A certain virus infects one in every 300 people. A test used to detect the virus in a person is positive 80% of the time
Posted: Thu Jul 14, 2022 4:53 pm
A certain virus infects one in every 300 people. A test used todetect the virus in a person is positive 80% of the time if theperson has the virus and 10% of the time if the person does nothave the virus. (This 10% result is called a false positive.) Let Abe the event "the person is infected" and B be the event "theperson tests positive".
a) Find the probability that a person has the virus given thatthey have tested positive, i.e. find P(A|B). Round your answer tothe 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 virusgiven that they test negative, i.e. find P(A'|B'). Round youranswer to the nearest tenth of a percent and do not include apercent sign. P(A'|B') = %
a) Find the probability that a person has the virus given thatthey have tested positive, i.e. find P(A|B). Round your answer tothe 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 virusgiven that they test negative, i.e. find P(A'|B'). Round youranswer to the nearest tenth of a percent and do not include apercent sign. P(A'|B') = %