[See Steps] Sixty percent of the employees in a certain department are female. One third of the females drive foreign cars, the rest drive domestic cars.
Question: (20 points) Sixty percent of the employees in a certain department are female. One third of the females drive foreign cars, the rest drive domestic cars. Twenty-five percent of the males in the department drive foreign cars. One person is randomly selected from the departmental files. Use this information to construct a probability table, and then calculate each of the following probabilities:
- P(foreign car). (5 points.)
- P(female and domestic car). (5 points.)
- P(male/domestic car). (5 points.)
- Are the events female and foreign car owner independent? Why or why not? (5 points.)
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