An engineer has observed that the gap times between

Chapter 6, Problem 110SE

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Problem 110SE

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

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

b 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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