2. We say the rv X has the Weiner distribution with parameter 0 > 0 (written X - W(0) ) if X has pdf f(x)= 2x/0', for 0 0 }. a. Let Yn be the maximum of the random sample of size n from W(0). Show that Y is a consistent estimator of 0. (Note here that is the 0 is the "population maximum.") b. Find the pdf of Yn. (Hint: Find the cdf first.) C. Show that Yn is NOT an unbiased estimator of 0. (Hint: use (b).) d. Show how to "correct" Yn here to make it unbiased, and call your new estimator Tn . Show your new estimator is also consistent, hence UC