Question: A test is available for detecting a certain genetic defect that is known to exist in 2% of the population. The test is false positive

A test is available for detecting a certain genetic defect that is known to exist in 2% of the population. The test is false positive 10% of the time but detects true positives with probability .96. What is the probability that a person has the defective gene given that the test results are positive?

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