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?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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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?
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