Problem 5. (For Math 4311 Only) Suppose a discrete random variable X assumes the value 3 / 2 with probability 0.5 and assumes the value 1/2 with
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Problem 5. (For Math 4311 Only) Suppose a discrete random variable X assumes the value 3 / 2 with probability 0.5 and assumes the value 1/2 with probability 0.5. (a) Calculate the expected value of X. (b) Suppose that Y is an independent random miables with the same distribution as X. What is the expected value of the sum X + Y? (c) What is the expected value of the product X Y?

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