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Math · Advanced Math
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2. An insurance company is designing a new business for people who are elder than 60, suppose there are 10,000 people buy this insurance with cost 200 yuan a year. If one customer die in this year, the company will pay 10,000 yuan to his (her) family. Each customer is independent, with probability p-0.01to be dead. (1) Whats the probability that the profit is not less than 1,000,000? (2) If the company decrease the charge, there will be more customers. Suppose each one yuan is decreased, 125 more customers will buy it. To obtain the maximum mean profit, what is the best price of the charge?
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