QUESTION 1 A box contains five cards numbered 1, 2, 2, 4 and 5. Two cards are selected at random from the box and let X is a random variable denote the sum of the numbers drawn. a) Construct the probability distribution for X. (3 marks) b) Find the probability that the sum of the numbers is at least 4 and not more than 7. (2 marks) C) Compute the expected sum of the numbers selected. (3 marks) d) Calculate E(Y) if Y = 2-4 4 (2 marks)