Atest to determine whether a certain antibody is present is 99.7% effective. this means that the test will accurately come back negative if the antibody is not present (in the test subject). the probability of a test coming back positive when the antibody is not present (a false positive) is 0.003. suppose the test is given to seven randomly selected people who do not have the antibody.

The probability that the test comes back negative for all seven people

is

Step-by-step explanation:

Complete question

a) What is the probability that the test comes back negative for all seven people?

Solution -

Give -

The probability of false positive is

As we know that the knowing the result of testing for one individual gives us no information about what the result will be for the next person. Hence, one this is clear that this is an independent event.

Thus, the probabilities of getting a negative test for all seven individuals will be multiplied

Thus, the probability that the test comes back negative for all seven people

is

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