A television program reported that the U.S. (annual) birth rate is about 16 per 1000 people, and the death rate is about 7 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 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 common occurrence. It is reasonable to assume the events are dependent.Frequency of births (or deaths) is a rare occurrence. It is reasonable to assume the events are dependent. (b) In a community of 1000 people, what is the (annual) probability of 6 births? What is the probability of 6 deaths? What is the probability of 17 births? 17 deaths? (Round your answers to four decimal places.) P(6 births) =   P(6 deaths) =   P(17 births) =   P(17 deaths) =

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Chapter8: Sequences, Series,and Probability
Section8.7: Probability
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A television program reported that the U.S. (annual) birth rate is about 16 per 1000 people, and the death rate is about 7 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 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 common occurrence. It is reasonable to assume the events are dependent.Frequency of births (or deaths) is a rare occurrence. It is reasonable to assume the events are dependent.

(b) In a community of 1000 people, what is the (annual) probability of 6 births? What is the probability of 6 deaths? What is the probability of 17 births? 17 deaths? (Round your answers to four decimal places.)
P(6 births) =  
P(6 deaths) =  
P(17 births) =  
P(17 deaths) =  

(c) Repeat part (b) for a community of 1500 people.
P(6 births) =  
P(6 deaths) =  
P(17 births) =  
P(17 deaths) =  
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