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| name = Binomial distribution
| name = Binomial distribution
| type = mass
| type = mass
| pdf_image = [[File:Binomial distribution pmf.svg|300px|Probability mass function for the binomial distribution]]
| pdf_image = [[File:Binomial distribution pmf.svg.png|300px|Probability mass function for the binomial distribution]]
| cdf_image = [[File:Binomial distribution cdf.svg|300px|Cumulative distribution function for the binomial distribution]]
| cdf_image = [[File:Binomial distribution cdf.svg.png|300px|Cumulative distribution function for the binomial distribution]]
| notation = <math>B(n,p)</math>
| notation = <math>B(n,p)</math>
| parameters = <math>n \in \{0, 1, 2, \ldots\}</math> – number of trials<br /><math>p \in [0,1]</math> – success probability for each trial<br /><math>q = 1 - p</math>
| parameters = <math>n \in \{0, 1, 2, \ldots\}</math> – number of trials<br /><math>p \in [0,1]</math> – success probability for each trial<br /><math>q = 1 - p</math>
类型 = 质量，这里指<font color="#ff8000">离散型 discrete</font>
类型 = 质量，这里指<font color="#ff8000">离散型 discrete</font>
| pdf_image = [[File:Binomial distribution pmf.svg|300px|Probability mass function for the binomial distribution]]
| pdf_image = [[File:Binomial distribution pmf.svg.png|300px|Probability mass function for the binomial distribution]]
| pdf_image = Probability mass function for the binomial distribution
| pdf_image = Probability mass function for the binomial distribution
| 概率质量函数图像 = '''<font color="#ff8000">二项分布的概率质量函数 Probability mass function for the binomial distribution </font>'''
| 概率质量函数图像 = '''<font color="#ff8000">二项分布的概率质量函数 Probability mass function for the binomial distribution </font>'''
| cdf_image = [[File:Binomial distribution cdf.svg|300px|Cumulative distribution function for the binomial distribution]]
| cdf_image = [[File:Binomial distribution cdf.svg.png|300px|Cumulative distribution function for the binomial distribution]]
| cdf_image = Cumulative distribution function for the binomial distribution
| cdf_image = Cumulative distribution function for the binomial distribution
}}
}}
[[File:Pascal's triangle; binomial distribution.svg|thumb|280px|Binomial distribution for <math>p=0.5</math><br />with ''n'' and ''k'' as in [[Pascal's triangle]]<br /><br />The probability that a ball in a [[Bean machine|Galton box]] with 8 layers (''n'' = 8) ends up in the central bin (''k'' = 4) is <math>70/256</math>.|链接=Special:FilePath/Pascal's_triangle;_binomial_distribution.svg]]
[[File:Pascal's triangle; binomial distribution.svg.png|thumb|280px|Binomial distribution for <math>p=0.5</math><br />with ''n'' and ''k'' as in [[Pascal's triangle]]<br /><br />The probability that a ball in a [[Bean machine|Galton box]] with 8 layers (''n'' = 8) ends up in the central bin (''k'' = 4) is <math>70/256</math>.|链接=Special:FilePath/Pascal's_triangle;_binomial_distribution.svg.png]]
Binomial distribution for p=0.5<br />with n and k as in [[Pascal's triangle<br /><br />The probability that a ball in a Galton box with 8 layers (n = 8) ends up in the central bin (k = 4) is 70/256.]]
Binomial distribution for p=0.5<br />with n and k as in [[Pascal's triangle<br /><br />The probability that a ball in a Galton box with 8 layers (n = 8) ends up in the central bin (k = 4) is 70/256.]]