43. The number of claims received at an insurance company during a week is a random variable...

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43. The number of claims received at an insurance company during a week is a random variable with mean μ1 and variance σ2 1 . The amount paid in each claim is a random variable with mean μ2 and variance σ2 2 . Find the mean and variance of the amount of money paid by the insurance company each week. What independence assumptions are you making? Are these assumptions reasonable?

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