Let f(x1,x2) = 21.xfx}, 0< x1 < x2 < 1, zero elsewhere be the joint pdf of X1 and X2. (a) Find the conditional mean and variance of X1, given X2 = x2, 0 < x2 < 1 (b) Find the distribution of Y = E(X1|X2) (c) Determine E(Y) and Var(Y) and compare these to E(X¡) and Var(X1), respectively.

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