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Data show that 0.5 percent of the populations who live in an isolated island are infected by a rare virus. Scientists have developed a test.

Data show that 0.5 percent of the populations who live in an isolated island are infected by a rare virus. Scientists have developed a test. Lab data show that the test is positive for 97 percent of those who are infected by the virus and is positive for 4 percent of those who are not infected by the virus.

What is the probability that a randomly selected person who tested positive is not infected by the virus? (Only round the final answer to three decimal places. For example, if the final answer is 0.0879, round it to 0.088)

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