A television program reported that the U.S. (annual) birth rate is about22per 1000 people, and the death rate is about8per 1000 people.

(a) Explain why the Poisson probability distribution would be a good choice for the random variabler= numberof births (or deaths) for a community of a given population size?

Frequency of births (or deaths) is a rare occurrence. It is reasonable to assume the events are independent.

Frequency of births (or deaths) is a common occurrence. It is reasonable to assume the events are independent.

Frequency of births (or deaths) is a rare occurrence. It is reasonable to assume the events are dependent.

Frequency of births (or deaths) is a common occurrence. It is reasonable to assume the events are dependent.

(b) In a community of 1000 people, what is the (annual) probability of9births? What is the probability of9deaths? What is the probability of12births?12deaths? (Round your answers to four decimal places.)

P(9births) =

P(9deaths) =

P(12births) =

P(12deaths) =

(c) Repeat part (b) for a community of 1500 people. You will need to use a calculator to computeP(9births)andP(12births). (Round your answers to four decimal places.)

P(9births) =

P(9deaths) =

P(12births) =

P(12deaths) =

(d) Repeat part (b) for a community of 750 people. (Round your answers to four decimal places.)

P(9births) =

P(9deaths) =

P(12births) =

P(12deaths) =