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Maritime Insurance Company offers insurance policies for recreational boats. A t

ID: 1251051 • Letter: M

Question

Maritime Insurance Company offers insurance policies for recreational boats. A typical policy will pay the replacement cost of $25,00 if the boat is a total loss.If the boat is not a total loss but the damage is more than $10,000 the policy pays $5,000. For damage under $10,000, no coverage is offered. The company estimates the probability of no damage to be .60, the probability of damage between $0 and $10,000 to be .25, and the probability of damage between $10,000 and $25,000 to be.12 If the company wants to make a profit of $200 above the expected cots, what should be the price of the policy?

Explanation / Answer

et the price P

then :


0.12 x 5,000 + (1 - 0.12 - 0.6 - 0.25) X 25,000 = p

SO, p = 1350

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