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

Answer:

2

Step-by-step 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) =$\frac{1460}{365}=4$

So,  the standard deviation of the number of tickets written per day by the campus police = $\sqrt{4} =2$

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