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.
