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INSIDE FRONT COVER Index of Applications in 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
2-1.4 Counting Techniques
2-2 Interpretations and Axioms of Probability
2-3 Addition Rules
2-4 Conditional Probability
2-5 Multiplication and Total Probability Rules
2-7 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
3-8 Hypergeometric Distribution
3-9 Poisson Distribution
CHAPTER 4 Continuous Random Variables and 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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