In: Statistics and Probability
A given drug test has 5% false positives and 2% false negatives. The state has 10% of drug users.
a) If the person tests negative, what is the probability that the person is a drug user?
b) What is the probability of a non-drug user tests negative twice in a row with independent tests?
c) What is the probability of someone testing twice negative in a row is a non-drug user?