Book edition OER 2018

Author(s) Barbara Illowsky, Susan Dean

Pages 902 pages

ISBN 9781938168208

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Short Answer

Is X~N( $0, 1$ ) a standardized normal distribution? Why or why not?

It is clear that X follows standard deviation distribution because its mean is zero and the standard deviation is $1$ .

Hence, X $~$ N( $0, 1$ ) is a standard normal distribution.

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1: Given Information

Given the value that, X $~$ N( $0, 1$ )

Step 2: Explanation

If a normal distribution is standardized then normal distribution will evolve standard normal distribution and then it can be defined as below:

Z $~$ N( $0, 1$ )

Where,

$μ = 0$

$σ = 1$

It is given that X follows normal distribution such that,

X $~$ N( $0, 1$ )

So, it is clear that X follows standard deviation distribution because its mean is zero and the standard deviation is $1$ .

Hence, X $~$ N( $0, 1$ ) is standard normal distribution.

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Short Answer

Is X~N( $0, 1$ ) a standardized normal distribution? Why or why not?

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Step 1: Given Information

Step 2: Explanation

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Short Answer

Is X~N(0,1) a standardized normal distribution? Why or why not?

Step by Step Solution

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Step 2: Explanation

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Is X~N( $0, 1$ ) a standardized normal distribution? Why or why not?