   Chapter 8.4, Problem 24E ### 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 = 110 and σ = 12. In Problems 23-26, use the standard normal distribution to find the probabilities indicated. Pr ( x < 88 )

To determine

To calculate: The probability Pr(x<88) by using standard normal distribution if suppose a population x is normally distributed with μ=110 and σ=12.

Explanation

Given Information:

The expression is Pr(x<88), the values are μ=110 and σ=12.

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 probability Pr(x<88),

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

So this will convert into:

Pr(xμσ<8811012)=Pr(z<2212)=Pr(z<1.83)

As normal distribution is symmetric about mean 0

### 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

#### Find more solutions based on key concepts 