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An insurer sells a very large number of policies to people with the following loss distribution:$100,000 with probability 0.005$ 60,000 with probability 0.010Loss = $ 20,000 with probability 0.020$ 10,000 with probability 0.05$ 0 with probability 0.915
a. Calculate the expected claim cost per policy.b. Assume claims are paid one year after premiums are received and that the interest rate is 6 percent. Calculate the discounted expected claim cost per policy.c. Assume that the only administrative cost is the cost of processing an application, which equals $100 per policy, and that the fair profit loading is $50. What is the fair premium?
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