1. Let X ~N(0,4) where 0 real; thus E(X) = 0 and var(X) = 4. Consider the family of pdf's parameterized by 0. You can assume that this family is very regular and also that the MLE of 0, call it Y for this problem, is the sample mean, which you can assume is unbiased here. a. Compute I(0) where I is Fisher's Information. b. Find a sufficient statistic for 0, justify. c. Find an MVUE for 0. Justify. d. Find the ANV for the CAN behavior of M. = the sample median, in this problem. e. Find the ANV for the CAN behavior of the square of the sample mean here. f. Show that the estimator of the square of 02 , studied in (e) here, is biased