Question

Statistics and probability: If the glucose level is above 160mg per dl one hour after a sugary drink, Sheila's measured glucose level one hour after the sugary drink varies according to the normal distribution with the mean being 145mg/dl and a standard deviation of 11mg/dl. If a single glucose measurement is made, what is the probability that Sheila is diagnosed with gestational diabetes?

Answer 1

0.0863

Explanation:

Given that:

The mean =145

The standard deviation = 11

To find P(X ≥ 160) :

Z = (x - μ)/σ

Z = 160 - 145/ 11

Z = 1.364

From the standard normal z table

Thus;

P(X ≥ 160) = 1- P(Z < 1.364)

P(X ≥ 160) = 1 - 0.9137

P(X ≥ 160) = 0.0863