Solution Found!
If you had to construct a mathematical model for events E
Chapter 3, Problem 54P(choose chapter or problem)
Problem 54P
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.
Questions & Answers
QUESTION:
Problem 54P
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.
ANSWER:
Step 1 of 6
From the given information we have two events, They are E and F.
We need to check whether E and F are independent or not.