AMERICAN DEGREE TRANSFER PROGRAM SUNWAY UNIVERSITY Question 3 (5 marks) The sample space for a machine breakdown problem is, S = {misuse, electrical, mechanical), and each of this failure is associated with a repair cost of about RM 50, RM 200, and RM 350, respectively. The probability distribution is given below. Are these data discrete or continuous? X = x 50 200 350 P(X = x) k Z 0.01 You are required to assign the value of k. The value must be developed from the division of the last two digits of your student ID and 100. (1 mark) a) Hence, find value of z. (1 mark) b) Calculate the mean and standard deviation of the repair cost