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1. The table below describesthe smoking habits of a group of asthma sufferers. N

ID: 2913616 • Letter: 1

Question

1. The table below describesthe smoking habits of a group of asthma sufferers.

      Nonsmoker      Occasional      Regular      Heavy       Total

            _________      Smoker      Smoker       Smoker_______

Men      424     39      72     36      571

Women     360      46     77      44     527_

Total     784      85     149      80     1098

a. If one of the people israndomly selected, find the probability of getting someone who is aregular or heavy smoker. (5 points)

b. If one of the people israndomly selected, find the probability the person is a nonsmokergiven the person is a woman. (5 points)

c. Assuming we were to considera random sample of 15,000 people, how many would you predict arewomen and heavy smokers based on the results given here? (5points)

Explanation / Answer

a. the probability( getting someone who is a regular or heavysmoker )=            = (number of regular smokers+number of heavy smokers) /total number of persons          =  (149+80) / 1098           =     0.2086 b) probability the person is a nonsmoker given the personis a woman =         = number of womennon somkers / total number of women         = 360 /527        =   0.68311 c)  Assuming we were to consider a random sample of15,000 people, how many would you predict are women and heavysmokers based on the results given here P(women and heavy smokers) =number of women heavy smokers/total number of women                                              = 44/527                                               = 0.0835 for a random sample of 15000 people, the predicted number ofwomen heavy smokers = 15000*0.0835                                                                                                                                     = 1252.5                                                                                                                                     =1253