Question
A test to determine whether a certain antibody is present is 99.5% effective. This means that...
A test to determine whether a certain antibody is present is
99.5% effective. This means that the test will accurately come
back negative if the antibody is not present (in the test
subject) 99.5% of the time. The probability of a test coming back
positive when the antibody is not present (a false positive) is
0.005. Suppose the test is given to seven randomly selected people
who do not have the antibody.
(a) What is the probability that the test comes back negative for
all seven people?
(b) What is the probability that the test comes back positive for
at least one of the seven people?
(a) Upper P left (all 7 tests are negative right) = (Round to
four decimal places as needed.)
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