Problem 2. Do problem 4.5.6 in DeGroot. Problem 3. Suppose the distribution of random variable X is an even function f(x) = f(-2), and E[X] exists for n = 1, 2, 3, 4. Let Y = X2. Show that X and Y are not correlated. (Hint: What are E[X] and E[X³]?) D

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