a) What is the probability that among 10 vaccinated patients at most 1 will not have been immunized? b) How many individuals, on average, should be vaccinated until one is found that has not been immunized?

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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The effectiveness of the AstraZeneca and Oxford Covid-19 vaccine is known to have shown a 82.4% effectiveness. This means that the likelihood of an individual who got the vaccine being immunized is 82.4%.

a) What is the probability that among 10 vaccinated patients at most 1 will not have been immunized?
b) How many individuals, on average, should be vaccinated until one is found that has not been immunized?

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