# Hypergeometric distribution Calculator

## Calculates the probability mass function and lower and upper cumulative distribution functions of the hypergeometric distribution.

successes of sample x
 x=0,1,2,.. x≦n
sample size n
 n=0,1,2,.. n≦N
successes of lot M
 M=0,1,2,.. x≦M
lot size N
 N=0,1,2,.. M≦N
 6dgt10dgt14dgt18dgt22dgt26dgt30dgt34dgt38dgt42dgt46dgt50dgt
 $\normal Hypergeometric\ distribution\\[10](1)\ probability\ mass\\\hspace{30}f(x,n,M,N)={\large\frac{{}_MC_x\ {}_{N-M}C_{n-x}}{{}_NC_n}}\\(2)\ lower\ cumulative\ distribution\\\hspace{30}P(x,n,M,N)={\large\sum_{t=0}^{x}}f(t,n,M,N)\\(3)\ upper\ cumulative\ distribution\\\hspace{30}Q(x,n,M,N)={\large\sum_{t=x}^{M}}f(t,n,M,N)\\(4)\ expectation(mean):\hspace{10}{\large\frac{nM}{N}}\\$

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