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Infant Mortality Infant mortality is an example of a relatively rare event that can be described by the Poisson distribution, for which the probability of x occurrences is given by Xe f(x) = x! x = 0, 1, 2, ... (a) Verify that f describes a probability distribution by showing that Es(x) = 1. (b) Calculate the expected value for f, given by Exf(x). x=0 (c) In 2014, the U.S. infant mortality rate was estimated at 6.17 per 1000 live births. Assuming that this is the expected value for a Poisson distribution, find the probability that in a random sample of 1000 live births, there were fewer than 4 cases of infant mortality. Source: Central Intelligence Agency.

Infant Mortality Infant mortality is an example of a relatively rare event that can be described by the Poisson distribution, for which the probability of x occurrences is given by Xe f(x) = x! x = 0, 1, 2, ... (a) Verify that f describes a probability distribution by showing that Es(x) = 1. (b) Calculate the expected value for f, given by Exf(x). x=0 (c) In 2014, the U.S. infant mortality rate was estimated at 6.17 per 1000 live births. Assuming that this is the expected value for a Poisson distribution, find the probability that in a random sample of 1000 live births, there were fewer than 4 cases of infant mortality. Source: Central Intelligence Agency.

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.4: Expected Value
Problem 20E
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Infant Mortality Infant mortality is an example of a relatively rare event that can be described by the Poisson distribution, for which the probability of x occurrences is given by Xe f(x) = x! x = 0, 1, 2, ... (a) Verify that f describes a probability distribution by showing that Es(x) = 1. (b) Calculate the expected value for f, given by Exf(x). x=0 (c) In 2014, the U.S. infant mortality rate was estimated at 6.17 per 1000 live births. Assuming that this is the expected value for a Poisson distribution, find the probability that in a random sample of 1000 live births, there were fewer than 4 cases of infant mortality. Source: Central Intelligence Agency.
Transcribed Image Text:Infant Mortality Infant mortality is an example of a relatively rare event that can be described by the Poisson distribution, for which the probability of x occurrences is given by Xe f(x) = x! x = 0, 1, 2, ... (a) Verify that f describes a probability distribution by showing that Es(x) = 1. (b) Calculate the expected value for f, given by Exf(x). x=0 (c) In 2014, the U.S. infant mortality rate was estimated at 6.17 per 1000 live births. Assuming that this is the expected value for a Poisson distribution, find the probability that in a random sample of 1000 live births, there were fewer than 4 cases of infant mortality. Source: Central Intelligence Agency.
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