Question

The table summarizes data on smoking status and perceived risk of smoking and is consistent with...

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 57 33 5 1
Former Smoker 65 17 3 2
Never Smoked 83 9 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 increaseprobabilities decrease    

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

Answer)

Probability = favorable/total

Total = 57 + 33+ 5 + 1 + 65 + 17... = 278

A)

Favorable = former smoker = 65 + 17 + 3 + 2 = 87

Probability = 87/278 = 0.31294964028

B)

Favorable = very harmful = 57 + 65 + 83 = 205

Probability = 205/278 = 0.73741007194

C)

Total = given that individual is a current smoker 57+33+5+1 = 96

Favorable = very harmful = 57

Probability = 57/96 = 0.59375

D)

Total = former smoker = 65+17+3+2 = 87

Favorable = very harmful = 65

Probability = 65/87 = 0.74712643678

E)

Total = never smoked = 83+9+2+1 = 95

Favorable = 83

Probability = 83/95 = 0.87368421052

F)

Probability is increasing

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