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# If Y1 is the total time between a customers arrival in the store and departure from the

ISBN: 9780495110811 47

## Solution for problem 5.108 Chapter 5

Mathematical Statistics with Applications | 7th Edition

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Problem 5.108

If Y1 is the total time between a customers arrival in the store and departure from the service window and if Y2 is the time spent in line before reaching the window, the joint density of these variables was given in Exercise 5.15 to be f (y1, y2) = ey1 , 0 y2 y1 , 0, elsewhere. The random variable Y1 Y2 represents the time spent at the service window. Find E(Y1 Y2) and V(Y1 Y2). Is it highly likely that a randomly selected customer would spend more than 4 minutes at the service window?

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Assignment # 3 STA 5205, 5126 and 4202 Date: Wednesday, October 26, 2015 This assignment is based on Chapter 5. You must show all necessary work to get full credit. Please submit your assignment in due time. Some selected questions will be graded. Pl keep 1” margin in all sides of the paper. You must define both null and alternative hypotheses for any test related question....

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