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Magazine Problem 14
Serum cholesterol is an important risk factor for coronary disease. We can show that serum cholesterol is approximately normally distributed, with mean \(=219 \mathrm{mg} / \mathrm{dL}\) and standard deviation \(=50 \mathrm{mg} / \mathrm{dL}\). If the clinically desirable range for cholesterol is \(<200 \mathrm{mg} / \mathrm{dL},\) what proportion of people have clinically desirable levels of cholesterol?
Problem 15
Serum cholesterol is an important risk factor for coronary disease. We can show that serum cholesterol is approximately normally distributed, with mean \(=219 \mathrm{mg} / \mathrm{dL}\) and standard deviation \(=50 \mathrm{mg} / \mathrm{dL}\). Some investigators believe that only cholesterol levels over \(250 \mathrm{mg} / \mathrm{dL}\) indicate a high-enough risk for heart disease to warrant treatment. What proportion of the population does this group represent?
Problem 35
In pharmacologic research a variety of clinical chemistry measurements are routinely monitored closely for evidence of side effects of the medication under study. Suppose typical blood-glucose levels are normally distributed, with mean \(=90 \mathrm{mg} / \mathrm{dL}\) and standard deviation \(=38 \mathrm{mg} / \mathrm{dL}\). Suppose that in a pharmacologic study involving 6000 patients, 75 patients have blood-glucose levels at least 1.5 times the upper limit of normal on one occasion. What is the probability that this result could be due to chance?
Problem 62
A study concemed the risk of cancer among patients with cystic fibrosis [5]. Given registries of patients with cystic fibrosis in the United States and Canada, cancer incidence among cystic-fibrosis patients between January 1,1985 and December \(31,1992,\) was compared with expected cancer-incidence rates based on the Surveillance Epidemiology and End Results program from the National Cancer Institute from 1984 to 1988 . Among cystic-fibrosis patients, 37 cancers were observed, whereas 45.6 cancers were expected. What distribution can be used to model the distribution of the number of cancers among cystic-fibrosis patients?
