Q3b) and 3c) are the qns im struggling with this homework assignment

T3_1 PDE [TUT.C PDF [LEC.O PDF) [SOL.C PDE) A X SOLVE How t UNBI/ EFFICIM Inbox o Mail- G varian (3) Da G Supp *Home + X -> C File | C:/Users/treap/Downloads/Assignment%201.pdf Dashboard - LumiN... M Inbox (79) - sanath... Mail - Sanath Nand.. Homepage M Timetable - NUSMo.. IE1111R Project - G... soccer-streams | Di... Live Soccer Streami.. of 2 + Page view A Read aloud | V Draw V Highlight V Erase P (d) What is your estimate of / if you use the above estimator? (5 points) (e) Which estimator do you prefer? Explain your reasoning. (10 points) Exercise 3 Let X1, . .., In be a sample of n observations independently drawn from a common probability distribution with the density function p(x; 0) = 2x/02, 0 0 unknown and to be estimated. (a) Show that the likelihood function is f ( 1 , . .., In; 0 ) = 3 0 otherwise, where, as usual, max denotes the sample maximum. (10 points) (b) Find the maximum likelihood estimator 0 of 0 using the above charac- terization of the likelihood function. (20 points) (c) Is e an unbiased estimator of 0? Explain your reasoning. (10 points) 2 As in the lecture note, Tmax denotes max {X1, X2, . . ., In} 2