If you had to construct a mathematical model for events E and F, as described in parts (a) through (c), would you assume that they were independent events? Explain your reasoning.
(a) E is the event that a businesswoman has blue eyes, and F is the event that her secretary has blue eyes.
(b) E is the event that a professor owns a car, and F is the event that he is listed in the telephone book.
(c) E is the event that a man is under 6 feet tall, and F is the event that he weighs more than 200 pounds.
(d) E is the event that a woman lives in the United States, and F is the event that she lives in the Western Hemisphere.
(e) E is the event that it will rain tomorrow, and F is the event that it will rain the day after tomorrow.
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