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#### A television program reported that the U

###### Math

A television program reported that the U.S. (annual) birth rate is about 22 per 1000 people, and the death rate is about 8 per 1000 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 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 of 9 births? What is the probability of 9 deaths? What is the probability of 12 births? 12 deaths? (Round your answers to four decimal places.)
P(9 births) =
P(9 deaths) =
P(12 births) =
P(12 deaths) =
(c) Repeat part (b) for a community of 1500 people. You will need to use a calculator to compute P(9 births) and P(12 births). (Round your answers to four decimal places.)
P(9 births) =
P(9 deaths) =
P(12 births) =
P(12 deaths) =
(d) Repeat part (b) for a community of 750 people. (Round your answers to four decimal places.)
P(9 births) =
P(9 deaths) =
P(12 births) =
P(12 deaths) =