8. n an experiment to study the collected for 180 individuals: relationship of h
ID: 3072183 • Letter: 8
Question
8. n an experiment to study the collected for 180 individuals: relationship of hypertension and smoking habits, the following data are Nonsmokers 21 48 kerModerate Smokers Heavy Smokers 36 26 30 19 NH where H and NH in the table stand for and individuals is selected at random, find the probability that ypertension and Nonhypertension, respectively. If one of these the person is experiencing hypertension or a heavy smoker. (2-points) a. b. experiencing hypertension given they are nonsmokers. (2-points)Explanation / Answer
Total = 21 + 36 + 30 + 48 + 26 + 19 = 180
a) P(experiencing hypertension or a heavy smoker) = P(experiencing hypertension) + P(a heavy smoker) - P(experiencing hypertension and a heavy smoker) = (21 + 36 + 30) /180 + (30 + 19)/180 - 30/180 = 87/180 + 49/180 - 30/180 = 106/180 = 0.5889
b) P(experiencing hypertension | they are nonsmokers) = P(experiencing hypertension and they are nonsmokers)/P(they are nonsmokers) = 21/(21 + 48) = 21/69 = 0.3043
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