In: Math
5. (Casella & Berger, 2nd ed.) A p.d.f. is defined by f(x, y) = C(x + 2y) for 0 < y < 1 and 0 < x < 2, and is zero otherwise. a) Find the value of C. b) Are X and Y independent? c) Find the marginal p.d.f of X. d. Find the conditional p.d.f fy|x(y|x). e) Find E[Y |x = 1].