A drug test has a false positive result – comes out positive given the per-
son did not use illegal drugs – 5% of the time. Also, the drug test has a false
negative result – comes out positive given the person did not use illegal
drugs – 11% of the time. 9.4% of the US population have used illegal drugs
in the past month.
a) What is the probability that a person has used illegal drugs given that
the test comes out positive?
b) What is the probability that a person has not used illegal drugs given
that the test comes out negative?
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