Construct the MLE..

4. Consider an iid sample of {X, i =1, ..., n}, where Xli Xi = X 2i ~N ( ( 8 ) . ( 1 3 (a) Compute the MLE of p. (b) Discuss the bias, the consistency, and the asymptotic normality of the MLE. (c) Propose a method of moment estimator of p. And derive its bias, the consistency, and the asymptotic normality. (d) Compare the MLE and the method of moment estimator