# Contents

Inside Front cover Index of Applications Examples and Exercises

Chapter 1 The Role of Statistics in Engineering

1-1 The Engineering Method and Statistical Thinking

1-2 Collecting Engineering Data

1-2.5 Observing Processes Over Time

1-3 Mechanistic and Empirical Models

1-4 Probability and Probability Models

2-2 Interpretations and Axioms of Probability

2-5 Multiplication and Total Probability Rules

Chapter 3 Discrete Random Variables and Probability Distributions

3-2 Probability Distributions and Probability Mass Functions

3-3 Cumulative Distribution Functions

3-4 Mean and Variance of a Discrete Random Variable

3-5 Discrete Uniform Distribution

3-7 Geometric and Negative Binomial Distributions

3-8 Hypergeometric Distribution

Chapter 4 Continuous Random Variables Probability Distributions

4-1 Continuous Random Variables

4-2 Probability Distributions and Probability Density Functions

4-3 Cumulative Distribution Functions

4-4 Mean and Variance of a Continuous Random Variable

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