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A breathalyzer for alcohol concentration was used on a suspected drunk driver. The test is known...

A breathalyzer for alcohol concentration was used on a suspected drunk driver. The test is known to provide a positive result in 95% of cases where the alcohol concentration is above the legal limit (intoxicated) . However it is known that the test provides a positive outcome on 4% of individuals who had not consumed alcohol (false positives). What is the probability that the driver is intoxicated given a positive to the test?

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propotion 0.04 +0.91p. PC Intoxicated let p be that intoxicated. PC test positive) - PC0.95) + (-p) (0.04). p xo.95 DOU + 0.

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