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') =

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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A certain virus infects one in every 300 people. A test used to detect the virus in a person is positive
90% of the time if the person has the virus and 8% of the time if the person does not have the virus.
(This 8% 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') =
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Transcribed Image Text:00 %24 A certain virus infects one in every 300 people. A test used to detect the virus in a person is positive 90% of the time if the person has the virus and 8% of the time if the person does not have the virus. (This 8% 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') = Question Help: DVideo Submit Question O Type here to search 直 a. 12 %23 ger caps lock G) alt uf
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