What is the probability that the test comes back negative for all six people? (b) What is the probability that the test comes back positive for at least one of the six people?
What is the probability that the test comes back negative for all six people? (b) What is the probability that the test comes back positive for at least one of the six people?
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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Question
A test to determine whether a certain antibody is present is
99.2%
effective. This means that the test will accurately come back negative if the antibody is not present (in the test subject)
99.2%
of the time. The probability of a test coming back positive when the antibody is not present (a false positive) is
0.008.
Suppose the test is given to
six
randomly selected people who do not have the antibody.(a) What is the probability that the test comes back negative for all
six
people?(b) What is the probability that the test comes back positive for at least one of the
six
people?Expert Solution
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