The local police department must write,on average,5 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 number of tickets that is written most often is 6.5 tickets per day.
B)Half of the days have less than 6.5 tickets written,and half of the days have more than 6.5 tickets written.
C)If we sampled all days,the arithmetic average or expected number of tickets written would be 6.5 tickets per day.
D)The mean has no interpretation since 0.5 ticket can never be written.

Question

Quizplus · Accepted Answer

The mean of a Poisson distribution represents the average or expected number of events occurring in a given time period. In this case, the mean of 6.5 tickets per day means that if we sampled all days, we would expect the average number of tickets written to be 6.5 per day.

The Local Police Department Must Write,on Average,5 Tickets a Day