22. Let X denote the proportion of allotted time that a randomly selected student spends working on...

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22. 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 0 x 1 0 otherwise where 1 . A random sample of ten students yields data x1 .92, x2 .79, x3 .90, x4 .65, x5 .86, x6 .47, x7 .73, x8 .97, x9 .94, x10 .77.

a. Use the method of moments to obtain an estimator of , and then compute the estimate for this data.

b. Obtain the maximum likelihood estimator of , and then compute the estimate for the given data.

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Probability And Statistics For Engineering And The Sciences

ISBN: 9781111802325

7th Edition

Authors: Dave Ellis, Jay L Devore

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Question Posted: Sep 16, 2024 11:00 AM

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22. Let X denote the proportion of allotted time that a randomly selected student spends working on...

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Probability And Statistics For Engineering And The Sciences

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