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A person's blood glucose level and diabetes are closely related. Let x be a random variable...

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Statistics

A person's blood glucose level and diabetes are closely related.Let x be a random variable measured in milligrams ofglucose per deciliter (1/10 of a liter) of blood. Suppose thatafter a 12-hour fast, the random variable x will have adistribution that is approximately normal with mean μ = 90and standard deviation σ = 30. Note: After 50years of age, both the mean and standard deviation tend toincrease. For an adult (under 50) after a 12-hour fast, find thefollowing probabilities. (Round your answers to four decimalplaces.)

(a) x is more than 60


(b) x is less than 110


(c) x is between 60 and 110


(d) x is greater than 125 (borderline diabetes starts at125)

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