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A test for a disease gives an answer "Positive" or "Negative". Because of experimental error, the...

A test for a disease gives an answer "Positive" or "Negative". Because of experimental error, the test gives an incorrect answer with probability 1/4. That is, if the person has the disease, the outcome is negative with probability 1/4 and if the person does not have the disease, the outcome is positive with probability 1/4. You can assume that the probability an error is made in one test is independent of the outcomes of any other tests. In order to improve the probability of getting the correct answer, the test is run n times and the majority outcome is used as the final answer. If n = 3, what is the probability of getting the wrong answer? What about n = 5?

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