Let X1, , X„ be a random sample from the exponential distribution with unknown scale parameter 0 > 0 and p.d.f as defined above. Part a) [7 pts.] Find the maximum likelihood estimator of 0. Part b) [6...

Let X1, , X„ be a random sample from the exponential distribution with unknown scale parameter 0 > 0 and p.d.f as defined above.
Part a) [7 pts.] Find the maximum likelihood estimator of 0. Part b) [6 pts.] Find the mean square error of the maximum likelihood estimator of 0. Part c) [7 pts.] Is the maximum likelihood estimator of 0 and efficient estimator? Justify your
answer.