The percentages are probabilities of 15-year survival without coronary heart disease, stroke, or diabetes in men aged 50 years with selected combinations of risk factors. Here "BMI" stands for body mass index, an index of weight adjusted for height. The World Health Organization gives the following classifications: "normal" 18.5 to 24.9; "grade 1 overwe ight" 25.0 to 29.9; "grade 2 overweight" 30.0 to 39.9; "grade 3 overwe ight" 40.0 or higher. BMI 20-24 BMI 25-30 BMI 30+ normal somewhat very weight overweight overweight Active Inactive Active Inactive Active Inactive Never 77% 78% 67% moked Former 78% 71% 72% 59% smokers Current 77% 67% 70% 56% S8% 42% mokers (a) What is the probability that a 50-year-old man will not survive to age 65 without coronary heart disease, stroke, or diabetes if he smokes, is somewhat overweight, but is active? Write your answer as a percentage. (b) A 50-year-old man who has never smoked, has normal weight, and is active has a much higher probability of being healthy than a man who smokes, is very overweight, and is inactive. Is the probability twice as high, less thantwice as high, or more than twice as high? (c) A man who used to smoke and who is very overweight and inactive is considering either starting an exercise programor dieting to lose enough weight to be somewhat overweight-but not both. According to the table, which choice would be better?

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The percentages are proba bilities of 15-year survival without coronary heart disease, stroke, or
diabetes in men aged 50 years with selected combinations of risk factors. Here "BMI" stands for
body mass index, an index of weight adjusted for height. The World Health Orga nization gives
the following classifications: "normal" 18.5 to 24.9; "grade 1 overwe ight" 25.0 to 29.9; "grade 2
overweight" 30.0 to 39.9; "grade 3 overweight" 40.0 or higher.
BMI 20-24
BMI 25-30
BMI 30+
normal
somewhat
very
weight
overweight
overweight
Active
Inactive
Active
Inactive
Active
Inactive
Never
89%
83%
85%
77%
78%
67%
smoked
Former
78%
81%
71%
72%
59%
smokers
Current
77%
67%
70%
56%
58%
42%
smokers
(a) What is the probability that a 50-year-old man will not survive to age 65 without coronary
heart disease, stroke, or diabetes if he smokes, is somewhat overweight, but is active? Write
your answer as a percentage.
(b) A 50-year-old man who has never smoked, has normal weight, and is active has a much
higher probability of being healthy than a man who smokes, is very overweight, and is inactive.
Isthe probability twice as high, less thantwice as high, or more than twice as high?
(c) A man who used to smoke and who is very overweight and inactive is considering either
starting an exercise programor dieting to lose enough weight to be some what overweight-but
not both. According to the table, which choice would be better?
Transcribed Image Text:The percentages are proba bilities of 15-year survival without coronary heart disease, stroke, or diabetes in men aged 50 years with selected combinations of risk factors. Here "BMI" stands for body mass index, an index of weight adjusted for height. The World Health Orga nization gives the following classifications: "normal" 18.5 to 24.9; "grade 1 overwe ight" 25.0 to 29.9; "grade 2 overweight" 30.0 to 39.9; "grade 3 overweight" 40.0 or higher. BMI 20-24 BMI 25-30 BMI 30+ normal somewhat very weight overweight overweight Active Inactive Active Inactive Active Inactive Never 89% 83% 85% 77% 78% 67% smoked Former 78% 81% 71% 72% 59% smokers Current 77% 67% 70% 56% 58% 42% smokers (a) What is the probability that a 50-year-old man will not survive to age 65 without coronary heart disease, stroke, or diabetes if he smokes, is somewhat overweight, but is active? Write your answer as a percentage. (b) A 50-year-old man who has never smoked, has normal weight, and is active has a much higher probability of being healthy than a man who smokes, is very overweight, and is inactive. Isthe probability twice as high, less thantwice as high, or more than twice as high? (c) A man who used to smoke and who is very overweight and inactive is considering either starting an exercise programor dieting to lose enough weight to be some what overweight-but not both. According to the table, which choice would be better?
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