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Hypergeometric probability density function


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


Y = hygepdf(X,M,K,N) computes the hypergeometric pdf at each of the values in X using the corresponding size of the population, M, number of items with the desired characteristic in the population, K, and number of samples drawn, N. X, M, K, and N can be vectors, matrices, or multidimensional arrays that all have the same size. A scalar input is expanded to a constant array with the same dimensions as the other inputs.

The parameters in M, K, and N must all be positive integers, with NM. The values in X must be less than or equal to all the parameter values.

The hypergeometric pdf is

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


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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