Medical: Blood Glucose A person's blood glucose level and diabetes are closely related. Let x be a random variable measured in milligrams of glu- cose per deciliter (1/10 of a liter) of blood. After a 12-hour fast, the random variable x will have a distribution that is approximately normal with mean µ = 85 and standard deviation o = 25 (Source: Diagnostic Tests with Nursing Implications, edited by S. Loeb, Springhouse Press). Note: After 50 years of age, both the mean and standard deviation tend to increase. What is the probability that, for an adult (under 50 years old) after a 12-hour fast, (a) x is more than 60? (b) x is less than 110? (c) x is between 60 and 110? (d) x is greater than 140 (borderline diabetes starts at 140)? ) P (x ) P (x. O P ) P (x_

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