Question 950498: The table summarizes data on smoking status and perceived risk of smoking and is consistent with summary quantities obtained in a Gallup Poll conducted in November 2002. Assume that it is reasonable to consider these data as representative of the U.S. adult population.
Perceived Risk
Smoking Status Very Harmful Somewhat Harmful Not Too Harmful Not at All Harmful
Current Smoker 54 30 5 1
Former Smoker 75 15 3 2
Never Smoked 95 11 2 1
(a) What is the probability that a randomly selected U.S. adult is a former smoker? (Give the answer to four decimals places.)
(b) What is the probability that a randomly selected U.S. adult views smoking as very harmful? (Give the answer to four decimals places.)
(c) What is the probability that a randomly selected U.S. adult views smoking as very harmful given that the selected individual is a current smoker? (Give the answer to four decimals places.)
(d) What is the probability that a randomly selected U.S. adult views smoking as very harmful given that the selected individual is a former smoker? (Give the answer to four decimals places.)
(e) What is the probability that a randomly selected U.S. adult views smoking as very harmful given that the selected individual never smoked? (Give the answer to four decimals places.)
(f) How do the probabilities computed in Parts (c), (d), and (e) compare?
probabilities increase
probabilities decrease
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! The table summarizes data on smoking status and perceived risk of smoking and is consistent with summary quantities obtained in a Gallup Poll conducted in November 2002. Assume that it is reasonable to consider these data as representative of the U.S. adult population.
Perceived Risk
Smoking Status Very /Somewhat/Not Too/Not at All/Totals
Current Smoker 54 30 5 1/ 90
Former Smoker 75 15 3 2/ 95
Never Smoked 95 11 2 1/ 109
Totals.......224/56/10/4..294
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(a) What is the probability that a randomly selected U.S. adult is a former smoker? (Give the answer to four decimals places.):: Ans = 95/294
(b) What is the probability that a randomly selected U.S. adult views smoking as very harmful? (Give the answer to four decimals places.) Ans: 224/294
(c) What is the probability that a randomly selected U.S. adult views smoking as very harmful given that the selected individual is a current smoker? (Give the answer to four decimals places.) Ans = 54/90
(d) What is the probability that a randomly selected U.S. adult views smoking as very harmful given that the selected individual is a former smoker? (Give the answer to four decimals places.) Ans = 75/95
(e) What is the probability that a randomly selected U.S. adult views smoking as very harmful given that the selected individual never smoked? (Give the answer to four decimals places.) Ans = 95/109
(f) How do the probabilities computed in Parts (c), (d), and (e) compare?
Ans:: I'll leave that to you.
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probabilities increase
probabilities decrease
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Cheers,
Stan H.
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