Nancy and Tom have to take a bus ride. The time taken by a

Chapter 2, Problem 2.9.14

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Nancy and Tom have to take a bus ride. The time taken by a bus for the specied journey has an expectation of 87 minutes with a standard deviation of 3 minutes, and the times taken by different buses are independent of each other. Consider the random variable X, which is dened to be the sum of the time that Nancy spends on a bus and the time that Tom spends on a bus. (a) What are the expectation and the standard deviation of X if Nancy and Tom ride on different buses? (b) What are the expectation and the standard deviation of X ifNancyandTomridetogetheronthesamebus?

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