A certain virus infects one in every 200 people. A test used

Last updated: 7/13/2022

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 if the person has the virus and 10% of the time if 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) Find the probability that a person has the virus given that they have tested positive, i.e. find P(A|B). Round your answer to the nearest tenth of a percent and do not include a percent sign. P(A|B)= b) Find the probability that a person does not have the virus given that they test negative, i.e. find P(A' |B'). Round your answer to the nearest tenth of a percent and do not include a percent sign. P(A' |B')=