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

A certain virus infects one in every 1 50 people A test used to detect the virus in a person is positive 80% of the time when the person has the virus and 10% of the time when the person does not have the virus. (This 10% 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.