= 07:29:58, Six vehicles traveled in a one-lane road. They were detected by a tube counter at t = 07:30:05, 07:30:12, 07:30:16, 07:30:24, 07:30:27. The time format is in hh:mm:ss. Assume random arrivals. What is the average headway in seconds? What is the probability that after the 6th vehicle has passed, the 7th vehicle will arrive on or after 07:30:37? What is the probability that exactly two vehicles will arrive in the next 10 seconds?
= 07:29:58, Six vehicles traveled in a one-lane road. They were detected by a tube counter at t = 07:30:05, 07:30:12, 07:30:16, 07:30:24, 07:30:27. The time format is in hh:mm:ss. Assume random arrivals. What is the average headway in seconds? What is the probability that after the 6th vehicle has passed, the 7th vehicle will arrive on or after 07:30:37? What is the probability that exactly two vehicles will arrive in the next 10 seconds?
Traffic and Highway Engineering
5th Edition
ISBN:9781305156241
Author:Garber, Nicholas J.
Publisher:Garber, Nicholas J.
Chapter6: Fundamental Principles Of Traffic Flow
Section: Chapter Questions
Problem 5P
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
Transcribed Image Text:07:29:58,
Six vehicles traveled in a one-lane road. They were detected by a tube counter at t
07:30:05, 07:30:12, 07:30:16, 07:30:24, 07:30:27. The time format is in hh:mm:ss. Assume
random arrivals. What is the average headway in seconds? What is the probability that after
the 6th vehicle has passed, the 7th vehicle will arrive on or after 07:30:37? What is the
probability that exactly two vehicles will arrive in the next 10 seconds?
Expert Solution

Introduction:
Time headway is defined as the time in seconds between two consecutive vehicles passing through a particular point, in a traffic stream.
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