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

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?

Solutions

Expert Solution

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

orchestra answered 1 year ago

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