A test to determine whether a certain antibody is present is99.8%effective. This means that the test will accurately come back negative if the antibody is not present (in the test subject) 99.8% of the time. The probability of a test coming back positive when the antibody is not present (a false positive) is 0.002, which is 0.2% of the time. Suppose the test is given tofiverandomly selected peoplewho do NOT have the antibody.
What is theprobability that thetest comes back negative for ALLfivepeople?
(Write your answer in decimalsrounded to the nearest four decimal places, if needed)
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