# Probability Normal Distribution

Not what you're looking for? Search our solutions OR ask your own Custom question.

A sample of 100 is taken from a population which has a normal distribution with a mean of 80 and a standard deviation of 40.

What is the probability that the sample mean is between 74 and 81 is?

Â© BrainMass Inc. brainmass.com March 4, 2021, 5:36 pm ad1c9bdddfhttps://brainmass.com/statistics/normal-distribution/probability-normal-distribution-1838

#### Solution Preview

n=100

<br>

<br>X - Normal (mean=80, sd=40)

<br>

<br>Xbar - sample mean

<br>

<br>P(74< Xbar < ...

#### Solution Summary

The solution addresses if a sample of 100 is taken from a population which has a normal distribution with a mean of 80 and a standard deviation of 40. What is the probability that the sample mean is between 74 and 81 is?

$2.49