4. A study of immunizations among school-age children in California found that some areas have rates of unvaccinated school-age children as high as 12.5%. Let X be the number of children not vaccinated in a randomly selected classroom of 40 children in one such area. (a) What is the appropriate distribution of random variable X? (b) What is the probability that there are at most three unvaccinated children in a classroom of 40? (c) What is the probability that there is at least one unvaccinated child in a classroom of 40? (d) How many unvaccinated children do we expect, on average, in randomly selected classroom of 40 children?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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4. A study of immunizations among school-age children in California found that
some areas have rates of unvaccinated school-age children as high as 12.5%. Let
X be the number of children not vaccinated in a randomly selected classroom
of 40 children in one such area.
(a) What is the appropriate distribution of random variable X?
(b) What is the probability that there are at most three unvaccinated children
in a classroom of 40?
(c) What is the probability that there is at least one unvaccinated child in a
classroom of 40?
(d) How many unvaccinated children do we expect, on average, in randomly
selected classroom of 40 children?
Transcribed Image Text:4. A study of immunizations among school-age children in California found that some areas have rates of unvaccinated school-age children as high as 12.5%. Let X be the number of children not vaccinated in a randomly selected classroom of 40 children in one such area. (a) What is the appropriate distribution of random variable X? (b) What is the probability that there are at most three unvaccinated children in a classroom of 40? (c) What is the probability that there is at least one unvaccinated child in a classroom of 40? (d) How many unvaccinated children do we expect, on average, in randomly selected classroom of 40 children?
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