Let X be the proportion of allotted time that a randomly selected student spends working on a certain aptitude test. Suppose the pdf of X is (x; theta) = (1 + theta)x , 0 ≤ x ≤ 1 for θ > −1. A random sample of 10 students yields data: x1 = 0.92, x2 = 0.79, x3 = 0.90, x4 = 0.65, x5 = 0.86, x6 = 0.47, x7 = 0.73, x8 = 0.97, x9 = 0.94, x10 = 0.77. (a) Use the MOM to obtain an estimator of θ; compute an estimate for the given data. (b) Obtain the MLE of θ and then compute an estimate for the given data