hypergeometricDistribution -- hypergeometric distribution

Synopsis

Usage:

hypergeometricDistribution(m, n, k)
Inputs:
- m, an integer, nonnegative;
- n, an integer, nonnegative;
- k, an integer, between 0 and m + n;
Outputs:
- a discrete probability distribution,

The hypergeometric distribution, the number of white balls drawn after drawing k balls from an urn containing m white and n black balls.

i1 : X = hypergeometricDistribution(5, 6, 4)

o1 = HG(5,6,4)

o1 : DiscreteProbabilityDistribution

i2 : density_X 2

      5
o2 = --
     11

o2 : QQ

i3 : probability_X 3

     65
o3 = --
     66

o3 : QQ

i4 : quantile_X 0.4

o4 = 2

i5 : random X

o5 = 3

Probability texts often use the total number of balls (our m + n) as one of the parameters of this distribution. Our definition is consistent with R.