1 (20 points) Let X denote the proportion of time that a randomly selected student spends working on a Stats final. Suppose the pdf of X is f (x; 0) = (0 + 1)2 05251 0 otherwise where 0 > -1. A random sample X1, X1, .., n of size n is given. 1.1 10 points Use the method of moments to obtain an estimator of 0. 1.2 10 points Obtain the maximum likelihood estimator of 0