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@ynakayama

# 離散型確率分布

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# 離散型の確率分布

## 離散一様分布

P(X = x) = \frac 1 n \\
(x = 1,...,n)


このとき平均と分散はそれぞれ (n+1)/2 及び (n^2-1)/2 。

## ベルヌーイ分布

P(X = x) = p^x(1-p)^{1-x} \\
(x = 0, 1)


このとき平均と分散はそれぞれ p 及び p(1-p)

## 二項分布

B(n, p)


## ポアソン分布

P(X = x) = exp(-\lambda)\frac {\lambda^x} {x!} \\
(x = 0,1, ...)


## 幾何分布

P(X = x) = p(1 - p)^x \\
(x = 0,1, ...)


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