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There is a deadly virus going around, and 1/41/4of the population have it. A test for the virus is developed, but this test is not

There is a deadly virus going around, and 1/41/4of the population have it. A test for the virus is developed, but this test is not perfect. For a person who has the virus, the test has a 95%95% chance of coming out positive. For a person who does not have the virus, the test has a 6%6%chance of coming out positive. A random person from the population takes the test, and it comes out positive. What is the probability that she actually has the virus? Give your answer (which is in the range [0,1][0,1]) to three decimal places.

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