both questions Suppose the joint density of two continuous random variables X and Y is given by f(x; y) = ( 1 6 (x2y + xy2) if 0 x 1; 0 y 3 0 elsewhere : (a) Find the conditional density of X given Y = 2, i.e., fXjY (xj2). (b) Compute P(X 4jY = 2). (c) Find the conditional mean of X given Y = 2, i.e., E[XjY = 2]