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

1-2.1 Basic Principles

1-2.2 Retrospective Study

1-2.3 Observational Study

1-2.4 Designed Experiments

1-2.5 Observing Processes Over Time

1-3 Mechanistic and Empirical Models

1-4 Probability and Probability Models

Chapter 2 Probability

2-1 Sample Spaces and Events

2-1.1 Random Experiments

2-1.2 Sample Spaces

2-1.3 Events

2-1.4 Counting Techniques

2-2 Interpretations and Axioms of Probability

2-3 Addition Rules

2-4 Conditional Probability

2-5 Multiplication and Total Probability Rules

2-6 Independence

2-7 Bayes' Theorem

2-8 Random Variables

Chapter 3 Discrete Random Variables and Probability Distributions

3-1 Discrete Random Variables

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

3-6 Binomial Distribution

3-7 Geometric and Negative Binomial Distributions

3-7.1 Geometric Distribution

3-8 Hypergeometric Distribution

3-9 Poisson 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

4-5 Continuous Uniform Distribution

4-6 Normal Distribution ...

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