2. Let y1, ..., yn be realisations of n iid random variables with probability mass function f (y; 0) = ex (1 - 0 ) 1 - 09 y = 0, 1, 2, ... , 7, 8 for some unknown parameter 0 E (0, 1). Hint. For this distribution, 909 E(Y) = 8109 1 - 0 1 - 09 and var(Y) = (1 - 0)2 (1 - 09)2.b) The score function of 0 is given by ny n n O a. U(0) = -0 1-99 Ob. U(0) = Zi=1 Vi n In08 + 1-09 O C. U(0) = Zizl yi n In08 + 1 -0 1-09 Od. U(0) = Zizl Vi + n 1-0 1-09