Y 1 X 0 0 0.12 0.04 1 0.08 0.19 2 0.06 0.12 2 0.04 0.05 0.30 (a) Give the marginal density of both X and Y as well as the probability distribution of X given Y = 2. (b) Give E(X) and Var(X). (c) Give E(X | Y = 2) and Var(X | Y = 2).
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