Question: Suppose the number of accidents in an interval of time has Poisson (λ) distribution. suppose that in each accident there are k persons injured with probability pk, independently of all other accidents, Let Nk be the number of accidents in which k persons are injured.
a) What is the joint distribution of N1 and N2?
b) Let M be the total number of persons injured. Find formulae for E(M) and SD(M) in terms of p1, p2, . . and λ.