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class="vector-toc-numb">1</span> <span>性質</span> </div> </a> <ul id="toc-性質-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-睇埋" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#睇埋"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>睇埋</span> </div> </a> <ul id="toc-睇埋-sublist" class="vector-toc-list"> </ul> </li> </ul> </div> </div> </nav> </div> </div> <div class="mw-content-container"> <main id="content" class="mw-body"> <header class="mw-body-header vector-page-titlebar"> <nav aria-label="目錄" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" > <input type="checkbox" id="vector-page-titlebar-toc-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-titlebar-toc" class="vector-dropdown-checkbox " aria-label="開/收內容一覽" > <label id="vector-page-titlebar-toc-label" for="vector-page-titlebar-toc-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-listBullet mw-ui-icon-wikimedia-listBullet"></span> <span class="vector-dropdown-label-text">開/收內容一覽</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-titlebar-toc-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <h1 id="firstHeading" class="firstHeading mw-first-heading"><span class="mw-page-title-main">二項分佈</span></h1> <div id="p-lang-btn" class="vector-dropdown mw-portlet mw-portlet-lang" > <input type="checkbox" id="p-lang-btn-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-p-lang-btn" class="vector-dropdown-checkbox mw-interlanguage-selector" aria-label="去睇另一種語文嘅文章。有52種語言版本。" > <label id="p-lang-btn-label" for="p-lang-btn-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--action-progressive mw-portlet-lang-heading-52" aria-hidden="true" ><span class="vector-icon mw-ui-icon-language-progressive mw-ui-icon-wikimedia-language-progressive"></span> <span class="vector-dropdown-label-text">52種語言</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D8%AA%D9%88%D8%B2%D9%8A%D8%B9_%D8%AB%D9%86%D8%A7%D8%A6%D9%8A_%D8%A7%D9%84%D8%AD%D8%AF%D9%8A%D9%86" title="توزيع ثنائي الحدين – 阿拉伯文" lang="ar" hreflang="ar" data-title="توزيع ثنائي الحدين" data-language-autonym="العربية" data-language-local-name="阿拉伯文" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-ast mw-list-item"><a href="https://ast.wikipedia.org/wiki/Distribuci%C3%B3n_bin%C3%B3mica" title="Distribución binómica – 阿斯圖里亞文" lang="ast" hreflang="ast" data-title="Distribución binómica" data-language-autonym="Asturianu" data-language-local-name="阿斯圖里亞文" class="interlanguage-link-target"><span>Asturianu</span></a></li><li class="interlanguage-link interwiki-be mw-list-item"><a href="https://be.wikipedia.org/wiki/%D0%91%D1%96%D0%BD%D0%BE%D0%BC%D0%BD%D0%B0%D0%B5_%D1%80%D0%B0%D0%B7%D0%BC%D0%B5%D1%80%D0%BA%D0%B0%D0%B2%D0%B0%D0%BD%D0%BD%D0%B5" title="Біномнае размеркаванне – 白俄羅斯文" lang="be" hreflang="be" data-title="Біномнае размеркаванне" data-language-autonym="Беларуская" data-language-local-name="白俄羅斯文" class="interlanguage-link-target"><span>Беларуская</span></a></li><li class="interlanguage-link interwiki-bn mw-list-item"><a href="https://bn.wikipedia.org/wiki/%E0%A6%A6%E0%A7%8D%E0%A6%AC%E0%A6%BF%E0%A6%AA%E0%A6%A6%E0%A7%80_%E0%A6%AC%E0%A6%A8%E0%A7%8D%E0%A6%9F%E0%A6%A8" title="দ্বিপদী বন্টন – 孟加拉文" lang="bn" hreflang="bn" data-title="দ্বিপদী বন্টন" data-language-autonym="বাংলা" data-language-local-name="孟加拉文" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Distribuci%C3%B3_binomial" title="Distribució binomial – 加泰羅尼亞文" lang="ca" hreflang="ca" data-title="Distribució binomial" data-language-autonym="Català" data-language-local-name="加泰羅尼亞文" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Binomick%C3%A9_rozd%C4%9Blen%C3%AD" title="Binomické rozdělení – 捷克文" lang="cs" hreflang="cs" data-title="Binomické rozdělení" data-language-autonym="Čeština" data-language-local-name="捷克文" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/Binomialfordelingen" title="Binomialfordelingen – 丹麥文" lang="da" hreflang="da" data-title="Binomialfordelingen" data-language-autonym="Dansk" data-language-local-name="丹麥文" class="interlanguage-link-target"><span>Dansk</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Binomialverteilung" title="Binomialverteilung – 德文" lang="de" hreflang="de" data-title="Binomialverteilung" data-language-autonym="Deutsch" data-language-local-name="德文" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/%CE%94%CE%B9%CF%89%CE%BD%CF%85%CE%BC%CE%B9%CE%BA%CE%AE_%CE%BA%CE%B1%CF%84%CE%B1%CE%BD%CE%BF%CE%BC%CE%AE" title="Διωνυμική κατανομή – 希臘文" lang="el" hreflang="el" data-title="Διωνυμική κατανομή" data-language-autonym="Ελληνικά" data-language-local-name="希臘文" class="interlanguage-link-target"><span>Ελληνικά</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Binomial_distribution" title="Binomial distribution – 英文" lang="en" hreflang="en" data-title="Binomial distribution" data-language-autonym="English" data-language-local-name="英文" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Distribuci%C3%B3n_binomial" title="Distribución binomial – 西班牙文" lang="es" hreflang="es" data-title="Distribución binomial" data-language-autonym="Español" data-language-local-name="西班牙文" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-et mw-list-item"><a href="https://et.wikipedia.org/wiki/Binoomjaotus" title="Binoomjaotus – 愛沙尼亞文" lang="et" hreflang="et" data-title="Binoomjaotus" data-language-autonym="Eesti" data-language-local-name="愛沙尼亞文" class="interlanguage-link-target"><span>Eesti</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Banaketa_binomial" title="Banaketa