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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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)?
a) P (x.
) Р(х.
E) P L X
d) P (x
II
Il ||
Transcribed Image Text: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)? a) P (x. ) Р(х. E) P L X d) P (x II Il ||
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