StatsHyperGCDF

StatsHyperGCDF (x, m, n, k)

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

Details

The hypergeometric distribution is

$$F(x ; m, n, k)=\sum_{L=0}^{x} \frac{\displaystyle \binom{n}{L}\binom{m-L}{k-L}}{\displaystyle \binom{m}{k}},$$

where

$$\displaystyle \binom{a}{b}$$

is the binomial function. All parameters must be positive integers and must have m >n and x <k ; otherwise it returns NaN.

References

J.H. Klotz, Computational Approach to Statistics.

See Also

Statistical Analysis, StatsHyperGPDF