The required Poisson distribution used to model the elapsed time between the occurrence of successive events for a poisson random variable
We have to find distribution model used to model elapse the time between the occurrence of successive events for Poisson random variable.
we know that, Poisson distribution
P(x=x) = e^-λ(λ)^x/x!
Time between succeess,
P(y>x) = e^-λy
and, P(y<x) = 1- e^-λy
They are exponential distribution.
To know more about Poisson distribution visit:
brainly.com/question/17280826
#SPJ4