A certain virus infects one in every 150 people. A test used to detect the virus...

A certain virus infects one in every

150

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

80%

of the time when the person has the virus and

55%

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

55%

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.

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orchestra answered 11 months ago

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