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Suppose that 2% of a population are infected with a potentially fatal and contagious virus. A test for the virus is developed. The test identifies

Suppose that 2% of a population are infected with a potentially fatal and contagious virus. A test for the virus is developed. The test identifies correctly (results in positive result) 99% of those carrying the virus. Of those not infected, the test gives a positive result in 0.5% of cases.

If we randomly select a test, what is the probability that the test is positive? Round to the 4 decimal places.

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