A Gallup Poll conducted in November 2002 examined how people
perceive the risks associated with smoking. The following table
summarizes the data on smoking status and perceived risk of
smoking.
Perceived Risk Smoking Status Very Harm Somewhat Harmful Not Too
Harmful Not at All Harmful Current Smoker 60 30 5 1 Former Smoker
78 16 3 2 Never Smoke 86 10 2 1
(a) What is the probability that a randomly selected US adult is a
former smoker? (b) What is the probability that a randomly selected
US adult views smoking as very harmful? (c) What is the probability
that a randomly selected US adult views smoking as very harmful
given that the selected individual is a current smoker?
| very harm | somewhat | not too | not at all | total | |
| current | 60 | 35 | 5 | 1 | 101 |
| former | 78 | 16 | 3 | 2 | 99 |
| never | 86 | 10 | 2 | 1 | 99 |
| total | 224 | 61 | 10 | 4 | 299 |
a()
probability that a randomly selected US adult is a former smoker =99/299 =0.3311
b)
probability that a randomly selected US adult views smoking as very harmful =224/299 =0.7492
c)
probability that a randomly selected US adult views smoking as very harmful given that the selected individual is a current smoker =60/101 =0.5941
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