15. False Positives The ELISA is a test to determine whether the HIV antibody is present. The test is 99.5% effective, which means that the test will come back negative if the HIV antibody is not present 99.5% of the time. The probability of a test coming back positive when the antibody is not present (a false positive) is 0.005. Suppose that the ELISA is given to five randomly selected people who do not have the HIV antibody (a) What is the probability that the ELISA comes back negative for all five people? (b) What is the probability that the ELIS.A comes back positive for at least one of the five people?
15. False Positives The ELISA is a test to determine whether the HIV antibody is present. The test is 99.5% effective, which means that the test will come back negative if the HIV antibody is not present 99.5% of the time. The probability of a test coming back positive when the antibody is not present (a false positive) is 0.005. Suppose that the ELISA is given to five randomly selected people who do not have the HIV antibody (a) What is the probability that the ELISA comes back negative for all five people? (b) What is the probability that the ELIS.A comes back positive for at least one of the five people?
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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Transcribed Image Text:15. False Positives The ELISA is a test to determine whether
the HIV antibody is present. The test is 99.5% effective,
which means that the test will come back negative if the
HIV antibody is not present 99.5% of the time. The probability
of a test coming back positive when the antibody is not present
(a false positive) is 0.005. Suppose that the ELISA is given
to five randomly selected people who do not have the HIV
antibody
(a) What is the probability that the ELISA comes back negative
for all five people?
(b) What is the probability that the ELIS.A comes back positive
for at least one of the five people?
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