   Chapter 8.4, Problem 26E ### 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>96 )

To determine

To calculate: The probability Pr(x>96) by using standard normal distribution if the population x is normally distributed with μ=110 and σ=12.

Explanation

Given Information:

The expression is Pr(x>96), and 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>96),

The mean and standard deviation is;

μ=110 and σ=12

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

So Pr(x>96) will convert into:

Pr(xμσ>9611012)=Pr(z>1412)=Pr(z>1

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