A police officer stops a speeding driver on a Saturday night and gives the driver a Breathalyzer test. The test shows that the person’s blood alcohol content is above .01, and that is evidence of driving while intoxicated. Assume that a Breathalyzer test has a false positive rate of 3% and a false negative rate of 5%. Also, estimate that on a Saturday night in this town 10% of drivers are driving while intoxicated. What are the chances who a driver who has a positive Breathalyzer test is actually driving while intoxicated?
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