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There are many tests currently available for the coronavirus, and some tests are more accurate than others. For each test, a positive result indicates that

There are many tests currently available for the coronavirus, and some tests are more accurate than others. For each test, a positive result indicates that coronavirus was found and a negative result indicates that coronavirus was not found. Suppose a person is tested using one of these tests. If the person has coronavirus, the probability the test will return a positive result is 0.85. If the person does not have coronavirus, the probability that the test will return a negative result is 0.90.

Although the true value is unknown, we will assume that 5% of the population has the coronavirus.

If a test returns a positive result, what is the probability that the person actually has the coronavirus?

(Please round to 3 decimals.)

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