Boston Children's Hospital estimates that 90% of Americans have had chickenpox by the time they reach adulthood.

Question:

(a) Suppose we take a random sample of 100 American adults. Is the use of the binomial distribution appropriate for calculating the probability that exactly 97 out of 100 randomly sampled American adults had chickenpox during childhood? Explain.

(b) Calculate the probability that exactly 97 out of 100 randomly sampled American adults had chickenpox during childhood.

(c) What is the probability that exactly 3 out of a new sample of 100 American adults have not had chickenpox in their childhood?

(d) What is the probability that at least 1 out of 10 randomly sampled American adults have had chickenpox?

(e) What is the probability that at most 3 out of 10 randomly sampled American adults have not had chickenpox?

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a Yes the use of the binomial distribution is appropriate in this case The binomial distribution is used when we have a fixed number of independent trials in this case the 100 American adults sampled ...View the full answer

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OpenIntro Statistics

ISBN: 9781943450077

4th Edition

Authors: David Diez, Mine Çetinkaya-Rundel, Christopher Barr

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Question Posted: Jul 20, 2023 06:21 AM

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Boston Children's Hospital estimates that 90% of Americans have had chickenpox by the time they reach adulthood.

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a Yes the use of the binomial distribution is appropriate in this case The binomial distribution is used when we have a fixed number of independent trials in this case the 100 American adults sampled ...View the full answer

OpenIntro Statistics

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