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A certain virus infects one in every 200200 people. A test used to detect the virus...

A certain virus infects one in every

200200

people. A test used to detect the virus in a person is positive

9090​%

of the time when the person has the virus and

1010​%

of the time when the person does not have the virus.​ (This

1010​%

result is called a false

positive​.)

Let A be the event​ "the person is​ infected" and B be the event​ "the person tests​ positive."

​(a) Using​ Bayes' Theorem, when a person tests​ positive, determine the probability that the person is infected.

​(b) Using​ Bayes' Theorem, when a person tests​ negative, determine the probability that the person is not infected.

Math   Statistics-And-Probability   
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