(2) Solve the following problems about an unbiased estimator. (a) [2pts] Let's recall the setting of Q3 in Homework 6. Using the result in Q3(c) in HW6, construct an unbiased estimator (b) [Ipt] In the part (a), suppose that the random variables X1, X2, ..., Xn were not inde- pendent, but each of them still had the same distribution as X. In what way, if any, would this have changed your answer to (a)? (c) [1pt] From now on, forget about the setting in (a) and (b). Suppose X1, X2, . .., Xm follow Bernoulli(p) distribution. Using all of Xi, find an unbiased estimator of p. (d) [1pt] Suppose X1, X2, . .., Xm follow Binomial(n, p) distribution. Also, assume that we know n, but not p. Using all of Xi, find an unbiased estimator of p