The arrival of vehicles at a specified roadway location is Poisson distributed. The flow count shows 540 veh/hr at this roadway location. -          What is the probability that headway between successive vehicles will be less than 6 seconds? -          What is the probability that headway between successive vehicles will be greater than than 12 seconds? -          What is the probability that headway between successive vehicles will be between 6 and 12 seconds? -          Draw the probability density function of the exponential distribution and show the key items in the graph. -          Draw the cumulative distribution of the exponential distribution and show the key items in the graph

Traffic and Highway Engineering
5th Edition
ISBN:9781305156241
Author:Garber, Nicholas J.
Publisher:Garber, Nicholas J.
Chapter4: Traffic Engineering Studies
Section: Chapter Questions
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The arrival of vehicles at a specified roadway location is Poisson distributed. The flow count shows 540 veh/hr at this roadway location.

-          What is the probability that headway between successive vehicles will be less than 6 seconds?

-          What is the probability that headway between successive vehicles will be greater than than 12 seconds?

-          What is the probability that headway between successive vehicles will be between 6 and 12 seconds?

-          Draw the probability density function of the exponential distribution and show the key items in the graph.

-          Draw the cumulative distribution of the exponential distribution and show the key items in the graph.

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