Question

The university police department keeps track of the number of tickets it write in a year. Last year the campus police wrote 1460 tickets. Ticket writing on campus follows a Poisson process. What is the standard deviation of the number of tickets written per day by the campus police?

Answer 1

2

Explanation:

We are given that Ticket writing on campus follows a Poisson process.

Last year the campus police wrote 1460 tickets

So,
`X \sim Poisson (1460 / year)`

1 year = 365 days

So, E(Y) =
`(1460)/(365)=4`

So, the standard deviation of the number of tickets written per day by the campus police =
`√(4) =2`

Hence the standard deviation of the number of tickets written per day by the campus police is 2