# poisson process

a
2. ### Poisson process: phone calls

We assume that phone calls arrive according to a Poisson process with rate 2. If I know that up to time t = 1 there is one call only, how likely is it that it arrived after t = 0.75? If I know that up to time t = 1 two calls arrived, how likely is it that the second arrived after t = 0.75? So...
3. ### The avarage age problem

Hi Guys, I’m trying to figure out a good model for modeling the average age of a population. More specifically the average number of years people have been enrolled at a university who are in turn members of a club, which I call “age”. • The rate at which new members arrive could be...
4. ### Poisson Process Problem

People come into a store according to a Poisson process with rate: lambda (t) = 0.0025*t (people / period) Of all the people who arrive between 14:00 and 14:30, 30% goes to pay at the checkout, 50% goes to buy products with discount and 20% to other types of paperwork. Given the constraints of...
5. ### Poisson process in 3D

I haven't the slightest idea of how to tackle the following problem. Find the probability density for the distance from an event to its nearest neighbor for a Poisson process in three-dimensional space. All my book says about "Poisson processes" is "The Poisson distribution often arises...