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In the Framingham study, serum cholesterol levels were measured for a large number of healthy males. The population was then followed for 16 years. At the end of this time, the men were divided into two groups: those who had developed coronary heart disease and those who had not. The distributions of the initial serum cholesterol levels for each group were found to be approximately normal. Among individuals who eventually developed coronary heart disease, the mean serum cholesterol level was ? = 244 mg/100 ml and the standard deviation was ?SD = 51 mg/100 ml; for those who did not develop the disease, the mean serum cholesterol level was ? = 219 mg/100 ml and the standard deviation was ?SD = 41 mg/100 ml.a)Suppose that an initial serum cholesterol level of 260 mg/l00 ml or higher is used topredict coronary heart disease. What is the probability of correctly predicting heartdisease for a man who will develop it?(b)What is the probability of predicting heart disease for a man who will not develop it?(c)What is the probability of failing to predict heart disease for a man who will developit?