binomial – 巴斯克文" lang="eu" hreflang="eu" data-title="Banaketa binomial" data-language-autonym="Euskara" data-language-local-name="巴斯克文" class="interlanguage-link-target"><span>Euskara</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D8%AA%D9%88%D8%B2%DB%8C%D8%B9_%D8%AF%D9%88%D8%AC%D9%85%D9%84%D9%87%E2%80%8C%D8%A7%DB%8C" title="توزیع دوجمله‌ای – 波斯文" lang="fa" hreflang="fa" data-title="توزیع دوجمله‌ای" data-language-autonym="فارسی" data-language-local-name="波斯文" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Binomijakauma" title="Binomijakauma – 芬蘭文" lang="fi" hreflang="fi" data-title="Binomijakauma" data-language-autonym="Suomi" data-language-local-name="芬蘭文" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-fr badge-Q17437798 badge-goodarticle mw-list-item" title="好文"><a href="https://fr.wikipedia.org/wiki/Loi_binomiale" title="Loi binomiale – 法文" lang="fr" hreflang="fr" data-title="Loi binomiale" data-language-autonym="Français" data-language-local-name="法文" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/Distribuci%C3%B3n_binomial" title="Distribución binomial – 加里西亞文" lang="gl" hreflang="gl" data-title="Distribución binomial" data-language-autonym="Galego" data-language-local-name="加里西亞文" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%94%D7%AA%D7%A4%D7%9C%D7%92%D7%95%D7%AA_%D7%91%D7%99%D7%A0%D7%95%D7%9E%D7%99%D7%AA" title="התפלגות בינומית – 希伯來文" lang="he" hreflang="he" data-title="התפלגות בינומית" data-language-autonym="עברית" data-language-local-name="希伯來文" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-hi mw-list-item"><a href="https://hi.wikipedia.org/wiki/%E0%A4%A6%E0%A5%8D%E0%A4%B5%E0%A4%BF%E0%A4%AA%E0%A4%A6_%E0%A4%B5%E0%A4%BF%E0%A4%A4%E0%A4%B0%E0%A4%A3" title="द्विपद वितरण – 北印度文" lang="hi" hreflang="hi" data-title="द्विपद वितरण" data-language-autonym="हिन्दी" data-language-local-name="北印度文" class="interlanguage-link-target"><span>हिन्दी</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Binomi%C3%A1lis_eloszl%C3%A1s" title="Binomiális eloszlás – 匈牙利文" lang="hu" hreflang="hu" data-title="Binomiális eloszlás" data-language-autonym="Magyar" data-language-local-name="匈牙利文" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Distribusi_binomial" title="Distribusi binomial – 印尼文" lang="id" hreflang="id" data-title="Distribusi binomial" data-language-autonym="Bahasa Indonesia" data-language-local-name="印尼文" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Distribuzione_binomiale" title="Distribuzione binomiale – 義大利文" lang="it" hreflang="it" data-title="Distribuzione binomiale" data-language-autonym="Italiano" data-language-local-name="義大利文" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E4%BA%8C%E9%A0%85%E5%88%86%E5%B8%83" title="二項分布 – 日文" lang="ja" hreflang="ja" data-title="二項分布" data-language-autonym="日本語" data-language-local-name="日文" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-kk mw-list-item"><a href="https://kk.wikipedia.org/wiki/%D0%91%D0%B8%D0%BD%D0%BE%D0%BC%D0%B4%D1%8B%D2%9B_%D2%AF%D0%BB%D0%B5%D1%81%D1%82%D1%96%D1%80%D1%96%D0%BB%D1%83" title="Биномдық үлестірілу – 哈薩克文" lang="kk" hreflang="kk" data-title="Биномдық үлестірілу" data-language-autonym="Қазақша" data-language-local-name="哈薩克文" class="interlanguage-link-target"><span>Қазақша</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EC%9D%B4%ED%95%AD_%EB%B6%84%ED%8F%AC" title="이항 분포 – 韓文" lang="ko" hreflang="ko" data-title="이항 분포" data-language-autonym="한국어" data-language-local-name="韓文" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Binominis_skirstinys" title="Binominis skirstinys – 立陶宛文" lang="lt" hreflang="lt" data-title="Binominis skirstinys" data-language-autonym="Lietuvių" data-language-local-name="立陶宛文" class="interlanguage-link-target"><span>Lietuvių</span></a></li><li class="interlanguage-link interwiki-lv mw-list-item"><a href="https://lv.wikipedia.org/wiki/Binomi%C4%81lais_sadal%C4%ABjums" title="Binomiālais sadalījums – 拉脫維亞文" lang="lv" hreflang="lv" data-title="Binomiālais sadalījums" data-language-autonym="Latviešu" data-language-local-name="拉脫維亞文" class="interlanguage-link-target"><span>Latviešu</span></a></li><li class="interlanguage-link interwiki-mk mw-list-item"><a href="https://mk.wikipedia.org/wiki/%D0%91%D0%B8%D0%BD%D0%BE%D0%BC%D0%BD%D0%B0_%D1%80%D0%B0%D1%81%D0%BF%D1%80%D0%B5%D0%B4%D0%B5%D0%BB%D0%B1%D0%B0" title="Биномна распределба – 馬其頓文" lang="mk" hreflang="mk" data-title="Биномна распределба" data-language-autonym="Македонски" data-language-local-name="馬其頓文" class="interlanguage-link-target"><span>Македонски</span></a></li><li class="interlanguage-link interwiki-ms mw-list-item"><a href="https://ms.wikipedia.org/wiki/Taburan_binomial" title="Taburan binomial – 馬來文" lang="ms" hreflang="ms" data-title="Taburan binomial" data-language-autonym="Bahasa Melayu" data-language-local-name="馬來文" class="interlanguage-link-target"><span>Bahasa Melayu</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Binomiale_verdeling" title="Binomiale verdeling – 荷蘭文" lang="nl" hreflang="nl" data-title="Binomiale verdeling" data-language-autonym="Nederlands" data-language-local-name="荷蘭文" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/Binomisk_fordeling" title="Binomisk fordeling – 耐諾斯克挪威文" lang="nn" hreflang="nn" data-title="Binomisk fordeling" data-language-autonym="Norsk nynorsk" data-language-local-name="耐諾斯克挪威文" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Binomisk_fordeling" title="Binomisk fordeling – 巴克摩挪威文" lang="nb" hreflang="nb" data-title="Binomisk