Question 4 (15 marks) In which cases Poisson distribution model is applicable fo

Question

Question 4 (15 marks) In which cases Poisson distribution model is applicable for traffic flow marks) measurement? (2 a. Ans. b. The field data was collected via traffic survey at a particular location. The number of vehicles arrived of 90 no of ten-second intervals over the 15-minute survey period was recorded. The following results were obtained analysing the actual data. Site Number: 245 Mean of the number arrivals per 10 seconds: 1.75 Variance of the number arrivals per 10 seconds: 2.35 Mean/Variance: 0.75 Determine the theoretical number of 10-second intervals contain x vehicles using Poisson model and draw a histogram showing observed and theoretical frequencies. (13 marks)

Explanation / Answer

A) Poissin distribution can be used for- 1. Analysis of arrival rates at a given point, 2. Studies of vehicle spacing (gaps), 3. Determination of probability of finding a vacant parking space, 4. Studies of certain accidents, 5. Design of left turn pockets.

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