The University Police Department Must Write, on Average, Five Tickets

question 16

Multiple Choice

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 9.2. Find the probability that fewer than six tickets are written on a
Randomly selected day.

• A)0.810835
• B)0.104074
• C)0.895926
• D)0.189165

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Definitions:

Likelihood

The probability of a set of observations given a particular statistical model.

Joint Probability

The likelihood of two or more events occurring simultaneously given the intersection of the events.

Intersection

The point or set of points where two or more mathematical sets or geometrical shapes meet or overlap.

Union of Events

A set operation that combines all the outcomes of two or more events, with no duplicate outcomes.