A test to determine whether a certain antibody is present is 99.6% effective. This means that the test will accurately come back negative if the antibody is not present (in the test subject) 99.6% of the time. The probability of a test coming back positive when the antibody is not present (a false positive) is 0.004. Suppose the test is given to four randomly selected people who do not have the antibody. (a) What is the probability that the test comes back negative for all four people? (b) What is the probability that the test comes back positive for at least one of the four people? (a) P(all 4 tests are negative) = (Round to four decimal places as needed.) (b) P(at least one positive) = (Round to four decimal places as needed.)

A test to determine whether a certain antibody is present is 99.6% effective. This means that the test will accurately come back negative if the antibody is not present (in the test subject) 99.6% of the time. The probability of a test coming back positive when the antibody is not present (a false positive) is 0.004. Suppose the test is given to four randomly selected people who do not have the antibody. (a) What is the probability that the test comes back negative for all four people? (b) What is the probability that the test comes back positive for at least one of the four people? (a) P(all 4 tests are negative) = (Round to four decimal places as needed.) (b) P(at least one positive) = (Round to four decimal places as needed.)

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A test to determine whether a certain antibody is present is 99.6% effective. This means that the test will accurately come back negative if the antibody is not present (in the test subject) 99.6% of the time. The probability of a test coming back positive when the
antibody is not present (a false positive) is 0.004. Suppose the test is given to four randomly selected people who do not have the antibody.
(a) What is the probability that the test comes back negative for all four people?
(b) What is the probability that the test comes back positive for at least one of the four people?
(a) P(all 4 tests are negative) = (Round to four decimal places as needed.)
(b) P(at least one positive) =
(Round to four decimal places as needed.)

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