Question: Suppose after suffering for several months, scientists have a test for COVID-24 in 2025, which has the lab data satisfying P(+|sick) = 0.9 and P(|healthy)

Suppose after suffering for several months, scientists have a test for COVID-24 in 2025, which has the lab data satisfying P(+|sick) = 0.9 and P(|healthy) = 0.85. Now, if the prevalence of COVID-24 in Country U is 25% and if you get a negative test result in Country U, what is the probability that you are sick?

If the prevalence of COVID-24 in Country J is 1% and if you get a negative test result in Country J, what is the probability that you are sick?

Similarly, if you get a positive test result, what is the probability that you get COVID-24 in each country?

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