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

(#3) Suppose that Xi, Xe, .., Xeo is a random sample from the following distribution: f(x | 0)=0 (1-0), 1=0, 1, 2, ........... Here 0 is an unknown parameter. Find an efficient estimator for this problem. (6 POINTS) (I) Write the joint pmf / pdf of X1, Xa, ..... X. in simplified form. f. (X 1 0) = III,f (X,10) = (II) Write out the following function in simplified form. 2.(X 1 0) = In [II?', f (X, 1 0)] = (III) Write out the following function in simplified form. Na (X 10) = dA (X10) (IV) Define the efficient estimator T. T = (V) Write out the following functions in simplified form. - (9) n V (0) =