4. ) Engineers recorded the number of vehicles arriving along a Gentilly street for each of 180 30-sec intervals. The data are given below. a. Using the Poisson distribution, find the probability that exactly 5 vehicles will pass during a random 30-sec interval. b. Using the Exponential Distribution, estimate the percentage of a randomly chosen group of gaps that will be greater than 20 sec. Number of Cars per Observed Frequency, fi Total cars Observed Interval Xi fX 10 1 24 24 2 45 90 3 33 99 4 29 116 15 75 7. 42 7 11 77 4 32 >9 18 180 573

4. ) Engineers recorded the number of vehicles arriving along a Gentilly street for each of 180 30-sec intervals. The data are given below. a. Using the Poisson distribution, find the probability that exactly 5 vehicles will pass during a random 30-sec interval. b. Using the Exponential Distribution, estimate the percentage of a randomly chosen group of gaps that will be greater than 20 sec. Number of Cars per Observed Frequency, fi Total cars Observed Interval Xi fX 10 1 24 24 2 45 90 3 33 99 4 29 116 15 75 7. 42 7 11 77 4 32 >9 18 180 573

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 5P

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in the entrance of car parking, the vehicle arrival in each counting period of 100 sec. is shown in table below, check whether the arrival distribution of vehicle can be assumed random or not
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