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7. Thirty percent of drivers stopped by police are drunk. The sobriety test is 95% accurate on drunk drivers and 80% accurate on sober drivers.
7. Thirty percent of drivers stopped by police are drunk. The sobriety test is 95% accurate on drunk drivers and 80% accurate on sober drivers. A driver is stopped and fails the sobriety test. (a) What is the probability that the driver is drunk? (b) How many times should the sobriety test be administered to be 99.99993 sure that the drive is drunk? Assume that: when the sobriety test is administered several times: the test results are independent
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