Asked by Emily Faith on Jun 03, 2024
Verified
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.
Poisson Distribution
A discrete probability distribution that expresses the probability of a given number of events occurring in a fixed interval of time or space, assuming that these events occur with a known constant mean rate and independently of the time since the last event.
Tickets
A document or electronic card that gives the holder a right to admission, travel, or participation in an event.
- Interpret the mean and its implications in real-world contexts for various distributions.
Verified Answer
WP
Wilawan PalachumJun 07, 2024
Final Answer :
B
Explanation :
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.
Learning Objectives
- Interpret the mean and its implications in real-world contexts for various distributions.