Question

On a recent holiday evening, a sample of 500 drivers was stopped by the police. Three...

On a recent holiday evening, a sample of 500 drivers was stopped by the police. Three hundred were under 30 years of age. A total of 250 were under the influence of alcohol. Of the drivers under 30 years of age, 200 were under the influence of alcohol. Let A be the event that a driver is under the influence of alcohol. Let Y be the event that a driver is less than 30 years old. (Show work with probability statements for both questions below) a) What is the probability that a driver is under the influence of alcohol and less than 30 years old? b) Are the events “under the influence of alcohol” (A) and “driver is not less than 30 years old” ( C Y ) independent? (show all work clearly… a venn diagram might help)

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