# Hypergeometric distribution (chart)

## Calculates a table of the probability mass function, or lower or upper cumulative distribution function of the hypergeometric distribution, and draws the chart.

select function
 probability mass f lower cumulative distribution P upper cumulative distribution Q
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
[ initial percentile x
(successes of sample)
 x=0,1,2,..  x≦n
increment
 repetition ]

 $\normal Hypergeometric\ distribution\\[10](1)\ probability\ mass\\\hspace{30}f(x,n,M,N)={\large\frac{{}_MC_x\ {}_{N-M}C_{n-x}}{{}_NC_n}}\\(2)\ lower\ cumulative\ distribution\\\hspace{30}P(x,n,M,N)={\large\sum_{t=0}^{x}}f(t,n,M,N)\\(3)\ upper\ cumulative\ distribution\\\hspace{30}Q(x,n,M,N)={\large\sum_{t=x}^{M}}f(t,n,M,N)\\$

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