## Hypergeometric Distribution

The hypergeometric distribution is a discrete probability distribution that describes the number of successes in a sequence of

*n*draws from a finite population without replacement.

For a population of N objects containing m defective components, it follows the remaining N − m components are non-defective. The hypergeometric distribution describes the probability that in a sample of

*n*distinctive objects drawn from the shipment exactly

*k*objects are defective.

In general, a random variable

*X*possessing a hypergeometric distribution with parameters

*N*,

*m*and

*n*, the probability of getting exactly

*k*successes is given by:

The mean and variance of hypergeometric distribution are listed below:

Calculate the mean and variance of a hypergeometric random variable for parameters N = 700, m = 35, and n = 20.

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