Question: Answer should be typed format only without insert table and image.copied content strictly prohibited 5.30. Assume that X and Y are independent random variables uniformly

Answer should be typed format only without insert table and image.copied

Answer should be typed format only without insert table and image.copied content strictly prohibited

content strictly prohibited 5.30. Assume that X and Y are independent random

5.30. Assume that X and Y are independent random variables uniformly distributed on [0, 1]. (a) Find the PDF for Z = XY. (b) Find the PDF for Z = X - Y. (c) Find the PDF for Z = [X - Y|. (d) Find E(Z2) when Z = XY. (e) Find E(Z) in each case

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