= 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?
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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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?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbb7f1ce8-2552-49b5-ba1d-534a58de11ae%2F39c54065-e6c5-4458-bd39-437bc82ceec8%2F6sid6uw_processed.jpeg&w=3840&q=75)
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
![](/static/compass_v2/shared-icons/check-mark.png)
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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