Question

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 = 89 and standard deviation σ = 23. 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 125 (borderline diabetes starts at 125)

Answer 1

Given that, mean = 89 and standard deviation = 23

We want to find, the following probabilities,

a) x is more than 60

Probability is 0.8962

b) x is less than 110

Probability is 0.8186

c) x is between 60 and 110

Probability is 0.7148

d) x is greater than 125

Probability is 0.0582