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The university police department must write, on average, five tickets per day to keep department revenues...

The university police department must write, on average, five tickets per day to keep department revenues at budgeted levels. Suppose the number of tickets written per day follows a Poisson distribution with a mean of 6 tickets per day. Find the probability that exactly 7 tickets are written on a randomly selected day from this distribution.

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Answer #1

Solution :

Given that ,

mean = \mu = 6

Using Poisson probability formula,

P(X = x) = (e-\mu * \mu x ) / x!

P(X = 7) = (e-6 * 67) / 7! = 0.13768

Probability = 0.13768

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