### Function Reference: `hygepdf`

statistics: y = hygepdf (x, m, k, n)
statistics: y = hygepdf (…, `"vectorexpand"`)

Hypergeometric probability density function (PDF).

For each element of x, compute the probability density function (PDF) of the hypergeometric distribution with parameters m, k, and n. The size of y is the common size of x, m, k, and n. A scalar input functions as a constant matrix of the same size as the other inputs.

This is the probability of obtaining x marked items when randomly drawing a sample of size n without replacement from a population of total size m containing k marked items. The parameters m, k, and n must be positive integers with k and n not greater than m.

If the optional parameter `vectorexpand` is provided, x may be an array with size different from parameters m, k, and n (which must still be of a common size or scalar). Each element of x will be evaluated against each set of parameters m, k, and n in columnwise order. The output y will be an array of size `r x s`, where `r = numel (m)`, and `s = numel (x)`.

Further information about the hypergeometric distribution can be found at https://en.wikipedia.org/wiki/Hypergeometric_distribution

See also: hygecdf, hygeinv, hygernd, hygestat

Source Code: hygepdf

### Example: 1

     ## Plot various PDFs from the hypergeometric distribution
     x = 0:60;
     y1 = hygepdf (x, 500, 50, 100);
     y2 = hygepdf (x, 500, 60, 200);
     y3 = hygepdf (x, 500, 70, 300);
     plot (x, y1, "*b", x, y2, "*g", x, y3, "*r")
     grid on
     xlim ([0, 60])
     ylim ([0, 0.18])
     legend ({"m = 500, k = 50, μ = 100", "m = 500, k = 60, μ = 200", ...
              "m = 500, k = 70, μ = 300"}, "location", "northeast")
     title ("Hypergeometric PDF")
     xlabel ("values in x (number of successes)")
     ylabel ("density")