The probability of a randomly selected adult in one country being infected with a certain virus is 0.003. In tests for the virus, blood samples from 18 people are combined. What is the probability that the combined sample tests positive for the virus? Is it unlikely for such a combined sample to test positive? Note that the combined sample tests positive if at least one person has the virus. The probability that the combined sample will test positive is (Round to three decimal places as needed.)

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 probability of a randomly selected adult in one country being infected with a certain virus is 0.003. In tests for the virus, blood samples from 18 people are
combined. What is the probability that the combined sample tests positive for the virus? Is it unlikely for such a combined sample to test positive? Note that the
combined sample tests positive if at least one person has the virus.
The probability that the combined sample will test positive is
(Round to three decimal places as needed.)
Transcribed Image Text:The probability of a randomly selected adult in one country being infected with a certain virus is 0.003. In tests for the virus, blood samples from 18 people are combined. What is the probability that the combined sample tests positive for the virus? Is it unlikely for such a combined sample to test positive? Note that the combined sample tests positive if at least one person has the virus. The probability that the combined sample will test positive is (Round to three decimal places as needed.)
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