For healthy individuals fasting blood glucose levels are approximately normally distributed with a mean of 85 mg/dl and a standard deviation of 6.4mg/dl. Suppose random samples of size 20 healthy...

For healthy individuals fasting blood glucose levels are approximately normally distributed with a mean of 85 mg/dl and a standard deviation of 6.4mg/dl. Suppose random samples of size 20 healthy individuals are taken from the populatioN.

let random variable X represent a fasting blood glucose level of a healthy Sketch of the distributions for X and the mean

if one healthy individual is selected what is the probability that their fasting blood glucose level is less than 82 mg/dl

If 20 healthy individuals are selected what is the probability that they’re mean fasting blood glucose level is less than 82 mg/dl

If 20 healthy individuals are selected what is the probability that their main fasting blood glucose level is more than 87 mg/dl

The middle 90% of the mean are between what values [with n=20]

Suppose a sample of 100 healthy individuals are selected for a study. What is the probability that their mean glucose level is between 84 and 86 mg/dl