SOLUTION: A person's blood glucose level and diabetes are closely related. Let x be a random variable measured in milligrams of glucose per deciliter (1/10 of a liter) of blood. Suppose that

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Question 670648: A person's blood glucose level and diabetes are closely related. Let x be a random variable measured in milligrams of glucose per deciliter (1/10 of a liter) of blood. Suppose that after a 12-hour fast, the random variable x will have a distribution that is approximately normal with mean μ = 84 and standard deviation σ = 20. Note: After 50 years of age, both the mean and standard deviation tend to increase. For an adult (under 50) after a 12-hour fast, find the following probabilities. (Round your answers to four decimal places.)
(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)

Answer by ewatrrr(24785) (Show Source):
You can put this solution on YOUR website!

Hi,
μ = 84 , σ = 20
P(x > 60) = 1 - P() determine P-value from z-value found
P(<110) = P()
P(60< x <110) = P() - P()
P(x > 140) = 1 - P()