Question: Let the joint density function of two random variables X and Y be (a) Derive the conditional distributions f (y|x), x = 0, 1. (b)

Let the joint density function of two random variables X and Y be

x\y 0 1 2 0 .1.2 .2 1 .2.1 .2

(a) Derive the conditional distributions f (y|x), x = 0, 1.

(b) Derive the following moments: E(X), E(Y), Var(X), Var(Y), Cov(X, Y), E(XY), Corr(X, Y), E(Y|X = 0), E(Y|X = 1), Var(Y|X = 0).

x\y 0 1 2 0 .1.2 .2 1 .2.1 .2

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