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An insurance company is selling a policy that will pay for at most one accident. For a major accident, the policy pays $7000; for a

An insurance company is selling a policy that will pay for at most one accident. For a major accident, the policy pays $7000; for a minor accident, the policy pays $2000. The company estimates that the probability of a major accident is 0.007, and the probability of a minor one is 0.1. What yearly premium should the insurance company charge in order to:

a) break even?

b) have an expected gain of $65?

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