Poisson process Assignment
February 18th, 2020
- Consider a Poisson process with rate λ. Let N be the number of arrivals in time interval (0,t]andM bethenumberofarrivalsintimeinterval(0,t+s],wheret>0,s≥0.
(a) Find the conditional PMF pM |N (m | n) of M given N .
(b) Find the joint PMF pN,M(n,m) of N and M.
(c) Find the conditional PMF pN|M(n|m) of N given M.
(d) Find E[NM].