Hypergeometric Distribution

Distributions related to the Hypergeometric Equation:

where m, n, a, and b are integers satisfying max{0, n-b} ≤ m ≤ min{n, a}, and 0 for m elsewhere.

dhypergeom(m, a, b, n) Returns the probability density for the hypergeometric distribution.

phypergeom(m, a, b, n) Returns the cumulative probability distribution.

qhypergeom(p, a, b, n) Returns the inverse cumulative probability distribution for probability p.

rhypergeom(m, a, b, n) Returns a vector of m random numbers having the hypergeometric distribution.

Arguments:

• m, a, b, and n are integers, where 0 ≤ m ≤ a, 0 ≤ n − m ≤ b, 0 ≤ n ≤ a + b. To allow integration and other operations over these arguments, values outside of the stated range are allowed, but they produce a 0 result.
• p is a real probability between 0 and 1.

Notes:

• For definitions of the functions, and information on generating random numbers, see the Density and Distribution definitions.