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 N ≤ M. 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