Chapter 9 Probability and Integration
- About this Chapter
- Section 9.1 Reliability Theory: How Long Do Things Last?
9.1.1 Modeling Failure Data- 9.1.2 Expected Lifetimes: Discrete Approximation
- 9.1.3 Expected Lifetimes: Continuous Case
- Section Summary
- Exercises
- Section 9.2 Improper Integrals
- 9.2.1 Integrating to Infinity
- 9.2.2 Notation for Limiting Values
- 9.2.3 A Geometric Look at Failure Times
- 9.2.4 More Improper Integrals
- Section Summary
- Exercises
- Section 9.3 Continuous Probability
- 9.3.1 Distribution and Density Functions
- 9.3.2 Histograms and Bell-Shaped Curves
- 9.3.3 Mean, Variance, and Standard Deviation
- 9.3.4 Standardized Data and the Standard Normal Distribution
- 9.3.5 Normal Probabilities
- 9.3.6 The Error Function
- Section Summary
- Exercises
- Chapter Summary
- Chapter Review
- Concepts and Applications
- Formulas