Question

A person's level of blood glucose 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 = 76 and standard deviation of σ = 23 What is the probability that, for an adult after a 12-hour fast, x is less than 122? Round your answer to the nearest thousandth.

0.011

0.489

0.477

0.977

0.023

Answer 1

Solution :

Given that ,

mean = = 76

standard deviation = = 23

P(x < 122) = P((x - ) / < (122 - 76 ) / 23)

= P(z < 2)

= 0.977 Using standard normal table,

Probability = 0.977

Answer is 0.977