fordeling" data-language-autonym="Norsk bokmål" data-language-local-name="巴克摩挪威文" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Rozk%C5%82ad_dwumianowy" title="Rozkład dwumianowy – 波蘭文" lang="pl" hreflang="pl" data-title="Rozkład dwumianowy" data-language-autonym="Polski" data-language-local-name="波蘭文" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Distribui%C3%A7%C3%A3o_binomial" title="Distribuição binomial – 葡萄牙文" lang="pt" hreflang="pt" data-title="Distribuição binomial" data-language-autonym="Português" data-language-local-name="葡萄牙文" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/Distribu%C8%9Bia_binomial%C4%83" title="Distribuția binomială – 羅馬尼亞文" lang="ro" hreflang="ro" data-title="Distribuția binomială" data-language-autonym="Română" data-language-local-name="羅馬尼亞文" class="interlanguage-link-target"><span>Română</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%91%D0%B8%D0%BD%D0%BE%D0%BC%D0%B8%D0%B0%D0%BB%D1%8C%D0%BD%D0%BE%D0%B5_%D1%80%D0%B0%D1%81%D0%BF%D1%80%D0%B5%D0%B4%D0%B5%D0%BB%D0%B5%D0%BD%D0%B8%D0%B5" title="Биномиальное распределение – 俄文" lang="ru" hreflang="ru" data-title="Биномиальное распределение" data-language-autonym="Русский" data-language-local-name="俄文" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Binomial_distribution" title="Binomial distribution – Simple English" lang="en-simple" hreflang="en-simple" data-title="Binomial distribution" data-language-autonym="Simple English" data-language-local-name="Simple English" class="interlanguage-link-target"><span>Simple English</span></a></li><li class="interlanguage-link interwiki-sk mw-list-item"><a href="https://sk.wikipedia.org/wiki/Binomick%C3%A9_rozdelenie" title="Binomické rozdelenie – 斯洛伐克文" lang="sk" hreflang="sk" data-title="Binomické rozdelenie" data-language-autonym="Slovenčina" data-language-local-name="斯洛伐克文" class="interlanguage-link-target"><span>Slovenčina</span></a></li><li class="interlanguage-link interwiki-sl mw-list-item"><a href="https://sl.wikipedia.org/wiki/Binomska_porazdelitev" title="Binomska porazdelitev – 斯洛維尼亞文" lang="sl" hreflang="sl" data-title="Binomska porazdelitev" data-language-autonym="Slovenščina" data-language-local-name="斯洛維尼亞文" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-sq mw-list-item"><a href="https://sq.wikipedia.org/wiki/Shp%C3%ABrndarja_binomiale" title="Shpërndarja binomiale – 阿爾巴尼亞文" lang="sq" hreflang="sq" data-title="Shpërndarja binomiale" data-language-autonym="Shqip" data-language-local-name="阿爾巴尼亞文" class="interlanguage-link-target"><span>Shqip</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/Binomna_raspodela" title="Binomna raspodela – 塞爾維亞文" lang="sr" hreflang="sr" data-title="Binomna raspodela" data-language-autonym="Српски / srpski" data-language-local-name="塞爾維亞文" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-su mw-list-item"><a href="https://su.wikipedia.org/wiki/Sebaran_binomial" title="Sebaran binomial – 巽他文" lang="su" hreflang="su" data-title="Sebaran binomial" data-language-autonym="Sunda" data-language-local-name="巽他文" class="interlanguage-link-target"><span>Sunda</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Binomialf%C3%B6rdelning" title="Binomialfördelning – 瑞典文" lang="sv" hreflang="sv" data-title="Binomialfördelning" data-language-autonym="Svenska" data-language-local-name="瑞典文" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/%E0%AE%88%E0%AE%B0%E0%AF%81%E0%AE%B1%E0%AF%81%E0%AE%AA%E0%AF%8D%E0%AE%AA%E0%AF%81%E0%AE%AA%E0%AF%8D_%E0%AE%AA%E0%AE%B0%E0%AE%B5%E0%AE%B2%E0%AF%8D" title="ஈருறுப்புப் பரவல் – 坦米爾文" lang="ta" hreflang="ta" data-title="ஈருறுப்புப் பரவல்" data-language-autonym="தமிழ்" data-language-local-name="坦米爾文" class="interlanguage-link-target"><span>தமிழ்</span></a></li><li class="interlanguage-link interwiki-th mw-list-item"><a href="https://th.wikipedia.org/wiki/%E0%B8%81%E0%B8%B2%E0%B8%A3%E0%B9%81%E0%B8%88%E0%B8%81%E0%B9%81%E0%B8%88%E0%B8%87%E0%B8%97%E0%B8%A7%E0%B8%B4%E0%B8%99%E0%B8%B2%E0%B8%A1" title="การแจกแจงทวินาม – 泰文" lang="th" hreflang="th" data-title="การแจกแจงทวินาม" data-language-autonym="ไทย" data-language-local-name="泰文" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-tl mw-list-item"><a href="https://tl.wikipedia.org/wiki/Distribusyong_binomial" title="Distribusyong binomial – 塔加路族文" lang="tl" hreflang="tl" data-title="Distribusyong binomial" data-language-autonym="Tagalog" data-language-local-name="塔加路族文" class="interlanguage-link-target"><span>Tagalog</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/Binom_da%C4%9F%C4%B1l%C4%B1m%C4%B1" title="Binom dağılımı – 土耳其文" lang="tr" hreflang="tr" data-title="Binom dağılımı" data-language-autonym="Türkçe" data-language-local-name="土耳其文" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%91%D1%96%D0%BD%D0%BE%D0%BC%D1%96%D0%B0%D0%BB%D1%8C%D0%BD%D0%B8%D0%B9_%D1%80%D0%BE%D0%B7%D0%BF%D0%BE%D0%B4%D1%96%D0%BB" title="Біноміальний розподіл – 烏克蘭文" lang="uk" hreflang="uk" data-title="Біноміальний розподіл" data-language-autonym="Українська" data-language-local-name="烏克蘭文" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-ur mw-list-item"><a href="https://ur.wikipedia.org/wiki/%D8%AF%D9%88_%D8%B1%D9%82%D9%85%DB%8C_%D8%AA%D9%88%D8%B2%DB%8C%D8%B9" title="دو رقمی توزیع – 烏都文" lang="ur" hreflang="ur" data-title="دو رقمی توزیع" data-language-autonym="اردو" data-language-local-name="烏都文" class="interlanguage-link-target"><span>اردو</span></a></li><li class="interlanguage-link interwiki-uz mw-list-item"><a href="https://uz.wikipedia.org/wiki/Binomial_taqsimot" title="Binomial