A certain virus infects one in every 150 people. A test used to detect the virus in a person is positive 70% of the time when th
e person has the virus and 15% of the time when the person does not have the virus. (This 15% 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. Here is the formula that we are given for this particular problem:P(A|B)= P(A) x P(B|A) divided byP(A) x P(B|A) + P(A') x P(B|A')
