- {(6 + 1 {* Let X denote the proportion of allotted time that a randomly selected student spends working on a certain a

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6 1 Let X Denote The Proportion Of Allotted Time That A Randomly Selected Student Spends Working On A Certain A 1 (35.92 KiB) Viewed 39 times

- {(6 + 1 {* 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 f(x) = (+1)x Osxs1 otherwise where -1 < 8. A random sample of ten students yields data x = 0.65, x2 = 0.94, x3 = 0.45,x, = 0.92, x3 = 0.79, x6 = 0.73, x, = 0.90.X = 0.99.x, = 0.86, X10 = 0.79. (a) Use the method of moments to obtain an estimator of = = = = = = 1 - 2 +*) 1 1 o - 2 - 1 Compute the estimate for this data. (Round your answer to two decimal places.) (b) Obtain the maximum likelihood estimator of 8. Eln(X) -1 n o Eln(X) n Eln(x) n - 1 Iln(X) n Eln(x) Compute the estimate for the given data. (Round your answer to two decimal places.)