Let X have a uniform distribution on the interval (0,1). Given that X = x, let Y have a uniform distribution (0,x + 1). a) Find E(Y|x), the conditional mean of Y , given that X = x. b) Find fy(y), the marginal p.d.f. of Y . c) Find E(Y). d) Find E(X|y), the conditional mean of X, given that Y = y.