Problem 2: Let X denote the proportion of allotted time that a randomly selected student spends working on a certain aptitude test. Suppose the pdf of X is shown below, where -1 < 0. f(x; 0) = 1)xe 0 0 x 1 otherwise Use the method of moments to obtain an estimator of O 1 - 1 (1+X) O 1 (1+X) x-1-2 (X-1) (x-1)-1 1 (1-x) - -2