2 Let X denote the proportion of allotted time that a ran

Last updated: 11/10/2023

2 Let X denote the proportion of allotted time that a ran domly selected student spends working on a certain aptitude test Suppose the pdf of X is 0 1 x 0 x 1 0 otherwise f x 0 where 1 0 A random sample of ten students yields data x 92 x 79 x 90 x 65 x 86 x 47 x 73 x 97 x 94 X 0 77 a Use the method of moments to obtain an estimator of 8 and then compute the estimate for this data b Obtain the maximum likelihood estimator of 8 and then compute the estimate for the given data