The Sutton police department must write,on average,6 tickets a day to keep department revenues at budgeted levels.Suppose the number of tickets written per day follows a Poisson distribution with a mean of 6.5 tickets per day.Interpret the value of the mean.
A)The mean has no interpretation.
B)The expected number of tickets written would be 6.5 per day.
C)Half of the days have less than 6.5 tickets written and half of the days have more than 6.5 tickets written.
D)The number of tickets that is written most often is 6.5 tickets per day.

Question

Quizplus · Accepted Answer

The mean of a Poisson distribution represents the expected number of occurrences of an event in a certain period of time or space. In this case, the mean of 6.5 tickets per day means that on average, we expect to see 6.5 tickets written per day in the Sutton police department.

The Sutton Police Department Must Write,on Average,6 Tickets a Day