6. The joint probability density function of X and Y is given by p(x, y) = 2(x + y)){0 < x

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6 The Joint Probability Density Function Of X And Y Is Given By P X Y 2 X Y 0 X Y 1 I 2 A Find Cov 1 (84.65 KiB) Viewed 21 times

6. The joint probability density function of X and Y is given by p(x, y) = 2(x + y)){0 < x <y <1} I = 2 = = (a) Find cov(X,Y) (b) Let W = X+Y. Find the distribution fiunction of W. (c) Define Z = P(X)E(Y|X). Find E(Z) and var(Z). (The calculation might be complicated) (d) Let 0 = var (W) and (Li, Yi)–1 be random sample from p(x,y). What is the sample analogue estimator? Is it consistent for ? n i=