taqsimot – 烏茲別克文" lang="uz" hreflang="uz" data-title="Binomial taqsimot" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="烏茲別克文" class="interlanguage-link-target"><span>Oʻzbekcha / ўзбекча</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/Ph%C3%A2n_ph%E1%BB%91i_nh%E1%BB%8B_th%E1%BB%A9c" title="Phân phối nhị thức – 越南文" lang="vi" hreflang="vi" data-title="Phân phối nhị thức" data-language-autonym="Tiếng Việt" data-language-local-name="越南文" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E4%BA%8C%E9%A0%85%E5%BC%8F%E5%88%86%E5%B8%83" title="二項式分布 – 中文" lang="zh" hreflang="zh" data-title="二項式分布" data-language-autonym="中文" data-language-local-name="中文" class="interlanguage-link-target"><span>中文</span></a></li> </ul> <div class="after-portlet after-portlet-lang"><span class="wb-langlinks-edit wb-langlinks-link"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q185547#sitelinks-wikipedia" title="改跨語言拎" class="wbc-editpage">改拎</a></span></div> </div> </div> </div> </header> <div class="vector-page-toolbar"> <div class="vector-page-toolbar-container"> <div id="left-navigation"> <nav aria-label="空間名"> <div id="p-associated-pages" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-associated-pages" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-nstab-main" class="selected vector-tab-noicon mw-list-item"><a href="/wiki/%E4%BA%8C%E9%A0%85%E5%88%86%E4%BD%88" title="睇吓內容頁[c]" accesskey="c"><span>文章</span></a></li><li id="ca-talk" class="new vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Talk:%E4%BA%8C%E9%A0%85%E5%88%86%E4%BD%88&action=edit&redlink=1" rel="discussion" class="new" title="關於內容頁嘅討論 (無呢版)[t]" accesskey="t"><span>討論</span></a></li> </ul> </div> </div> <div id="vector-variants-dropdown" class="vector-dropdown emptyPortlet" > <input type="checkbox" id="vector-variants-dropdown-checkbox" role="button" aria-haspopup="true" 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href="/wiki/%E4%BA%8C%E9%A0%85%E5%88%86%E4%BD%88"><span>閱</span></a></li><li id="ca-edit" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=%E4%BA%8C%E9%A0%85%E5%88%86%E4%BD%88&action=edit" title="改呢版嘅代碼[e]" accesskey="e"><span>改</span></a></li><li id="ca-history" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=%E4%BA%8C%E9%A0%85%E5%88%86%E4%BD%88&action=history" title="呢一頁之前嘅修訂[h]" accesskey="h"><span>睇返紀錄</span></a></li> </ul> </div> </div> </nav> <nav class="vector-page-tools-landmark" aria-label="頁面工具"> <div id="vector-page-tools-dropdown" class="vector-dropdown vector-page-tools-dropdown" > <input type="checkbox" id="vector-page-tools-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-tools-dropdown" class="vector-dropdown-checkbox " aria-label="架撐" > <label id="vector-page-tools-dropdown-label" for="vector-page-tools-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet" aria-hidden="true" ><span class="vector-dropdown-label-text">架撐</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-tools-unpinned-container" class="vector-unpinned-container"> <div id="vector-page-tools" class="vector-page-tools vector-pinnable-element"> <div class="vector-pinnable-header vector-page-tools-pinnable-header vector-pinnable-header-unpinned" data-feature-name="page-tools-pinned" data-pinnable-element-id="vector-page-tools" data-pinned-container-id="vector-page-tools-pinned-container" data-unpinned-container-id="vector-page-tools-unpinned-container" > <div class="vector-pinnable-header-label">架撐</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-page-tools.pin">移去側欄</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-page-tools.unpin">收埋</button> </div> <div id="p-cactions" class="vector-menu mw-portlet mw-portlet-cactions emptyPortlet vector-has-collapsible-items" title="多啲選項" > <div class="vector-menu-heading"> 動作 </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-more-view" class="selected vector-more-collapsible-item mw-list-item"><a href="/wiki/%E4%BA%8C%E9%A0%85%E5%88%86%E4%BD%88"><span>閱</span></a></li><li id="ca-more-edit" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=%E4%BA%8C%E9%A0%85%E5%88%86%E4%BD%88&action=edit" title="改呢版嘅代碼[e]" accesskey="e"><span>改</span></a></li><li id="ca-more-history" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=%E4%BA%8C%E9%A0%85%E5%88%86%E4%BD%88&action=history"><span>睇返紀錄</span></a></li> </ul> </div> </div> <div id="p-tb" class="vector-menu mw-portlet mw-portlet-tb" > <div class="vector-menu-heading"> 基本 </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="t-whatlinkshere" class="mw-list-item"><a href="/wiki/Special:%E9%82%8A%E5%BA%A6%E9%8F%88%E5%8E%BB%E5%91%A2%E7%89%88/%E4%BA%8C%E9%A0%85%E5%88%86%E4%BD%88" title="列出所有連接過嚟呢度嘅頁面[j]" accesskey="j"><span>有乜連過嚟</span></a></li><li id="t-recentchangeslinked" class="mw-list-item"><a href="/wiki/Special:%E5%A4%96%E9%8F%88%E4%BF%AE%E6%94%B9/%E4%BA%8C%E9%A0%85%E5%88%86%E4%BD%88" rel="nofollow" title="由呢版連出去嘅版嘅最近修改[k]" accesskey="k"><span>連結頁嘅更改</span></a></li><li id="t-upload" class="mw-list-item"><a href="/wiki/Project:%E4%B8%8A%E8%BC%89" title="上載檔案[u]" accesskey="u"><span>上載檔案</span></a></li><li id="t-specialpages" class="mw-list-item"><a href="/wiki/Special:%E5%B0%88%E9%96%80%E7%89%88" title="所有專門版一覽[q]" accesskey="q"><span>專門版</span></a></li><li id="t-permalink" class="mw-list-item"><a href="/w/index.php?title=%E4%BA%8C%E9%A0%85%E5%88%86%E4%BD%88&oldid=1603583" title="呢版呢個修訂嘅永久網址"><span>固定連結</span></a></li><li id="t-info" class="mw-list-item"><a