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Suppose that on the average, 3 students enrolled in a small liberal arts college have their...

Suppose that on the average, 3 students enrolled in a small liberal arts college have their automobiles stolen during the semester. What is the probability that more than 3 students will have their automobiles stolen during the current semester? Round your answer to four decimal places.

Math   Statistics-And-Probability   
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Answer #1

A Poisson probability distribution is a discrete probability distribution, where the discrete random variable is the number of events that occurs within a given time period. Here , let us define X , number of students enrolled in a small liberal arts college who have their automobiles stolen during the semester.

Thus , X follows a Poisson distribution with parameter

The probability mass function of X is :

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