The time between arrivals of vehicles at a particular intersection follows an exponential probability distribution with a mean of 10 seconds. a. What is the probability that the arrival time between vehicles is 12 seconds or less (to 4 decimals)? b. What is the probability that the arrival time between vehicles is  6 seconds or less (to 4 decimals)? c. What is the probability of  30 or more seconds between vehicle arrivals (to 4 decimals)?

Traffic and Highway Engineering
5th Edition
ISBN:9781305156241
Author:Garber, Nicholas J.
Publisher:Garber, Nicholas J.
Chapter4: Traffic Engineering Studies
Section: Chapter Questions
Problem 17P
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The time between arrivals of vehicles at a particular intersection follows an exponential probability distribution with a mean of 10 seconds.

a. What is the probability that the arrival time between vehicles is 12 seconds or less (to 4 decimals)?

b. What is the probability that the arrival time between vehicles is  6 seconds or less (to 4 decimals)?

c. What is the probability of  30 or more seconds between vehicle arrivals (to 4 decimals)?

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