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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.

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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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