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13-10-2022
Mathematics

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The number of vehicles arriving at a toll booth, per minute, were observed as follows: 0, 3, 1, 2, 0, 1, 1, 1, 2, 0, 1, 4, 3, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0 (a) Assuming that the arrival rate of vehicles at the toll booth is a Poisson process, estimate the mean arrival rate. (b) Perform a chi-square test to determine the validity of the Poisson distribution at the 1% significance level.

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