If p= 1.2% and n = 500, is the Poisson distribution a reasonable approximation of the binomial distribution? O yes no What is the mean of this binomial distribution (and the mean of the Poisson distribution used to approximate it)? What is the actual standard deviation of this binomial distribution? What is the standard deviation of the (approximate) Poisson distribution? Are these values in reasonable agreement? O yes no

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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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If p = 1.2% and n = 500, is the Poisson distribution a
reasonable approximation of the binomial distribution?
yes
no
What is the mean of this binomial distribution (and the
mean of the Poisson distribution used to approximate it)?
What is the actual standard deviation of this binomial
distribution?
What is the standard deviation of the (approximate) Poisson
distribution?
Are these values in reasonable agreement?
yes
no
Transcribed Image Text:If p = 1.2% and n = 500, is the Poisson distribution a reasonable approximation of the binomial distribution? yes no What is the mean of this binomial distribution (and the mean of the Poisson distribution used to approximate it)? What is the actual standard deviation of this binomial distribution? What is the standard deviation of the (approximate) Poisson distribution? Are these values in reasonable agreement? yes no
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