Question 1) Suppose Y1, Y2, .., Yn are independent and identically distributed (i.i.d.) random variables from the Exponential (0) distribution. a. Find E(Y) and Var (Y). b. From the results in part a., by the Central Limit Theorem, the random variable: Y - 0 e/ vn has an approximate G(0, 1) distribution. It also follows that Y - 0 Q = Y /Vn has an approximate G(0, 1) distribution. Use the above approximate pivotal quantity Q to determine the formula for an approximate 95% confidence interval for 0. C. Now, suppose that a random sample of n = 100 observations from an Exponential(0) distribution was drawn, and 2121 y; = 1,056.17. Using your result in part b. determine a 95% confidence interval for 0