Textbook integrating the most important applications of probability to a variety of fields. Includes almost 1000 worked examples of varying difficulty. Uses Mathematica to provide insight into the structure as well as the results of problems. Covers reliability, acceptance sampling, confidence intervals, hypothesis testing, and simple linear regression.
Sample Spaces and Random Variables | Discrete Random Variables and Probability Distributions | Continuous Random Variables and Probability Distributions | Functions of Random Variables, Generating Functions, and Statistical Applications | Bivariate Probability Distributions | Recursions and Markov Chains | Appendix
Probability and Statistics