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Using a theorem to solve a probability problem

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A random sample of size n is drawn without replacement from an urn containing r red chips and w white chips. Define the random variable X to be the number of red chips in the sample. Use the summation described in Theorem 3.5.1 (see attachment) to prove that E(X) = rn/(r + w)

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Solution Summary

This solution demonstrates how to employ the provided theorem to solve for a probability problem, which consists of determining the number of red chips in a random sample that contains both red and white chips.

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