Benefits of Exercise According to a study in The New England Journal of Medicine, 86 202 of a sample of 5,990 middle-aged men had developed diabetes. It also found that men who were very active (burning about 3,500 calories daily) were half as likely to develop diabetes compared with men who were sedentary. Assume that one third of all middleaged men are very active, and the rest are classified as sedentary. What is the probabilitythat a middle-aged man with diabetes is very active?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.3: Conditional Probability; Independent Events; Bayes' Theorem
Problem 65E
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Benefits of Exercise According to a study in The New England Journal of Medicine, 86 202 of a sample of 5,990 middle-aged men had developed diabetes. It also found that men who were very active (burning about 3,500 calories daily) were half as likely to develop diabetes compared with men who were sedentary. Assume that one third of all middleaged men are very active, and the rest are classified as sedentary. What is the probability
that a middle-aged man with diabetes is very active?

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