(a) (6 pts) Suppose that the benefit paid by a certain insurance company is a random variable Y = 3X e-* where X is an exponential random variable with mean 1. What is the expected benefit to be paid by the company? (b) (8 pts) If X is a uniform random variable between (0.04,0.08) and Y = 1000eX, find the cdf of Y. Use this cdf to derive the pdf of Y as well. (a) (6 pts) Suppose that the benefit paid by a certain insurance company is a random variable Y = 3X e-* where X is an exponential random variable with mean 1. What is the expected benefit to be paid by the company? (b) (8 pts) If X is a uniform random variable between (0.04,0.08) and Y = 1000eX, find the cdf of Y. Use this cdf to derive the pdf of Y as well