6.116 An engineer has observed that the gap times between vehicles passing a certain point on a...

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6.116 An engineer has observed that the gap times between vehicles passing a certain point on a highway have an exponential distribution with a mean of 10 seconds.

a Find the probability that the next gap observed will be no longer than 1 minute.

b Find the probability density function for the sum of the next four gap times to be observed. What assumptions are necessary for this answer to be correct?

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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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