1) Suppose Y1, Y2, ..., Y'n are independent and identically distributed (i.i.d.) random variables with E(Yi) = p and Var(Yi) = 62, i = 1, 2, ..., n. a. Find E(Y7). Hint: Var(Y) = E(Y2) - [E(Y)]2. Rearrange this equation and answer the next question. b. Find E(Y). Note: You are showing that / = Y is an UNBIASED estimator of u. C. Find Var(Y) . d. Find E(Y2). Again, you can rearrange the equation as you did in part a. to solve this part. e. Now, use your results in parts a. to d. to show that E (82) = E(S?) = 02 where 62 = $2 = = n-1 Note: You are showing that $2 = 02 is an UNBIASED estimator of oz