solution

The Poisson distribution has been used by traffic engineers as a model for light traffic, based on the rationale that if the rate is approximately constant and the traffic is light (so the individual cars move independently of each other), the distribution of counts of cars in a given time interval or space area should be nearly Poisson (Gerlough and Schuhl 1955). The following table shows the number of right turns during 300 3-min intervals at a specific intersection. Fit a Poisson distribution and test goodness of fit using Pearson's chi-square statistic. Group the last four cells together for the chi-square test. Comment on the fit. It is useful to know that the 300 intervals were distributed over various hours of the day and various days of the week.

 
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