href="/w/index.php?title=%E4%BA%8C%E9%A0%85%E5%88%86%E4%BD%88&action=info" title="多啲同呢版有拏褦嘅資料"><span>此版明細</span></a></li><li id="t-cite" class="mw-list-item"><a href="/w/index.php?title=Special:%E5%BC%95%E7%94%A8&page=%E4%BA%8C%E9%A0%85%E5%88%86%E4%BD%88&id=1603583&wpFormIdentifier=titleform" title="點樣引用呢頁嘅資訊"><span>引用呢篇文</span></a></li><li id="t-urlshortener" class="mw-list-item"><a href="/w/index.php?title=Special:UrlShortener&url=https%3A%2F%2Fzh-yue.wikipedia.org%2Fwiki%2F%25E4%25BA%258C%25E9%25A0%2585%25E5%2588%2586%25E4%25BD%2588"><span>攞短網址</span></a></li><li id="t-urlshortener-qrcode" class="mw-list-item"><a href="/w/index.php?title=Special:QrCode&url=https%3A%2F%2Fzh-yue.wikipedia.org%2Fwiki%2F%25E4%25BA%258C%25E9%25A0%2585%25E5%2588%2586%25E4%25BD%2588"><span>下載QR code</span></a></li> </ul> </div> </div> <div id="p-electronpdfservice-sidebar-portlet-heading" class="vector-menu mw-portlet mw-portlet-electronpdfservice-sidebar-portlet-heading" > <div class="vector-menu-heading"> 打印/匯出 </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="electron-print_pdf" class="mw-list-item"><a href="/w/index.php?title=Special:DownloadAsPdf&page=%E4%BA%8C%E9%A0%85%E5%88%86%E4%BD%88&action=show-download-screen"><span>下載PDF</span></a></li><li id="t-print" class="mw-list-item"><a href="javascript:print();" rel="alternate" title="呢一版印得嘅版本[p]" accesskey="p"><span>印得嘅版本</span></a></li> </ul> </div> </div> <div id="p-wikibase-otherprojects" class="vector-menu mw-portlet mw-portlet-wikibase-otherprojects" > <div class="vector-menu-heading"> 第啲維基項目 </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="wb-otherproject-link wb-otherproject-commons mw-list-item"><a href="https://commons.wikimedia.org/wiki/Category:Binomial_distributions" hreflang="en"><span>維基同享</span></a></li><li id="t-wikibase" class="wb-otherproject-link wb-otherproject-wikibase-dataitem mw-list-item"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q185547" title="連到接住資料儲存庫嘅項目[g]" accesskey="g"><span>維基數據項</span></a></li> </ul> </div> </div> </div> </div> </div> </div> </nav> </div> </div> </div> <div class="vector-column-end"> <div class="vector-sticky-pinned-container"> <nav class="vector-page-tools-landmark" aria-label="頁面工具"> <div id="vector-page-tools-pinned-container" class="vector-pinned-container"> </div> </nav> <nav class="vector-appearance-landmark" aria-label="閱讀設定"> <div id="vector-appearance-pinned-container" class="vector-pinned-container"> <div id="vector-appearance" class="vector-appearance vector-pinnable-element"> <div class="vector-pinnable-header vector-appearance-pinnable-header vector-pinnable-header-pinned" data-feature-name="appearance-pinned" data-pinnable-element-id="vector-appearance" data-pinned-container-id="vector-appearance-pinned-container" data-unpinned-container-id="vector-appearance-unpinned-container" > <div class="vector-pinnable-header-label">閱讀設定</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-appearance.pin">移去側欄</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-appearance.unpin">收埋</button> </div> </div> </div> </nav> </div> </div> <div id="bodyContent" class="vector-body" aria-labelledby="firstHeading" data-mw-ve-target-container> <div class="vector-body-before-content"> <div class="mw-indicators"> </div> <div id="siteSub" class="noprint">出自維基百科，自由嘅百科全書</div> </div> <div id="contentSub"><div id="mw-content-subtitle"></div></div> <div id="mw-content-text" class="mw-body-content"><div class="mw-content-ltr mw-parser-output" lang="yue" dir="ltr"><p><b>二項分佈</b>（<b>binomial distribution</b>）係一個描述 <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle n}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>n</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle n}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a601995d55609f2d9f5e233e36fbe9ea26011b3b" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.395ex; height:1.676ex;" alt="{\displaystyle n}"></span> 次結果二元嘅試驗嘅<a href="/wiki/%E6%A6%82%E7%8E%87%E5%88%86%E4%BD%88" title="概率分佈">概率分佈</a>；想像有個結果係二元－得兩個可能結果－嘅試驗，例如<a href="/wiki/%E6%8E%9F%E9%8A%80%E4%BB%94" title="掟銀仔">掟銀仔</a>，做 <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle n}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>n</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle n}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a601995d55609f2d9f5e233e36fbe9ea26011b3b" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.395ex; height:1.676ex;" alt="{\displaystyle n}"></span> 咁多次，每次試驗嘅結果都有 <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle p}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>p</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle p}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/81eac1e205430d1f40810df36a0edffdc367af36" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; margin-left: -0.089ex; width:1.259ex; height:2.009ex;" alt="{\displaystyle p}"></span> 咁多機會率成功(1)， <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle q=(1-p)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>q</mi> <mo>=</mo> <mo stretchy="false">(</mo> <mn>1</mn> <mo>−</mo> <mi>p</mi> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle q=(1-p)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/402ed36ceea0cb5e046be9c353afa8d4944c46c5" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:11.15ex; height:2.843ex;" alt="{\displaystyle q=(1-p)}"></span> 咁多機會率失敗(0)，而每次試驗嘅結果都係<a href="/wiki/%E7%8D%A8%E7%AB%8B_(%E6%A6%82%E7%8E%87%E8%AB%96)" title="獨立 (概率論)">獨立</a>嘅（一次試驗嘅結果唔受其他試驗嘅結果影響）。