(Solution Download) From a sack of fruit containing 3 oranges 2 apples

If the joint probability distribution of X and Y is given by f (x, y) = x + y /030 for = o, 1, 2, 3; y = (1, 1, 2, find
(a) P(X <2, Y = 1);
(b) P(X > 2, Y < 1);
(c) P(X > Y);
(d) P(X + Y = 4).