hygepdf (Statistics Toolbox)

Hypergeometric probability density function (pdf).

Syntax

Y = hygepdf(X,M,K,N)

Description

hygecdf(X,M,K,N) computes the hypergeometric pdf with parameters M, K, and N at the values in X. The arguments X, M, K, and N must all be the same size except that scalar arguments function as constant matrices of the common size of the other arguments.

The parameters M, K, and N must be positive integers. Also X must be less than or equal to all the parameters and N must be less than or equal to M.

The hypergeometric pdf is:

The result, y, is the probability of drawing exactly x items of a possible K in n drawings without replacement from group of M objects.

Examples

Suppose you have a lot of 100 floppy disks and you know that 20 of them are defective. What is the probability of drawing 0 through 5 defective floppy disks if you select 10 at random?

p = hygepdf(0:5,100,20,10)

p =

    0.0951    0.2679    0.3182    0.2092    0.0841    0.0215

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