Question 5 (Total 20 marks) A. Forty five percent of the customers of a fast-food chain order a hamburger, french fries and a drink. If a random sample of 15 cash register receipts is selected: i) find the mean and standard deviation of the receipts that will show all the above 3 items in the order? (3 marks) what is the probability that more than 13 receipts will show all the above three food items in the order? (3 marks) B. Shirley receives a student loan for RM 15000 at 6% interest compounded semiannually to help her finish the TBF foundation course and will pay the loan in the next 2 years by making equal semiannually payments i) Calculate the amount Shirley must pay every semiannually. (3 mails) ii) Calculate the total interest paid. (3 marks) C. Sally takes at least 84 grams of Vitamin C and at most 120 grams of Vitamin B12 each day. Each gram of substance M contains 10 units of Vitamin C and 8 units of Vitamin B12, and each gram of substance N contains 2 units of Vitamin C and 4 units of Vitamin B12. The cost for substance M is RM 5 per gram and substance N is RM 7 per gram. How many grams of substances M and N should be mixed to meet the minimum daily requirements to minimize cost? (8 marks)