   Chapter 8.4, Problem 15E ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042

#### Solutions

Chapter
Section ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042
Textbook Problem

# Suppose a population of scores x is normally distributed with μ = 20 and σ = 5. In Problems 15-18, use the standard normal distribution to find the probabilities indicated. Pr ( 20 ≤ x ≤ 22.5 )

To determine

To calculate: The probability Pr(20x22.5) using standard normal distribution if suppose a population of scores x is normally distributed with μ=20 and σ=5.

Explanation

Given Information:

The expression is Pr(20x22.5), and the values are μ=20 and σ=5.

Formula used:

If data for a population are normally distributed, the z score is,

z=xμσ

Where σ is the standard deviation of the population data, x is the number of standard deviation and μ is mean.

Calculation:

Consider the provided expression Pr(20x22.5),

To find the value of provided probability use the formula z=xμσ.

So this will convert into:

Pr(20205xμσ22

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started 