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. after a 12-hour fast, the random variable x will have a distribution that is approximately normal with mean m 85 and standard deviation s 25 (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,

Question

Mathematics

Isabela Santiago

20 February, 12:19

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. after a 12-hour fast, the random variable x will have a distribution that is approximately normal with mean m 85 and standard deviation s 25 (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,

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Shirley Wallace · Answer 1

Let x be the number of adults (under 50 years old) after a 12-hour fast where X ~ N (85,25)

The problem is missing some parts but here are the answers:

(a) x is more than 60

z (60) = (60-85) / 25 = - 1

P (x > 60) = P (z > - 1) = 0.158655

(b) x is less than 110

z (110) = (110-85) / 25 = 1

P (x < 110) = P (z < 1) = 0.841345