use this fact to find the best unbiased estimator of p . payponi id 7.49 Let Xi,. Xn be iid exponential(X). who to collonut (a) Find an unbiased...

could you help me with the attached question. It is from Statistical Inference for Berger and Casella.

use this fact to find the best unbiased estimator of p . payponiid7.49 Let Xi,.... Xn be iid exponential(X).who to collonut(a) Find an unbiased estimator of A based only on Y = min{Xi,. . ., X,}. J M.(b) Find a better estimator than the one in part (a). Prove that it is better.se tal bim(c) The following data are high-stress failure times (in hours) of Kevlar/epoxy spher-ical vessels used in a sustained pressure environment on the space shuttle:aAT50.1, 70.1, 137.0, 166.9, 170.5, 152.8, 80.5, 123.5, 112.6. 148.5, 160.0, 125.4.Failure times are often modeled with the exponential distribution. Estimate themean failure time using the estimators from parts (a) and (b).