# In Exercise 5.16, Y1 and Y2 denoted the proportions of time that employees I and II ## Problem 5.109 Chapter 5

Mathematical Statistics with Applications | 7th Edition

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Problem 5.109

In Exercise 5.16, Y1 and Y2 denoted the proportions of time that employees I and II actually spent working on their assigned tasks during a workday. The joint density of Y1 and Y2 is given by f (y1, y2) = y1 + y2, 0 y1 1, 0 y2 1, 0, elsewhere. In Exercise 5.80, we derived the mean of the productivity measure 30Y1 + 25Y2. Find the variance of this measure of productivity. Give an interval in which you think the total productivity measures of the two employees should lie for at least 75% of the days in question.

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##### ISBN: 9780495110811

Mathematical Statistics with Applications was written by Sieva Kozinsky and is associated to the ISBN: 9780495110811. Since the solution to 5.109 from 5 chapter was answered, more than 206 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Mathematical Statistics with Applications , edition: 7th. This full solution covers the following key subjects: . This expansive textbook survival guide covers 32 chapters, and 3350 solutions. The full step-by-step solution to problem: 5.109 from chapter: 5 was answered by Sieva Kozinsky, our top Statistics solution expert on 07/18/17, 08:07AM. The answer to “In Exercise 5.16, Y1 and Y2 denoted the proportions of time that employees I and II actually spent working on their assigned tasks during a workday. The joint density of Y1 and Y2 is given by f (y1, y2) = y1 + y2, 0 y1 1, 0 y2 1, 0, elsewhere. In Exercise 5.80, we derived the mean of the productivity measure 30Y1 + 25Y2. Find the variance of this measure of productivity. Give an interval in which you think the total productivity measures of the two employees should lie for at least 75% of the days in question.” is broken down into a number of easy to follow steps, and 99 words.

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