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) =
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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.
(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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