如果要計算喺n次試驗入面，有k次成功嘅機會率，<a href="/wiki/%E6%A6%82%E7%8E%87%E8%B3%AA%E9%87%8F%E5%87%BD%E6%95%B8" title="概率質量函數">概率質量函數</a>係： </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle f(k,n,p)=\Pr(k;n,p)=\Pr(X=k)={\binom {n}{k}}p^{k}(1-p)^{n-k}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>f</mi> <mo stretchy="false">(</mo> <mi>k</mi> <mo>,</mo> <mi>n</mi> <mo>,</mo> <mi>p</mi> <mo stretchy="false">)</mo> <mo>=</mo> <mo movablelimits="true" form="prefix">Pr</mo> <mo stretchy="false">(</mo> <mi>k</mi> <mo>;</mo> <mi>n</mi> <mo>,</mo> <mi>p</mi> <mo stretchy="false">)</mo> <mo>=</mo> <mo movablelimits="true" form="prefix">Pr</mo> <mo stretchy="false">(</mo> <mi>X</mi> <mo>=</mo> <mi>k</mi> <mo stretchy="false">)</mo> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mrow> <mrow class="MJX-TeXAtom-OPEN"> <mo maxsize="2.047em" minsize="2.047em">(</mo> </mrow> <mfrac linethickness="0"> <mi>n</mi> <mi>k</mi> </mfrac> <mrow class="MJX-TeXAtom-CLOSE"> <mo maxsize="2.047em" minsize="2.047em">)</mo> </mrow> </mrow> </mrow> <msup> <mi>p</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>k</mi> </mrow> </msup> <mo stretchy="false">(</mo> <mn>1</mn> <mo>−</mo> <mi>p</mi> <msup> <mo stretchy="false">)</mo> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> <mo>−</mo> <mi>k</mi> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle f(k,n,p)=\Pr(k;n,p)=\Pr(X=k)={\binom {n}{k}}p^{k}(1-p)^{n-k}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b872c2c7bfaa26b16e8a82beaf72061b48daaf8e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.505ex; width:56.376ex; height:6.176ex;" alt="{\displaystyle f(k,n,p)=\Pr(k;n,p)=\Pr(X=k)={\binom {n}{k}}p^{k}(1-p)^{n-k}}"></span></dd></dl> <div class="mw-heading mw-heading2"><h2 id="性質"><span id=".E6.80.A7.E8.B3.AA"></span>性質</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E4%BA%8C%E9%A0%85%E5%88%86%E4%BD%88&action=edit&section=1" title="編輯小節: 性質"><span>編輯</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li>驗算機會率加埋係咪等於1：條式嘅<a href="/wiki/%E8%87%AA%E8%AE%8A%E6%95%B8" class="mw-redirect" title="自變數">自變數</a>係k=0,1,2,...,n 所有情況夾埋即係 <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \sum _{k=0}^{n}{\binom {n}{k}}p^{k}(1-p)^{n-k}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <munderover> <mo>∑</mo> <mrow class="MJX-TeXAtom-ORD"> <mi>k</mi> <mo>=</mo> <mn>0</mn> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> </mrow> </munderover> <mrow class="MJX-TeXAtom-ORD"> <mrow> <mrow class="MJX-TeXAtom-OPEN"> <mo maxsize="2.047em" minsize="2.047em">(</mo> </mrow> <mfrac linethickness="0"> <mi>n</mi> <mi>k</mi> </mfrac> <mrow class="MJX-TeXAtom-CLOSE"> <mo maxsize="2.047em" minsize="2.047em">)</mo> </mrow> </mrow> </mrow> <msup> <mi>p</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>k</mi> </mrow> </msup> <mo stretchy="false">(</mo> <mn>1</mn> <mo>−</mo> <mi>p</mi> <msup> <mo stretchy="false">)</mo> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> <mo>−</mo> <mi>k</mi> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \sum _{k=0}^{n}{\binom {n}{k}}p^{k}(1-p)^{n-k}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/aaf84ab37c5573031beded3bbc2bf83637adf5d7" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -3.171ex; width:21.151ex; height:7.009ex;" alt="{\displaystyle \sum _{k=0}^{n}{\binom {n}{k}}p^{k}(1-p)^{n-k}}"></span>，根據<a href="/wiki/%E4%BA%8C%E9%A0%85%E5%BC%8F%E5%AE%9A%E7%90%86" title="二項式定理">二項式定理</a></li></ul> <p>佢等於<span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle ((1-p)+p)^{n}=1^{n}=1}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo stretchy="false">(</mo> <mo stretchy="false">(</mo> <mn>1</mn> <mo>−</mo> <mi>p</mi> <mo stretchy="false">)</mo> <mo>+</mo> <mi>p</mi> <msup> <mo stretchy="false">)</mo> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> </mrow> </msup> <mo>=</mo> <msup> <mn>1</mn> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> </mrow> </msup> <mo>=</mo> <mn>1</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle ((1-p)+p)^{n}=1^{n}=1}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/57f30433c71958f060304c4737d42f31b41b7299" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:23.759ex; height:2.843ex;" alt="{\displaystyle ((1-p)+p)^{n}=1^{n}=1}"></span>。 </p> <ul><li><b>二項分佈</b>嘅<a href="/wiki/%E6%9C%9F%E6%9C%9B%E5%80%BC" title="期望值">期望值</a>係 <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle np}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>n</mi> <mi>p</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle np}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3d6eb41e0e5e136f594b1a703d2f371d9a5e0c27" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.564ex; height:2.009ex;" alt="{\displaystyle np}"></span> 。</li> <li><b>二項分佈</b>嘅<a href="/wiki/%E6%A8%99%E6%BA%96%E5%B7%AE" title="標準差">標準差</a>係 <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\sqrt {npq}}={\sqrt {np(1-p)}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mi>n</mi> <mi>p</mi> <mi>q</mi> </msqrt> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mi>n</mi> <mi>p</mi> <mo stretchy="false">(</mo> <mn>1</mn> <mo>−</mo> <mi>p</mi> <mo stretchy="false">)</mo> </msqrt> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\sqrt {npq}}={\sqrt {np(1-p)}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/233fd60364f580df87a1323481939fe3c9d043ff" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:20.537ex; height:4.843ex;" alt="{\displaystyle {\sqrt {npq}}={\sqrt {np(1-p)}}}"></span> 。