A company estimates that 0.1% of their products will fail after the original warranty period but within 2 years of the purchase, with a replacement cost of $500. If they offer a 2 year extended warranty for $46, what is the company's expected value of each warranty sold?
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- An insurance company issues a one-year $1,000 policy insuring against an occurrence A that historically happens to 7 out of every 100 owners of the policy. Administrative fees are $25 per policy and are not part of the company's "profit." How much should the company charge for the policy if it requires that the expected profit per policy be $80? [HINT: If C is the premium for the policy, the company's "profit" is C − 25 if A does not occur, and C − 25 − 1,000 if A does occur.]In bidding for a remodeling project, a carpenter determines that he will have a net profit of $5000 if he gets the contract and a net loss of $86 if his bid fails. If the probability of his getting the contract is .2, calculate his expected return.An insurance policy sells for $720. Based on past data, an average of 1 in 70 policyholders will file a $10,000 claim, an average of 1 in 100 policyholders will file a $20,000 claim, and an average of 1 in 400 policyholders will file a $50,000 claim. (a) What is the expected value to the company per policy sold?(b) What is the expected profit of selling 100,000 policies?