Mathematics, 31.03.2021 01:50 francescanajar5

One% of all individuals in a certain population are carriers of a particular disease. A diagnostic test for this disease has a 95% detection rate for carriers and a 4% detection rate for non-carriers. Suppose the test for this disease is applied independently to two different blood samples from the same randomly selected individual. 1. What is the probability that at most one test is positive ?
2. What is the probability that the selected individual is a carrier if exactly one test is positive?

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