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  3. a certain virus infects one in every 150 people. a

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

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Question

Statistics

A certain virus infects one in every

150

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

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 theevent​ \"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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