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A test to determine whether a certain antibody is present is 99.299.2​% effective. This means that...

A test to determine whether a certain antibody is present is

99.299.2​%

effective. This means that the test will accurately come back negative if the antibody is not present​ (in the test​ subject)

99.299.2​%

of the time. The probability of a test coming back positive when the antibody is not present​ (a false​ positive) is

0.0080.008.

Suppose the test is given to

fourfour

randomly selected people who do not have the antibody.​(a) What is the probability that the test comes back negative for all

fourfour

​people?​(b) What is the probability that the test comes back positive for at least one of the

fourfour

​people?

​(a)

Upper P left parenthesis all 4 tests are negative right parenthesisP(all 4 tests are negative)equals=nothing

​(Round to four decimal places as​ needed.)

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