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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
Employee I has a higher productivity rating than employee II and a measure of the total productivity of the pair of employees is 30Y1 + 25Y2. Find the expected value of this measure of productivity.
5.16 Let Y1 and Y2 denote the proportions of time (out of one workday) during which employees I and II, respectively, perform their assigned tasks. The joint relative frequency behavior of Y1 and Y2 is modeled by the density
- a Find P(Y1 < 1/2, Y2 > 1/4).
- b Find P(Y1 + Y2 ≤ 1).
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Chapter 5 Solutions
Mathematical Statistics with Applications
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