statistics

6) Suppose that an insurance company has only two customers: Allen and Ben. Assume that Allen and Ben claim on their life insurance policies in accordance with independent Poisson processes with rate AA : 2 and A3 : 1 per week, respectively. If the amount of money paid on each policy is expentially distributed with mean $2,000. What is the mean and variance of the amount of money paid by the insurance company in a four-week span. (5pt)