Suppose that Y1, Y2, and Y3 are independent 2-distributed random variables with 1, 2

Chapter 5, Problem 5.155

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Suppose that Y1, Y2, and Y3 are independent 2-distributed random variables with 1, 2, and 3 degrees of freedom, respectively, and that W1 = Y1 + Y2 and W2 = Y1 + Y3. a In Exercise 5.87, you derived the mean and variance of W1. Find Cov(W1, W2). b Explain why you expected the answer to part (a) to be positive.

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