There are two boxes, Box A and Box B. Box A has 10 balls each marked with a number, 3 balls are marked "1", 5 balls are marked "2", the remaining balls are marked "3". Box B has 12 balls each marked with a number, 5 balls are marked "(", 4 balls are marked "1", the remaining balls are marked "2". A ball is drawn at random from Box A, the number is taken, the ball is then placed into Box B, and then another ball is drawn at random from Box B, the number is also taken. Let X be the sum of the numbers taken from the 2 balls. Construct the probability mass function for X. (10 marks) b) Find the expected value of X, E(X). (3 marks) c ) Find the variance of X, V(X). (3 marks) Let Y = 2X and Z = X2, determine d) E(3Y - 4Z) (5 marks) e) V(2Y - 5Z) (4 marks)