Avicenna, a major insurance company, offers five-year life insurance policies to 65-year-olds. If the holder of one of these policies dies before the age of 70, the company must pay out $23,600 to the beneficiary of the policy. Executives at Avicenna are considering offering these policies for $791 each. Suppose that for each holder of a policy there is a 3% chance that they will die before the age of 70 and a 97% chance they will live to the age of 70.
To answer, take into account the price of the policy and the expected value of the amount paid out to the beneficiary.
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