3. (8pts) The joint probability density function of X and Y is given by f(x,y) =...

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3. (8pts) The joint probability density function of X and Y is given by f(x,y) = if 0 < 0, find the conditional density function of X given Y fxy (xy). What is fxy (x|10)? What distribution does X|Y = 10 follow? (b) (4pts) Compute E(XY = y) for any y > 0 from part (a)? What are E(X|Y = 2) and E(XY)? 3. (8pts) The joint probability density function of X and Y is given by f(x,y) = if 0 < 0, find the conditional density function of X given Y fxy (xy). What is fxy (x|10)? What distribution does X|Y = 10 follow? (b) (4pts) Compute E(XY = y) for any y > 0 from part (a)? What are E(X|Y = 2) and E(XY)?