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There is a population where no one has any COVID symptoms. Even though everyone in the...

There is a population where no one has any COVID symptoms. Even though everyone in the population is asymptomatic, in reality 5% of this population is a carrier of the virus.

There is a test that accurately identifies 90% of the people who are carrying the virus. If a person does not carry the virus the test identifies that accurately 85% of the time.

A random person in this population is given the test, and the test comes back positive for the virus.

What is the probability that the person is actually a carrier of the virus?

Math   Statistics-And-Probability   
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