We learned in Exercise 3.26 that about 90% of American adults had chickenpox before adulthood. We now consider a random sample of 120 American adults. How many people in this sample would you expect to have had chickenpox in their childhood? And with what standard deviation? Would you be surprised if there were 105 people who have had chickenpox in their childhood? What is the probability that 105 or fewer people in this sample have had chickenpox in their childhood? How does this probability relate to your answer to part b?

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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We learned in Exercise 3.26 that about 90% of American adults had chickenpox before adulthood. We now consider a random sample of 120 American adults.

  1. How many people in this sample would you expect to have had chickenpox in their childhood? And with what standard deviation?
  2. Would you be surprised if there were 105 people who have had chickenpox in their childhood?
  3. What is the probability that 105 or fewer people in this sample have had chickenpox in their childhood? How does this probability relate to your answer to part b?
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