10 Exercise 10 For each part of the problem, are E and F independent events? Bri

Question

10 Exercise 10 For each part of the problem, are E and F independent events? Briefly justify your answers pounds. Bowl, and F is the event that the presidential election is won by the Republican Candidate North America day after tomorrow. a) E is the event that a man is over 6 feet tall, and F is the event that he weighs over 200 b) E is the event that the National Football Conference (NFC) team wins the NFL's Super c) E is the event that a man lives in the United States, and F is the event that he lives in d) E is the event that it will be rainy tomorrow, and F is the event that it will be rainy the

Explanation / Answer

(a) E and F are not independent events as weight is dependant upon height, here F is dependent on event E.

(b) E and F are independent events as if event  E occurs it does not affect the probability of F occurring.

(c) E and F are not independent as North America is in United states and probability of a man living in United states will affect the probability of event F

(d) E and F are not independent as Event F depends upon event E with some probability

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