Suppose that the random variables X and Y have the

Chapter 3, Problem 22

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Suppose that the random variables X and Y have the following joint p.d.f.: f (x, y) = 8xy for 0 x y 1, 0 otherwise. Also, let U = X/Y and V = Y . a. Determine the joint p.d.f. of U and V . b. Are X and Y independent? c. Are U and V independent?

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