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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

]

x	Hypergeometric distribution

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

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.

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