Question

I solved a problem using Poisson Distribution given a rare event.  

However, out of curiosity, what would be the likelihood of the rare even happening again given it just occurred? How would I utilize Poisson distribution in this scenario?

I thought that since Poisson dist are supposed to be independent, that I would just solve again normally but that doesn't sound right. Any insight on this would be appreciated.

Answer 1

the poisson distribution is used to describe the distribution of rare events in a large population.For example ,at any particular time,there is a certain probablity that a particular cell within a large population of cells will acquire a mutation. Mutation acquisition is a rare event.

A Poisson Process meets the following criteria (in reality many phenomena modeled as Poisson processes don’t meet these exactly):

1. Events are independent of each other. The occurrence of one event does not affect the probability another event will occur.
2. The average rate (events per time period) is constant.
3. Two events cannot occur at the same time.

hope you are satisfied by the answer:)