a) The sales manager of a large supermarket chain wished to determine whether his customers made a list before going for grocery shopping. He surveyed 200 customers from three stores. The results are shown below. Made list (M) No list (N) Store A Store B Store C 57 53 7 10 15 58 If a customer is selected at random, find the probability that the customer (1) did not make a grocery list. made a grocery list, given that the customer shopped at Store A. shopped at Store A or B, provided that she prepared the shopping list. (iii) b) Sunshine Supermarket is organizing lucky draw contest. Those spending minimum of RM 70 at the supermarket are eligible to participate in the contest. The first and the second prizes are RM 800 and RM 600 coupon voucher respectively, and 3 consolation prizes worth RM 200 each to be won. Each winner can only win one prize for the contest. Find the probability distribution of the net earnings earned if a customer purchase RM 70 and join the contest at the supermarket if the total number of participants is 300