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 856584: 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 = 88 and standard deviation σ = 27. 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,

mean μ = 88 and standard deviation σ = 27

c)P(60 ≤ x ≤ 110)= normalcdf(60,110,88,27) = normalcdf(smaller, larger, µ, σ).

b)P(x ≤ 110)= normalcdf(-999,110,88,27)  |-999 a place holder for smaller number

a) P(x ≥ 60 = normalcdf(60,999,88,27)  |999 a place holder for larger number

d) P(x ≥ 140 = normalcdf(140,999,88,27)  |999 a place holder for larger number 

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