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 5% of the time if the person does not have the virus. (This 5% 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 4 decimals. 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 4 decimals. P(A'|B') =

MATLAB: An Introduction with Applications
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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 5% of the time if the person does not have the virus. (This 5% 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 4 decimals.
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 4 decimals.
P(A'|B') =
Transcribed Image Text: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 5% of the time if the person does not have the virus. (This 5% 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 4 decimals. 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 4 decimals. P(A'|B') =
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