The U.S. National Highway Traffic Safety Administration gathers data concerning the causes of highway crashes where at least one fatality has occurred. The following probabilities were determined from the 1998 annual study (BAC is blood-alcohol content).
P(BAC = 0 ｜Crash with fatility) = .616
P(BAC is between .01 and .09 ｜Crash with fatility) = .300
P(BAC is greater than .09 ｜Crash with fatility) = .084
Over a certain stretch of highway during a 1-year period, suppose the probability of being involved in a crash that results in at least one fatility is .01. It has been estimated that 12% of the drivers on this highway drive while their BAC is greater than .09. Determine the probability of a crash with at least one fatility if a driver drives while legally intoxicated(BAC is greater than .09).
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