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Blackboard D efaxcom E-Reserves (E-Res) D faxzero.com goffreefax.com MyUAlbay Podium Net UAlbany Mail PODStat5 6.E.039 he 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 200 easonable 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 52 30 69 20 (a) What is the probability that a randomly selected U.S. adult is a former smoker? (Give the answer to four decimals places.) 0.33 (b) What is the probability that a randomly selected U.S. adult views smoking as very harmful? (Give the answer to four decimals places.) 0.74 (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 answe places 0.59 (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 answen places.) 0.73 (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 f 0.89 (f) How do the probabilities computed in Parts (c), (d), and (e) compare? probabilities increase O probabilities decrease Submit Answer Save Progress 2/2 points 1 Previous Answers PODStat5 6. E 048 My

Explanation / Answer

a) No of views by Former smoker =94

Total number of views= 280

The probability of event occuring= 94 / 280 =0.451923

b) No of viewers as Very harmful= 209

Total number of views= 280

The probability of vent occuring= 209 / 280 = 0.746429

c) P( Very Harmful | Current smoker) = P( VH and CS) / P(CS)

P(CS) = 88/ 280

P(VH and CS) =52 / 280

P( VH | CS) = 52 / 88 =0.590909

d) P(Very Harmful | Former smoker) = P(VH and FS) / P(FS)

P(FS) = 94/280

P(VH and FS) = 69 / 280

P(Vh | FS) = 69 / 94 = 0.734043

e) P(Very Harmful | Never smoke) = P( VH and NS) / P(NS)

P(NS) = 98 / 280

P(VH and NS) =88 /280

P( VH | NS) = 88/ 98 =0.897959

VH SH Not too Not at All Total C S 52 30 5 1 88 F S 69 20 3 2 94 N S 88 7 2 1 98 Total 209 57 10 4 280

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