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A lab screens for the COVID-19 virus. A person that carries the virus is screened positive...

A lab screens for the COVID-19 virus. A person that carries the virus
is screened positive in only 95% of the cases. A person who does not
carry the virus is screened positive in 1% of the cases. Given that
0.5% of the population carries the virus, what is the probability that
a person who has been screened positive is actually a carrier? Give
interpretation of your findings.

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