QUESTION The employees of General Manufacturing Company (GMC) receive health Insurance through a group plan Issund by Well Life. During the past year, 40 percent of the amployees did not file any health Insurance claims, 40 percent file only a small calm, and 20 percent filed a large claim. The small claims were spread according to the following distribution Amount Claim (RM) 100 150 1000 1500 2000 Probability 0.20 0.20 0.20 0.20 0.20 The large claims were spread between RM2500 to RM20000 according to the following distribution Amount Claim (RM) 2500 5000 7500 10000 12500 15000 18000 20000 Probability 0.05 0.10 0.15 0.20 0.20 0.15 0.10 0.05 Based on this experience, Well Life now is negotiating the company's premium payment per employee for the upcoming year. You are asked by the management of GMC to analyze the average cost of insurance coverage for the employees of the company. a) Simulate for 15 trials to determine the claim by the employees by using the following random numbers. Types of 95 92 7624 76 | 64 | 02 | 53 | 16 | 88 | 1845 | 65 | 03 | 99 claim Amount of 11 91 9957 | 28 | 61 70 33 91 67 claim (11 marks) b) From your simulation determine the average amount of claims (2 marks) find the probabilities of small and large claim types. (2 marks)