binomial distribution (Q185547)

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probability distribution

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Language	Label	Description	Also known as
English	binomial distribution	probability distribution

Statements

instance of

mathematical concept

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subclass of

Poisson binomial distribution

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Panjer distribution

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multinomial distribution

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univariate probability distribution

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discrete probability distribution

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image

Binomial distribution PDF.svg
397 × 411; 245 KB

1 reference

imported from Wikimedia project

Wikimedia Commons

defining formula

${\displaystyle P(X=x)={\binom {n}{x}}p^{x}(1-p)^{n-x}}$

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in defining formula

${\displaystyle P(X=x)}$

symbol represents

probability mass function

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${\displaystyle X}$

symbol represents

discrete random variable

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${\displaystyle {\binom {n}{x}}}$

symbol represents

binomial coefficient

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described by source

ISO 3534-1:2006(en) Statistics — Vocabulary and symbols — Part 1: General statistical terms and terms used in probability

section, verse, paragraph, or clause

2.46

subject named as

binomial distribution

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on focus list of Wikimedia project

Wikipedia:Vital articles/Level/4

point in time

31 October 2022

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maintained by WikiProject

WikiProject Mathematics

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support of a function

${\displaystyle x\in \{0,1,2,\ldots ,n\}}$

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probability mass function

${\displaystyle {\frac {n!}{x!(n-x)!}}p^{x}(1-p)^{n-x}}$

1 reference

stated in

ISO 3534-1:2006(en) Statistics — Vocabulary and symbols — Part 1: General statistical terms and terms used in probability

section, verse, paragraph, or clause

2.46

${\displaystyle {\binom {n}{x}}p^{x}(1-p)^{n-x}}$

1 reference

MathWorld ID

BinomialDistribution

characteristic function

${\displaystyle \left(p\mathrm {e} ^{\mathrm {i} t}+1-p\right)^{n}}$

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mean of a probability distribution

${\displaystyle np}$

1 reference

stated in

ISO 3534-1:2006(en) Statistics — Vocabulary and symbols — Part 1: General statistical terms and terms used in probability

section, verse, paragraph, or clause

2.46

variance of a probability distribution

${\displaystyle np(1-p)}$

1 reference

stated in

ISO 3534-1:2006(en) Statistics — Vocabulary and symbols — Part 1: General statistical terms and terms used in probability

section, verse, paragraph, or clause

2.46

skewness

${\displaystyle {\frac {1-2p}{\sqrt {np(1-p)}}}}$

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excess kurtosis

${\displaystyle {\frac {1-6p(1-p)}{np(1-p)}}}$

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moment-generating function

${\displaystyle \left(p\left(\mathrm {e} ^{t}-1\right)+1\right)^{n}}$

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Commons category

Binomial distributions

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Identifiers

GND ID

4145587-3

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J9U ID

987007282570105171

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Library of Congress authority ID

sh85014113

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National Library of Latvia ID

000327257

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NL CR AUT ID

ph249419

subject named as

binomické rozložení

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MeSH descriptor ID

D016010

subject named as

Binomial Distribution

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MeSH tree code

E05.318.740.994.250

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G17.820.250

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N05.715.360.750.750.150

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N06.850.520.830.994.250

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Australian Educational Vocabulary ID

scot/11877

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Lex ID

binomialfordeling

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Elhuyar ZTH ID

133812

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Encyclopædia Britannica Online ID

topic/binomial-distribution

subject named as

binomial distribution

author name string

Richard Routledge

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Freebase ID

/m/018rn

1 reference

stated in

Freebase Data Dumps

publication date

28 October 2013

Great Russian Encyclopedia Online ID (old version)

1866439

subject named as

БИНОМИАЛЬНОЕ РАСПРЕДЕЛЕНИЕ

reason for deprecated rank

redirected to GRE portal

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Great Russian Encyclopedia portal ID

binomial-noe-raspredelenie-b4dc1c

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JSTOR topic ID (archived)

binomial-distributions

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MathWorld ID

BinomialDistribution

1 reference

stated in

MathWorld

retrieved

30 May 2020

Microsoft Academic ID

41054675

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OpenAlex ID

C41054675

1 reference

stated in

OpenAlex

retrieved

26 January 2022

reference URL

https://docs.openalex.org/download-snapshot/snapshot-data-format

Quora topic ID

Binomial-Distribution

1 reference

stated in

Quora

Store norske leksikon ID

binomisk_fordeling

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Sitelinks

Wikipedia(53 entries)

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• arwiki توزيع ثنائي الحدين
• astwiki Distribución binómica
• bewiki Біномнае размеркаванне
• bnwiki দ্বিপদী বন্টন
• cawiki Distribució binomial
• cswiki Binomické rozdělení
• dawiki Binomialfordelingen
• dewiki Binomialverteilung
• elwiki Διωνυμική κατανομή
• enwiki Binomial distribution
• eswiki Distribución binomial
• etwiki Binoomjaotus
• euwiki Banaketa binomial
• fawiki توزیع دوجمله‌ای
• fiwiki Binomijakauma
• frwiki Loi binomiale
• glwiki Distribución binomial
• hewiki התפלגות בינומית
• hiwiki द्विपद वितरण
• huwiki Binomiális eloszlás
• idwiki Distribusi binomial
• itwiki Distribuzione binomiale
• jawiki 二項分布
• kkwiki Биномдық үлестірілу
• kowiki 이항 분포
• ltwiki Binominis skirstinys
• lvwiki Binomiālais sadalījums
• mkwiki Биномна распределба
• mswiki Taburan binomial
• nlwiki Binomiale verdeling
• nnwiki Binomisk fordeling
• nowiki Binomisk fordeling
• plwiki Rozkład dwumianowy
• ptwiki Distribuição binomial
• rowiki Distribuția binomială
• ruwiki Биномиальное распределение
• simplewiki Binomial distribution
• skwiki Binomické rozdelenie
• slwiki Binomska porazdelitev
• sqwiki Shpërndarja binomiale
• srwiki Binomna raspodela
• suwiki Sebaran binomial
• svwiki Binomialfördelning
• tawiki ஈருறுப்புப் பரவல்
• thwiki การแจกแจงทวินาม
• tlwiki Distribusyong binomial
• trwiki Binom dağılımı
• ukwiki Біноміальний розподіл
• urwiki دو رقمی توزیع
• uzwiki Binomial taqsimot
• viwiki Phân phối nhị thức
• zh_yuewiki 二項分佈
• zhwiki 二項式分布

Wikibooks(0 entries)

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Wikinews(0 entries)

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Wikiquote(0 entries)

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Wikisource(0 entries)

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Wikiversity(2 entries)

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• arwikiversity حساب الاحتمالات/القانون الحداني
• frwikiversity Variables aléatoires discrètes/Loi binomiale

Wikivoyage(0 entries)

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Wiktionary(0 entries)

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Multilingual sites(1 entry)

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• commonswiki Category:Binomial distributions

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