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 Former Smoker Never Smoked 51 33 80 20 3 91 2 (a) What is the probability that a randomly selected U.S. adult is a former smoker? (Give the answer to four decimals places.) 0.3523 (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.) 62
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 Former Smoker Never Smoked 51 33 80 20 3 91 2 (a) What is the probability that a randomly selected U.S. adult is a former smoker? (Give the answer to four decimals places.) 0.3523 (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.) 62
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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Transcribed Image Text: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
51
33
1
Former Smoker
80
20
3
2
Never Smoked
91
1
(a) What is the probability that a randomly selected U.S. adult is a former smoker? (Give the answer to four decimals places.)
0.3523
(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.)
62
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