# Random Variable And Probability Mass Function

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1. A jar contains n chips. Suppose that a boy successively draws a chip from the jar, each time replacing the one drawn before drawing another. This continues until boy draws a chip that he has previously drawn before. Let X denote the number of draws, and compute its probability mass function.

2. Let X be a negative binomial random variable with parameters r and p, and let Y be a binomial random variable with parameters n and p. Show that P{X>n}=P{Y<r}

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#### Solution Summary

This solution comprises of a step by step explanation of how to calculate the probability mass function and illustrates some theory on the negative binomial random variable.

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