Transport engineers are interested to study the pattern and the risk of accidents at a junction. Suppose we observe the following frequency distribution of the number of accidents in 150 weeks. Number...


Transport engineers are interested to study the pattern<br>and the risk of accidents at a junction. Suppose we observe the following frequency<br>distribution of the number of accidents in 150 weeks.<br>Number of Accidents 0<br>Observed frequency 50 30 24 30<br>1<br>2<br>3<br>4 5 6 7+<br>10 5 1 0<br>Find an estimate (to four decimal places) of the average number of accidents in a<br>week.<br>Perform a goodness of fit test at the 5% significance level of the null hypothesis<br>that the observed number of accidents follow a Poisson distribution.<br>

Extracted text: Transport engineers are interested to study the pattern and the risk of accidents at a junction. Suppose we observe the following frequency distribution of the number of accidents in 150 weeks. Number of Accidents 0 Observed frequency 50 30 24 30 1 2 3 4 5 6 7+ 10 5 1 0 Find an estimate (to four decimal places) of the average number of accidents in a week. Perform a goodness of fit test at the 5% significance level of the null hypothesis that the observed number of accidents follow a Poisson distribution.

Jun 07, 2022
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