Problem 6) One percent of all individuals in a certain population are carriers of a particular disease. A diagnostic test for this disease has a 90% detection rate for carriers and a 5% detection rate for noncarriers. Suppose that the test is applied independently to two blood samples of a same individual. a) What is the probability that both tests yield the same result? b) Given that the result of the first test is positive, what is the probability that the individual is a carrier? c) If both tests are positive, what is the probability that the individual is a carrier?

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