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

1. Suppose that X, X., ., X, is a random sample (one sample value is > 0) from f (x 1 0) = (0 + 1) -1-*0", x=0, 1, 2, ., with unknown parameter 0 (> 0). (I) Write out the Likelihood function L of 0 in simplified form. L= f. (X,| 0) = It_if (x(10) = (II) Write out the function In (L) of 0 in simplified form. Ln (L) = In {f . (Xn| 0)) = (III) Write out the derivative of In (L) in simplified form. (IV) Write out the M.L.E., 0, of 0, in simplified form. 0 = MLE (0) =