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An insurance company needs to determine the annual premium required to break eve

ID: 3252472 • Letter: A

Question

An insurance company needs to determine the annual premium required to break even for collision protection for cars with a value of $10,000. The random variable x is the claim size on these policies and the analysis is restricted to the losses $1000, $5000, and $10,000. The probability distribution of x is as shown in the table. What premium should customers be charged for the company to break even? Solve each of the following. E(x) = V(x) = SIGMA = Which value is most useful for finding the break even point for the company? expected value frequency standard deviation random variable variance Determine the break even value. $

Explanation / Answer

The premium which should be charged by the company to break even

= Expected Value

= $ 196

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