Question: I need help with this question: At a street intersection, accidents happen according to a Poisson process at a rate of A. per month. Each

I need help with this question:

I need help with this question: At a street intersection, accidents happen

At a street intersection, accidents happen according to a Poisson process at a rate of A. per month. Each accident leads to an insurace claim of a random dollar amount. Assume that the amounts of the claims are i.i.d. with mean u and SD 0', independent of the process of accidents. Find the expectation and variance of the total amount claimed for accidents at that intersection in a year

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