Question [12 Mark]: Let X denote the proportion of allotted time that truly selected students spend working on a certain aptitude test. Suppose the pdf of X is given by f(x) = (0 + 4)x^(0.5), where 0 ≤ x ≤ 1. A random sample of ten students yields the data T2 = 79, T3 = 90, T4 = 65, T5 = 386, T6 = 47, T7 = 73, T8 = 10, T9 = 41, T10 = 10. Use the method of moments to obtain an estimator for the parameter and compute the netic tul-based on the given sample.