Please answer all parts to the question below: **I will upvote!**

(#4) Suppose that Xi, Xs, .., X. is a random sample from the following distribution: f(x10) = (0+ 1) ]-* 0, x=0, 1,2, ., with unknown mean @(> 0). Here 0 is an unknown parameter. Find an efficient estimator for this problem. (I) Write out the following function, in simplified form: 2. (X 1 0) = In [It_,f (X,| 0)]= (II) Write out the following function, in simplified form: Na (X 10) = 34 (X10) (III) Define efficient estimator (s) as appropriate. (IV) Write out the following functions, in simplified form: V =