OneNote File Edit View Insert Format Notebooks Tools Window Help K A ABC Q 8 Fri 6 May 9:07 PM ... OneNote Home Insert Draw View LE Share P AI O N NN Text Lasso Insert Eraser Pen Marker Highlighter Ink 2 mm 3 mm 5 mm 6.5 mm 8 mm Mode Select Space Colour Q L Course Code # 8 8: STAT 1012 Copyright Reserved $ 2 A ( # 3 7 ) Page 2 of 3 Problem 3 [10 Points] Let X1, X2, X3 and Y1, Y2. Y3, Y4 denote, respectively, independent random samples from the two independent distribution, Binomial(3, p) and Binomial(4, p). Let X = (X, + X2 + X3)/3, Y = (Y1 + Y2 + )3 + Y4)/4, Consider five estimators for p as follows: Y X +y 3 X - X 1 P1 = X, Pz = ' P3 = = 7 P4 = Y -X3, PS =- 6 (a) [5 Points] Which of the above is/are the unbiased estimator(s) for p ? Justify your answer. (b) [5 Points] Which of the above is the best unbiased estimator for p ? Justify your answer. LS MAY 6 4