The joint probability mass function of X and Y is given by p(1, 1) = = 8 p(1, 2) = p(2, 1) = p( 2, 2) = where p(i, j) = P{X = i, Y = j}. (a) Compute the conditional probability mass function of Y given X = 1. (b) Are X and Y independent? Justify your answer. (c) Compute P{XY > 3}.Useful formulae: P(E1E2 . . . En) = P(E1) P(E2|E1) P(E3| ElE2) . . . P(En| El . . . En-1). n n P(UA:) = [P(Ai) - [ P(AinA;) + [ P(AinA; nAK) - ... + (-1)"-1 P( NAi ). i=1 i=1 icj i