3. The joint probability mass function of X and Y, p(x, y), is given by p(1, 1) = 1 9 , p(2, 1) = 1 3 , p(3, 1) = 1 9 , p(1, 2) = 1 9 , p(2, 2) = 0, p(3, 2) = 1 18 , p(1, 3) = 0, p(2, 3) = 1 6 , p(3, 3) = 1 9

Compute E[X|Y = i] for i = 1, 2, 3.