</li></ul> <div class="mw-heading mw-heading2"><h2 id="睇埋"><span id=".E7.9D.87.E5.9F.8B"></span>睇埋</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E4%BA%8C%E9%A0%85%E5%88%86%E4%BD%88&action=edit&section=2" title="編輯小節: 睇埋"><span>編輯</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/%E4%BA%8C%E9%A0%85%E5%BC%8F%E5%AE%9A%E7%90%86" title="二項式定理">二項式定理</a></li> <li><a href="/wiki/%E5%B9%BE%E4%BD%95%E5%88%86%E4%BD%88" title="幾何分佈">幾何分佈</a></li> <li><a href="/wiki/%E6%B3%8A%E6%B7%9E%E5%88%86%E4%BD%88" title="泊淞分佈">泊淞分佈</a></li> <li><a href="/wiki/%E5%B8%B8%E6%85%8B%E5%88%86%E4%BD%88" title="常態分佈">常態分佈</a></li></ul> <div role="navigation" class="navbox" aria-labelledby="概率論" style="padding:3px"><table class="nowraplinks mw-collapsible autocollapse navbox-inner" style="border-spacing:0;background:transparent;color:inherit"><tbody><tr><th scope="col" class="navbox-title" colspan="3"><div class="plainlinks hlist navbar mini"><ul><li class="nv-view"><a href="/wiki/Template:%E6%A6%82%E7%8E%87%E8%AB%96" title="Template:概率論"><abbr title="去睇呢個模" style=";;background:none transparent;border:none;-moz-box-shadow:none;-webkit-box-shadow:none;box-shadow:none; padding:0;">睇</abbr></a></li><li class="nv-talk"><a href="/w/index.php?title=Template_talk:%E6%A6%82%E7%8E%87%E8%AB%96&action=edit&redlink=1" class="new" title="Template talk:概率論 (無呢版)"><abbr title="傾呢個模" 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style="padding:0em 0.25em"></div><table class="nowraplinks navbox-subgroup" style="border-spacing:0"><tbody><tr><th scope="row" class="navbox-group" style="width:1%;padding-left:0em;padding-right:0em;"><div style="padding:0em 0.75em;"><a href="/wiki/%E6%A6%82%E7%8E%87" title="概率">概率</a></div></th><td class="navbox-list navbox-odd" style="text-align:left;border-left-width:2px;border-left-style:solid;width:100%;padding:0px"><div style="padding:0em 0.25em"><a href="/wiki/%E5%AF%A6%E9%A9%97_(%E6%A6%82%E7%8E%87%E8%AB%96)" title="實驗 (概率論)">實驗</a>（<a href="/wiki/%E4%BC%AF%E5%8A%AA%E5%88%A9%E8%A9%A6%E9%A9%97" title="伯努利試驗">伯努利</a><span style="white-space:nowrap; font-weight:bold;"> ·</span> <a href="/wiki/%E6%93%B2%E9%AA%B0%E4%BB%94" class="mw-redirect" title="擲骰仔">擲骰仔</a>同<a href="/wiki/%E6%8E%9F%E9%8A%80%E4%BB%94" title="掟銀仔">掟銀仔</a>）<span style="white-space:nowrap; font-weight:bold;"> ·</span> <a href="/wiki/%E5%8F%AF%E8%83%BD%E7%B5%90%E6%9E%9C" title="可能結果">可能結果</a><span style="white-space:nowrap; font-weight:bold;"> ·</span> <a href="/wiki/%E6%A8%A3%E6%9C%AC%E7%A9%BA%E9%96%93" title="樣本空間">樣本</a>同<a href="/wiki/%E6%A6%82%E7%8E%87%E7%A9%BA%E9%96%93" title="概率空間">概率</a>空間<span style="white-space:nowrap; font-weight:bold;"> ·</span> <a href="/wiki/%E5%AF%A6%E9%9A%9B%E6%95%B8%E5%80%BC" title="實際數值">實際數值</a></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%;padding-left:0em;padding-right:0em;"><div style="padding:0em 0.75em;">概念</div></th><td class="navbox-list navbox-even" style="text-align:left;border-left-width:2px;border-left-style:solid;width:100%;padding:0px"><div style="padding:0em 0.25em"><a href="/wiki/%E4%B8%8D%E7%A2%BA%E5%AE%9A" title="不確定">不確定</a>同<a href="/wiki/%E9%9A%A8%E6%A9%9F" title="隨機">隨機</a><span style="white-space:nowrap; font-weight:bold;"> ·</span> <a href="/wiki/%E8%B3%87%E8%A8%8A" title="資訊">資訊</a>（<a href="/wiki/%E5%AE%8C%E5%85%A8%E8%B3%87%E8%A8%8A" title="完全資訊">完全資訊</a>）<span style="white-space:nowrap; font-weight:bold;"> ·</span> <a href="/wiki/%E6%B1%BA%E5%AE%9A%E5%9E%8B%E7%B3%BB%E7%B5%B1" title="決定型系統">決定型系統</a><span style="white-space:nowrap; font-weight:bold;"> ·</span> <a href="/wiki/%E6%A6%82%E7%8E%87%E5%85%AC%E7%90%86" title="概率公理">概率公理</a><span style="white-space:nowrap; font-weight:bold;"> ·</span> <a href="/wiki/%E6%BA%AB%E6%B0%8F%E5%9C%96" title="溫氏圖">Venn 圖</a></div></td></tr></tbody></table><div></div></td><td class="navbox-image" rowspan="8" style="width:1px;padding:0px 0px 0px 2px"><div><span typeof="mw:File"><a href="/wiki/File:Noto_Emoji_Pie_1f3b2.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/9/91/Noto_Emoji_Pie_1f3b2.svg/150px-Noto_Emoji_Pie_1f3b2.svg.png" decoding="async" width="150" height="150" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/9/91/Noto_Emoji_Pie_1f3b2.svg/225px-Noto_Emoji_Pie_1f3b2.svg.png 1.5x, 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href="/wiki/%E9%9D%9E%E4%BA%92%E6%96%A5" class="mw-redirect" title="非互斥">非互斥</a><span style="white-space:nowrap; font-weight:bold;"> ·</span> <a href="/wiki/%E6%A2%9D%E4%BB%B6%E6%A6%82%E7%8E%87" title="條件概率">條件概率</a><span style="white-space:nowrap; font-weight:bold;"> ·</span> <a href="/wiki/%E7%8D%A8%E7%AB%8B_(%E6%A6%82%E7%8E%87%E8%AB%96)" title="獨立 (概率論)">獨立</a><span style="white-space:nowrap; font-weight:bold;"> ·</span> <a href="/wiki/%E6%A2%9D%E4%BB%B6%E7%8D%A8%E7%AB%8B" title="條件獨立">條件獨立</a></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/%E9%9A%A8%E6%A9%9F%E9%81%8E%E7%A8%8B" title="隨機過程">隨機過程</a></th><td class="navbox-list navbox-even hlist" style="text-align:left;border-left-width:2px;border-left-style:solid;width:100%;padding:0px"><div style="padding:0em 0.25em"><a href="/wiki/%E9%9A%A8%E6%A9%9F%E8%AE%8A%E6%95%B8" title="隨機變數">隨機變數</a>（<a href="/wiki/%E6%9C%9F%E6%9C%9B%E5%80%BC" title="期望值">期望值</a><span style="white-space:nowrap; font-weight:bold;"> ·</span> <a href="/wiki/%E9%9A%A8%E6%A9%9F%E8%AE%8A%E6%95%B8%E5%8C%AF%E5%90%88" title="隨機變數匯合">匯合</a>）<span style="white-space:nowrap; font-weight:bold;"> ·</span> <a href="/wiki/%E9%9A%A8%E6%A9%9F%E6%BC%AB%E6%AD%A5" title="隨機漫步">隨機漫步</a><span style="white-space:nowrap; font-weight:bold;"> ·</span> <a