A television program reported that the U.S. (annual) birth rate is about 19 per 1,000 people, and the death rate is about 14 per 1,000 people.

(a)

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

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

(b)

Consider a community of 1,000 people. (Round your answers to four decimal places.)

What is the (annual) probability of 6 births?

P(6 births) =

What is the (annual) probability of 6 deaths?

P(6 deaths) =

What is the (annual) probability of 15 births?

P(15 births) =

What is the (annual) probability of 15 deaths?

P(15 deaths) = Probabilities should be between 0 and 1.

(c)

Consider a community of 1,500 people. (Round your answers to four decimal places.)

What is the (annual) probability of 6 births?

P(6 births) =

What is the (annual) probability of 6 deaths?

P(6 deaths) =

What is the (annual) probability of 15 births?

P(15 births) =

What is the (annual) probability of 15 deaths?

P(15 deaths) =

(d)

Consider a community of 750 people. (Round your answers to four decimal places.)

What is the (annual) probability of 6 births?

P(6 births) =

What is the (annual) probability of 6 deaths?

P(6 deaths) =

What is the (annual) probability of 15 births?

P(15 births) =

What is the (annual) probability of 15 deaths?

P(15 deaths) =