Question

In a particular city, the average number of live births every month is seven. Assume that the number of births follows a Poisson distribution.

1. What is the probability that no live births will occur during the month of February?

2. What is the probability that at least five live births occur during the month of June?

3. What is the probability that six or more live births will occur during the month of June?

4. What is the probability that seven live births will occur during the month of March?

Answer 1

Given :

Therefore , the pmf of X is ,

   ; x > 0

= 0 ; otherwise

1 ) P ( X = 0 ) = 0.000912    From statistical table

2 )

   From statistical table

3 )

   From statistical table

4 ) P(X=7)=0.149003    From statistical table