href="/wiki/%E9%A6%AC%E5%8F%AF%E5%A4%AB%E9%8F%88" title="馬可夫鏈">馬可夫鏈</a><span style="white-space:nowrap; font-weight:bold;"> ·</span> <a href="/wiki/%E9%A6%AC%E5%8F%AF%E5%A4%AB%E6%B1%BA%E7%AD%96%E9%81%8E%E7%A8%8B" title="馬可夫決策過程">馬可夫決策過程</a><span style="white-space:nowrap; font-weight:bold;"> ·</span> <a href="/wiki/%E5%B9%B3%E7%A9%A9%E9%81%8E%E7%A8%8B" title="平穩過程">平穩過程</a></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/%E6%A6%82%E7%8E%87%E5%88%86%E4%BD%88" title="概率分佈">概率分佈</a></th><td class="navbox-list navbox-odd hlist" style="text-align:left;border-left-width:2px;border-left-style:solid;width:100%;padding:0px"><div style="padding:0em 0.25em"><a href="/wiki/%E9%9B%A2%E6%95%A3%E6%A6%82%E7%8E%87%E5%88%86%E4%BD%88" class="mw-redirect" title="離散概率分佈">離散</a>定<a href="/wiki/%E9%80%A3%E7%BA%8C%E6%A6%82%E7%8E%87%E5%88%86%E4%BD%88" class="mw-redirect" title="連續概率分佈">連續</a><span style="white-space:nowrap; font-weight:bold;"> ·</span> <a href="/wiki/%E4%BC%AF%E5%8A%AA%E5%88%A9%E5%88%86%E4%BD%88" title="伯努利分佈">伯努利</a>同<a class="mw-selflink selflink">二項</a>分佈<span style="white-space:nowrap; font-weight:bold;"> ·</span> <a href="/wiki/%E5%B8%B8%E6%85%8B%E5%88%86%E4%BD%88" title="常態分佈">常態分佈</a><span style="white-space:nowrap; font-weight:bold;"> ·</span> <a href="/wiki/%E8%81%AF%E5%90%88%E6%A6%82%E7%8E%87%E5%88%86%E4%BD%88" title="聯合概率分佈">聯合概率分佈</a><span style="white-space:nowrap; font-weight:bold;"> ·</span> <a href="/wiki/%E6%A6%82%E7%8E%87%E5%88%86%E4%BD%88%E4%B8%80%E8%A6%BD" title="概率分佈一覽">概率分佈一覽</a></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">重要定律</th><td class="navbox-list navbox-even hlist" style="text-align:left;border-left-width:2px;border-left-style:solid;width:100%;padding:0px"><div style="padding:0em 0.25em"><a href="/wiki/%E6%A6%82%E7%8E%87%E9%80%A3%E9%8E%96%E6%B3%95%E5%89%87" title="概率連鎖法則">概率連鎖法則</a><span style="white-space:nowrap; font-weight:bold;"> ·</span> <a href="/wiki/%E8%B2%9D%E8%91%89%E6%96%AF%E5%AE%9A%E7%90%86" title="貝葉斯定理">貝葉斯定理</a><span style="white-space:nowrap; font-weight:bold;"> ·</span> <a href="/wiki/%E5%A4%A7%E6%95%B8%E5%AE%9A%E5%BE%8B" title="大數定律">大數定律</a><span style="white-space:nowrap; font-weight:bold;"> ·</span> <a href="/wiki/%E4%B8%AD%E5%A4%AE%E6%A5%B5%E9%99%90%E5%AE%9A%E7%90%86" title="中央極限定理">中央極限定理</a><span style="white-space:nowrap; font-weight:bold;"> ·</span> <a href="/wiki/%E5%B8%83%E6%B0%8F%E4%B8%8D%E7%AD%89%E5%BC%8F" title="布氏不等式">布氏不等式</a></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/%E6%A6%82%E7%8E%87%E5%98%85%E8%A9%AE%E9%87%8B" title="概率嘅詮釋">詮釋</a></th><td class="navbox-list navbox-odd hlist" style="text-align:left;border-left-width:2px;border-left-style:solid;width:100%;padding:0px"><div style="padding:0em 0.25em"><a href="/wiki/%E5%8F%A4%E5%85%B8%E6%A6%82%E7%8E%87%E5%AE%9A%E7%BE%A9" title="古典概率定義">古典概率定義</a><span style="white-space:nowrap; font-weight:bold;"> ·</span> <a href="/wiki/%E9%A0%BB%E7%8E%87%E5%AD%B8%E6%B4%BE%E6%A6%82%E7%8E%87" title="頻率學派概率">頻率學派概率</a><span style="white-space:nowrap; font-weight:bold;"> ·</span> <a href="/wiki/%E8%B2%9D%E8%91%89%E6%96%AF%E6%A6%82%E7%8E%87" title="貝葉斯概率">貝葉斯概率</a><span style="white-space:nowrap; font-weight:bold;"> ·</span> <a href="/wiki/%E6%B1%BA%E5%AE%9A%E8%AB%96" title="決定論">決定論</a></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">應用</th><td class="navbox-list navbox-even hlist" style="text-align:left;border-left-width:2px;border-left-style:solid;width:100%;padding:0px"><div style="padding:0em 0.25em"><a href="/wiki/%E8%B3%87%E8%A8%8A%E7%90%86%E8%AB%96" title="資訊理論">資訊理論</a><span style="white-space:nowrap; font-weight:bold;"> ·</span> <a href="/wiki/%E5%AF%86%E7%A2%BC%E5%AD%B8" title="密碼學">密碼學</a><span style="white-space:nowrap; font-weight:bold;"> ·</span> <a href="/wiki/%E7%B5%B1%E8%A8%88%E5%AD%B8" title="統計學">統計學</a><span style="white-space:nowrap; font-weight:bold;"> ·</span> <a href="/wiki/%E7%89%A9%E7%90%86%E5%AD%B8" title="物理學">物理學</a>（<a href="/wiki/%E9%87%8F%E5%AD%90%E5%8A%9B%E5%AD%B8" title="量子力學">量子力學</a><span style="white-space:nowrap; font-weight:bold;"> ·</span> <a href="/wiki/%E7%B5%B1%E8%A8%88%E5%8A%9B%E5%AD%B8" title="統計力學">統計力學</a>）<span style="white-space:nowrap; font-weight:bold;"> ·</span> <a href="/wiki/%E6%A9%9F%E6%A2%B0%E5%AD%B8%E7%BF%92" title="機械學習">機械學習</a><span style="white-space:nowrap; font-weight:bold;"> ·</span> <a href="/wiki/%E9%81%8A%E6%88%B2%E8%A8%AD%E8%A8%88" title="遊戲設計">遊戲設計</a></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">拉雜相關</th><td class="navbox-list navbox-odd hlist" style="text-align:left;border-left-width:2px;border-left-style:solid;width:100%;padding:0px"><div style="padding:0em 0.25em"><a href="/wiki/%E5%BF%AB%E6%80%9D%E9%82%8F%E8%BC%AF" title="快思邏輯">快思邏輯</a><span style="white-space:nowrap; font-weight:bold;"> ·</span> <a href="/wiki/%E6%A9%9F%E7%8E%87%E9%81%8A%E6%88%B2" title="機率遊戲">機率遊戲</a>同<a href="/wiki/%E8%B3%AD" title="賭">賭錢</a><span style="white-space:nowrap; font-weight:bold;"> ·</span> <a href="/wiki/%E9%9A%A8%E6%A9%9F%E6%95%B8%E7%94%9F%E6%88%90" title="隨機數生成">RNG</a> 同<a href="/wiki/%E6%93%AC%E4%BA%82%E6%95%B8%E7%94%A2%E7%94%9F" title="擬亂數產生">擬亂數產生</a><span style="white-space:nowrap; font-weight:bold;"> ·</span> <a href="/wiki/%E4%BC%8A%E8%97%A4%E5%BC%95%E7%90%86" title="伊藤引理">伊藤引理</a><span style="white-space:nowrap; font-weight:bold;"> ·</span> <a href="/wiki/%E9%9A%A8%E6%A9%9F%E5%BE%AE%E7%A9%8D%E5%88%86" title="隨機微積分">隨機微積分</a></div></td></tr><tr><td class="navbox-abovebelow" colspan="3"><div><a 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