The fraction of observations in ideal Gaussian distribution lies within given μ values has to be identified. Concept Introduction: Area under the graph for z >0: The standard normal distribution is symmetric about its mean, z = 0. Also, the total area under the standard normal probability distribution equals 1. Taken together, these two factors imply that the areas on either side of the mean z =0, equal 0.5. Thus, the area to the leftt of z = 0, that is, z < 0 is 0.5. Thus, the area under the graph for z <0 is 0.5.

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Answer 1

Question

Chapter 4, Problem 4.2P

Interpretation Introduction

Interpretation:

The fraction of observations in ideal Gaussian distribution lies within given μ values has to be identified.

Concept Introduction:

Area under the graph for z >0:

The standard normal distribution is symmetric about its mean, z = 0. Also, the total area under the standard normal probability distribution equals 1. Taken together, these two factors imply that the areas on either side of the mean z =0, equal 0.5. Thus, the area to the leftt of z = 0, that is, z < 0 is 0.5. Thus, the area under the graph for z <0 is 0.5.

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Answer 2

Question

Chapter 4, Problem 4.2P

Interpretation Introduction

Interpretation:

The fraction of observations in ideal Gaussian distribution lies within given μ values has to be identified.

Concept Introduction:

Area under the graph for z >0:

The standard normal distribution is symmetric about its mean, z = 0. Also, the total area under the standard normal probability distribution equals 1. Taken together, these two factors imply that the areas on either side of the mean z =0, equal 0.5. Thus, the area to the leftt of z = 0, that is, z < 0 is 0.5. Thus, the area under the graph for z <0 is 0.5.

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Answer 3

Question

Chapter 4, Problem 4.2P

Interpretation Introduction

Interpretation:

The fraction of observations in ideal Gaussian distribution lies within given μ values has to be identified.

Concept Introduction:

Area under the graph for z >0:

The standard normal distribution is symmetric about its mean, z = 0. Also, the total area under the standard normal probability distribution equals 1. Taken together, these two factors imply that the areas on either side of the mean z =0, equal 0.5. Thus, the area to the leftt of z = 0, that is, z < 0 is 0.5. Thus, the area under the graph for z <0 is 0.5.

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Answer 4

Question

Chapter 4, Problem 4.2P

Interpretation Introduction

Interpretation:

The fraction of observations in ideal Gaussian distribution lies within given μ values has to be identified.

Concept Introduction:

Area under the graph for z >0:

The standard normal distribution is symmetric about its mean, z = 0. Also, the total area under the standard normal probability distribution equals 1. Taken together, these two factors imply that the areas on either side of the mean z =0, equal 0.5. Thus, the area to the leftt of z = 0, that is, z < 0 is 0.5. Thus, the area under the graph for z <0 is 0.5.

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Answer 5

Chapter 4, Problem 4.2P

Interpretation Introduction

Interpretation:

The fraction of observations in ideal Gaussian distribution lies within given μ values has to be identified.

Concept Introduction:

Area under the graph for z >0:

The standard normal distribution is symmetric about its mean, z = 0. Also, the total area under the standard normal probability distribution equals 1. Taken together, these two factors imply that the areas on either side of the mean z =0, equal 0.5. Thus, the area to the leftt of z = 0, that is, z < 0 is 0.5. Thus, the area under the graph for z <0 is 0.5.

Answer 6

Chapter 4, Problem 4.2P

Interpretation Introduction

Interpretation:

The fraction of observations in ideal Gaussian distribution lies within given μ values has to be identified.

Concept Introduction:

Area under the graph for z >0:

The standard normal distribution is symmetric about its mean, z = 0. Also, the total area under the standard normal probability distribution equals 1. Taken together, these two factors imply that the areas on either side of the mean z =0, equal 0.5. Thus, the area to the leftt of z = 0, that is, z < 0 is 0.5. Thus, the area under the graph for z <0 is 0.5.

Answer 7

Chapter 4, Problem 4.2P

Interpretation Introduction

Interpretation:

The fraction of observations in ideal Gaussian distribution lies within given μ values has to be identified.

Concept Introduction:

Area under the graph for z >0:

The standard normal distribution is symmetric about its mean, z = 0. Also, the total area under the standard normal probability distribution equals 1. Taken together, these two factors imply that the areas on either side of the mean z =0, equal 0.5. Thus, the area to the leftt of z = 0, that is, z < 0 is 0.5. Thus, the area under the graph for z <0 is 0.5.

Answer 8

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Answer 9

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Answer 10

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Answer 11

Ch. 4 - Prob. 4.1P Ch. 4 - Prob. 4.2P Ch. 4 - Prob. 4.3P Ch. 4 - Prob. 4.4P Ch. 4 - Prob. 4.5P Ch. 4 - Prob. 4.6P Ch. 4 - Prob. 4.8P Ch. 4 - Prob. 4.9P Ch. 4 - Prob. 4.11P Ch. 4 - Prob. 4.12P

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