The National Safety Council publishes information about automobile accidents in Accident Facts. The first two columns of

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The National Safety Council publishes information about automobile accidents in Accident Facts. The first two columns of the following table provide a percentage distribution of age group for drivers at fault in fatal crashes; the third column gives the percentage of such drivers in each age group with a blood alcohol content (BAC) of 0.10% or greater.

Percentage with BAC of 0.10% or greater Percentage of drivers Age group (yr) 16-20 14.1 12.7 21-24 11.4 27.8 25-34 23.8

Suppose that the report of an accident in which a fatality occurred is selected at random. Determine the probability that the driver at fault

a. Had a BAC of 0.10% or greater, given that he or she was between 21 and 24 years old.

b. Had a BAC of 0.10% or greater.

c. Was between 21 and 24 years old, given that he or she had a BAC of 0.10% or greater.

d. Interpret your answers in parts (a)€“(c) in terms of percentages.

e. Of the three probabilities in parts (a)€“(c), which are prior and which are posterior?

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