The cars arrive at a intersection with a traffic light at an average rate of 360 vehicles per hour and cycle of the traffic is set at 40 seconds. In what percentage of cycles will the number of cars be arriving: a. Equal to Five b. Less than Five c. If after the lights change to green, there is time to clear only Five cars before the traffic light change to red. What is the probability that waiting vehicles are not cleared in one cycle? Note: Please Show full Solution and use 3 decimal places Topic: Probability Distribution and Traffic Queuing Models (Highway Engineering)

Traffic and Highway Engineering
5th Edition
ISBN:9781305156241
Author:Garber, Nicholas J.
Publisher:Garber, Nicholas J.
Chapter8: Intersection Control
Section: Chapter Questions
Problem 18P
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The cars arrive at a intersection with a traffic light at an average rate of 360 vehicles per
hour and cycle of the traffic is set at 40 seconds. In what percentage of cycles will the
number of cars be arriving:
a. Equal to Five
b. Less than Five
c. If after the lights change to green, there is time to clear only Five cars before the traffic
light change to red. What is the probability that waiting vehicles are not cleared in one
cycle?
Note:
Please Show full Solution and use 3 decimal places
Topic: Probability Distribution and Traffic Queuing Models (Highway Engineering)
Transcribed Image Text:The cars arrive at a intersection with a traffic light at an average rate of 360 vehicles per hour and cycle of the traffic is set at 40 seconds. In what percentage of cycles will the number of cars be arriving: a. Equal to Five b. Less than Five c. If after the lights change to green, there is time to clear only Five cars before the traffic light change to red. What is the probability that waiting vehicles are not cleared in one cycle? Note: Please Show full Solution and use 3 decimal places Topic: Probability Distribution and Traffic Queuing Models (Highway Engineering)
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ISBN:
9781305156241
Author:
Garber, Nicholas J.
Publisher:
Cengage Learning