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A newly developed test for coronavirus has sensitivity 0.90 and specificity 0.85. Sensitivity is the probability...

A newly developed test for coronavirus has sensitivity 0.90 and specificity 0.85. Sensitivity is the probability of a positive result given that a person has the virus, and specificity is the probability of a negative result given that a person has no virus. Suppose that 12% of the population has the coronavirus. If the test gives you a positive result, what is the probability that you actually have the virus? Show your work.

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