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3. A pair of random variables (X,Y) has a joint probability distribution in which X has a marginal probability density function W) ={ if :1;

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3. A pair of random variables (X,Y) has a joint probability distribution in which X has a marginal probability density function W) ={ if\" :1; [0'1] and the conditional distribution of Y given {X = 3:} is UH]. 1/3]. (a) Determine the marginal probability density function for Y. (b) Determine IP(X + Y S 1). (0) Determine Cov(X, Y)

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