The table summarlzes data on smoking status and percelved risk of smoking and is

Question

The table summarlzes data on smoking status and percelved risk of smoking and is conslstent with summary quantitles obtalned In a Gallup Poll conducted In November 2002. Assume that t ls reasonable to consider these data as representative of the U.S. adult population Perccived Risk Smoking Status Very Harmful Somewhat Harnful Not Too Harnful Not at All Harnful Current Smoker Former Smoker Never Smoked 51 74 87 25 19 10 (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.) (e) 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 Prts), (d), and (e) compare? probabilities decrease O probabilities increase

Explanation / Answer

From the given data,

a) The probability that a randomly selected US adult is a former smoker is 98/280 = 0.3500

b) The probability that a randomly selected US adult views smoking as very harmful is 212/280 = 0.7571

c) The probability that a randomly select US adult views smoking as very harmful given that the selected individual is a current smoke is

P(very harmful/current smoke) = P(very harmful and current smoke) / P(current smoke)
= (51/280) / (82/280) = 0.62195 = 0.6220

d) P(very harmful/former smoke) = P(very harmful and former smoke) / P(former smoke)
= (74/280) / (98/280) = 0.7551

e) P(very harmful/individual never smoked) = P(very harmful and never smoked) / P(never smoked)
= (87/280) / (100/280) = 0.87

f) Correct Answer: Option (B) probabilities increase

Smoking Status Very Harmful Somewhat Harmful Not too Harmful Not at all Harmful Total Current Smoker 51 25 5 1 82 Former Smoker 74 19 3 2 98 Never Smoker 87 10 2 1 100 Total: 212 54 10 4 280

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.