= 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?

Structural Analysis
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Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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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?
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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