Q8. Let X1, X2, Xn be a random sample from a Bernoulli distribution with p.d.f. f(x; 8) = e*(1– 0)!-* (x = 0,1). Show that I. the Method of Moments Estimator (MME) of 0 is = II. the Maximum Likelihood...

Extracted text: Q8. Let X1, X2, Xn be a random sample from a Bernoulli distribution with p.d.f. f(x; 8) = e*(1– 0)!-* (x = 0,1). Show that I. the Method of Moments Estimator (MME) of 0 is = II. the Maximum Likelihood Estimator (MLE) of 0 is ô = X ô = X is an unbiased estimator of 0. ô = X is Consistent estimator of 0. ô = X is Minimum Variance Unbiased Estimator (MVUE) of 0. III. IV. V.