Posted by **Kris** on Monday, November 29, 2010 at 11:31pm.

A person’s blood glucose level and diabetesare closely related. Let x be a

random variable measured in milligrams of glucose 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 σ=25.

After 50 years of age, both the mean and the standard deviation tend to increase.

What is the probability that, for an adult (under 50 years old) after 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)?

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