In Exercise 5.16, Y1 and Y2 denoted the proportions of time during which employees I and
Chapter 5, Problem 5.36(choose chapter or problem)
In Exercise 5.16, Y1 and Y2 denoted the proportions of time during which employees I and II actually performed 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. a Find the marginal density functions for Y1 and Y2. b Find P(Y1 1/2|Y2 1/2). c If employee II spends exactly 50% of the day working on assigned duties, find the probability that employee I spends more than 75% of the day working on similar duties.
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