Question Help A test to determine whether a certain antibody is present is 99.1% effective. This means that the test will accurately come back negative if the antibody is not present (in the test subject) 99.1% of the time. The probability of a test coming back positive when the antibody is not present (a false positive) is 0.009. Suppose the test is given to five randomly selected people who do not have the antibody (a) What is the probability that the test comes back negative for all five people? (b) What is the probability that the test comes back positive for at least one of the five people? (Round to four decimal places as needed.) (a) P(all 5 tests are negative) (Round to four decimal places as needed.) (b) P(at least one positive)

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.3: Binomial Probability
Problem 25E
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A test to determine whether a certain antibody is present is 99.1% effective. This means that the test will accurately come back negative if the antibody is not present (in the test subject) 99.1% of the time. The
probability of a test coming back positive when the antibody is not present (a false positive) is 0.009. Suppose the test is given to five randomly selected people who do not have the antibody
(a) What is the probability that the test comes back negative for all five people?
(b) What is the probability that the test comes back positive for at least one of the five people?
(Round to four decimal places as needed.)
(a) P(all 5 tests are negative)
(Round to four decimal places as needed.)
(b) P(at least one positive)
Transcribed Image Text:Question Help A test to determine whether a certain antibody is present is 99.1% effective. This means that the test will accurately come back negative if the antibody is not present (in the test subject) 99.1% of the time. The probability of a test coming back positive when the antibody is not present (a false positive) is 0.009. Suppose the test is given to five randomly selected people who do not have the antibody (a) What is the probability that the test comes back negative for all five people? (b) What is the probability that the test comes back positive for at least one of the five people? (Round to four decimal places as needed.) (a) P(all 5 tests are negative) (Round to four decimal places as needed.) (b) P(at least one positive)
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