } );jQuery(document).on('gform_post_conditional_logic', function(event, formId, fields, isInit){} ) } ); /* ]]> */ </script> <script type="text/javascript"> /* <![CDATA[ */ gform.initializeOnLoaded( function() {jQuery(document).trigger("gform_pre_post_render", [{ formId: "40", currentPage: "1", abort: function() { this.preventDefault(); } }]); if (event && event.defaultPrevented) { return; } const gformWrapperDiv = document.getElementById( "gform_wrapper_40" ); if ( gformWrapperDiv ) { const visibilitySpan = document.createElement( "span" ); visibilitySpan.id = "gform_visibility_test_40"; gformWrapperDiv.insertAdjacentElement( "afterend", visibilitySpan ); } const visibilityTestDiv = document.getElementById( "gform_visibility_test_40" ); let postRenderFired = false; function triggerPostRender() { if ( postRenderFired ) { return; } postRenderFired = true; jQuery( document ).trigger( 'gform_post_render', [40, 1] ); gform.utils.trigger( { event: 'gform/postRender', native: false, data: { formId: 40, currentPage: 1 } } ); if ( visibilityTestDiv ) { visibilityTestDiv.parentNode.removeChild( visibilityTestDiv ); } } function debounce( func, wait, immediate ) { var timeout; return function() { var context = this, args = arguments; var later = function() { timeout = null; if ( !immediate ) func.apply( context, args ); }; var callNow = immediate && !timeout; clearTimeout( timeout ); timeout = setTimeout( later, wait ); if ( callNow ) func.apply( context, args ); }; } const debouncedTriggerPostRender = debounce( function() { triggerPostRender(); }, 200 ); if ( visibilityTestDiv && visibilityTestDiv.offsetParent === null ) { const observer = new MutationObserver( ( mutations ) => { mutations.forEach( ( mutation ) => { if ( mutation.type === 'attributes' && visibilityTestDiv.offsetParent !== null ) { debouncedTriggerPostRender(); observer.disconnect(); } }); }); observer.observe( document.body, { attributes: true, childList: false, subtree: true, attributeFilter: [ 'style', 'class' ], }); } else { triggerPostRender(); } } ); /* ]]> */ </script> </body> </html> <!-- Page cached by LiteSpeed Cache 6.5.2 on 2024-11-27 16:35:50 -->

Pages: 1 2 3 4 5 6 7 8 9 10