Please review the question below.

Problem 1. [18 pts] Let X1. .... X, be a random sample from an Exponential(1/A) distribution with density fx (C; A) = if a 2 0 0 otherwise. (a) [8 pts] Is the estimator A = min( X1, X2. .... Xn} unbiased for A? Show your work. If it is not unbiased, please suggest a revised estimator based on A to make it unbiased. (b) [10 pts] We want to construct an approximate 100(1 - o)% confidence interval for A based on the maximum likelihood estimator. Compute the margin of error of this confidence interval