A construction zone on a highway has a posted speed of 40 kmph. The speeds of vehicles passing through this construction zone are normally distrbuted with a mean of 45 kmph and a standard deviation of 4 kmph. a.) What is the probability that a vehicle passing through the construction zone exceeds the posted limit? b.) What is the probability that a vehicle passing through the construction zone is travelling at speeds between 38 and 49 kmph?
A construction zone on a highway has a posted speed of 40 kmph. The speeds of vehicles passing through this construction zone are normally distrbuted with a mean of 45 kmph and a standard deviation of 4 kmph. a.) What is the probability that a vehicle passing through the construction zone exceeds the posted limit? b.) What is the probability that a vehicle passing through the construction zone is travelling at speeds between 38 and 49 kmph?
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 16P
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A construction zone on a highway has a posted speed of 40 kmph. The speeds of vehicles passing through this construction zone are normally distrbuted with a mean of 45 kmph and a standard deviation of 4 kmph.
a.) What is the probability that a vehicle passing through the construction zone exceeds the posted limit?
b.) What is the probability that a vehicle passing through the construction zone is travelling at speeds between 38 and 49 kmph?
c,) For the next 30,000 vehicles passing through the construction zone, how many will be passing through the zone with speed less then 50 kmph?
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