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2. The table below describes the smoking habits of a group of asthma sufferers.

ID: 2947647 • Letter: 2

Question

2. The table below describes the smoking habits of a group of asthma sufferers. Make sure to label the events and show your work! Occasional Regular Heavy Nonsmoker smoker smoker smoker Total Men431 50 71 49 601 Women 382 813 48 98 86 157 39 Total 1156 (a) If one of the 1156 people is randomly selected, find the probability that the person is a woman or a heavy smoker. (b) If one of the 1156 people is randomly selected, find the probability that the person is a woman or a occasional smoker. (c) If one of the 1156 people is randomly selected, find the probability that the person is a man or a regular smoker.

Explanation / Answer

(a) Probabality (Woman or Heavy smoker)

Total people = 1156

Total Woman = 555

Total heavy Smokers apart from woman = 49

Probabality (Woman or Heavy smoker) = 555+49 / 1156

= 0.5224

(b) Probabality (Woman or occasional smoker)

Total people = 1156

Total Woman = 555

Total occasional Smokers apart from woman = 50

Probabality (Woman or Heavy smoker) = 555+50 / 1156

= 0.5234

(c) Probabality (Man or Regular smoker)

Total people = 1156

Total Men = 601

Total Regular Smokers apart from Men = 86

Probabality (Woman or Heavy smoker) = 601+86 / 1156

= 0.5942

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