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binomial approximation and hypergeometric distribution

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Suppose X has a hypergeometric distribution with N = 40, M = 10 and n = 4.

a. Find P(X<=2)
b. Find the binomial approximation to the probability in (a) by ignoring that N is finite and taking p = M/N = .25. Is the approximate accurate?

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Solution Summary

The solution shows how to find the probability of a variable following the hypergeometric distribution and its binomial approximation.

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Please see the attached file for detailed solutions.

http://en.wikipedia.org/wiki/Hypergeometric_distribution
In general, if a random variable X follows the hypergeometric distribution with ...

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