7.12 A bus arrives at a bus stop at a randomly selected time within a 1-hour period....

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7.12 A bus arrives at a bus stop at a randomly selected time within a 1-hour period. A passenger arrives at the bus stop at a randomly selected time within the same hour. The passenger will wait for the bus up to one-quarter of an hour. What is the probability that the passenger will catch the bus? [Hint : Let X1 denote the bus arrival time and X2 the passenger arrival time. If these arrivals are independent, then Now find P(X2 … X1 … X2 + 1>4).]

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Probability And Statistics For Engineers

ISBN: 9781133006909

5th Edition

Authors: Richard L Scheaffer, Madhuri Mulekar, James T McClave, Cecie Starr

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