A certain virus infects one in every 200 people. A test used to detect the virus in a person is positive 90% of the time when the person has the virus and 5% of the time when the person does not have the virus. Let A be the person infected and B be the person tests positive.  a- using Bayes Theorem when a person tests positive determine the probabilty the person is infected.  b- using Bayes Theorem when a person tests negative determine the probability the person is not infected.

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A certain virus infects one in every 200 people. A test used to detect the virus in a person is positive 90% of the time when the person has the virus and 5% of the time when the person does not have the virus. Let A be the person infected and B be the person tests positive. 

a- using Bayes Theorem when a person tests positive determine the probabilty the person is infected. 

b- using Bayes Theorem when a person tests negative determine the probability the person is not infected. 

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