   Chapter 8.4, Problem 17E ### 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 ( 13.75 ≤ x ≤ 20 )

To determine

To calculate: The probability Pr(13.75x20) using standard normal distribution if suppose a population x is normally distributed with μ=20 and σ=5.

Explanation

Given Information:

The expression is Pr(13.75x20), 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 probability Pr(13.75x20),

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

So this will convert into:

Pr(13.75205xμσ20205)=Pr(6.255z05)=Pr(1

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