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StatsHyperGPDF

StatsHyperGPDF (x, m, n, k)

The StatsHyperGPDF function returns the hypergeometric probability distribution function, which is the probability of getting x marked items when drawing without replacement k items out of a population of m items where n out of the m are marked.

Details

The hypergeometric distribution is

f(x;m,n,k)=(nx)(mnkx)(mk),f(x ; m, n, k)=\frac{\displaystyle \binom{n}{x}\binom{m-n}{k-x}}{\displaystyle \binom{m}{k}},

where

(ab)\displaystyle \binom{a}{b}

is the binomial function. All parameters must be positive integers and must have m >n and x <k.

References

J.H. Klotz, Computational Approach to Statistics.

See Also

Statistical Analysis, StatsHyperGCDF