Question

The table below describes the smoking habits of a group of asthma sufferers. Occasional Regular Nonsmoker Smoker Smoker Heavy Smoker Total Men 431 50 71 49 601 Women 382 48 86 39 555 Total 813 98 157 88 1156 If one of the 1156 people is randomly selected, find the probability that the person is a rhan or a heavy smoker. Write your answer as a decimal rounded to four places if necessary.

Answer 1

som Let the event A is that the person is men and B be the heavy smoker then Person is a man a man or heavy smoker is AUB and person is man and he heavy smoker is ANB Now, we have to find that the probe person is man on heavy Now we know that probability smoker ie PLAUB) PLAUB) PLAJ +PIB) - PLANB) Scanned by TapScanner

men PLA) = Probability of being total man total person P(A) 60l 1156 P(B) = Probi Probility smo of being heavy oker total heavy smoker total person 88 11 36 P(ANB) = Probility of being total heavy smoker in man man and heavy smoker total person ug = 1156 SO PLAUB) = 60) 88 + 49 1156 1956 1/ 56 640 1156 = 0,5536 so, the probility that person is man or a heavy smoker iß 0.5536, Scanned by TapScanner