References

Preface
1 Randomness and Probability
2 Working with Probabilities
3 Interpreting Probabilities
4 Probability Models: Outcomes, Events, Random Variables, and Probability Measures
5 Introduction to Simulation
6 Conditioning
7 Marginal Distributions
8 Averages and Standard Deviation
9 Joint Distributions and Correlation
10 Conditional Distributions
11 Multiplication Rule and Law of Total Probability
12 Bayes Rule
13 Independence
14 Equally Likely Outcomes, Counting Rules, and Uniform Probability Meaures
15 Discrete Random Variables: Probability Mass Functions
16 Continuous Random Variables: Probability Density Functions
17 Cumulative Distribution Functions and Quantile Functions
18 Distributions of Transformations of Random Variables
19 Joint Distributions
20 Conditional Distributions
21 Expected Value
22 Variance and standard deviation
23 Covariance and Correlation
24 Expected Values of Linear Combinations of Random Variables
25 Conditional Expected Value
26 Binomial and Negative Binomial Distributions
27 Poisson Distributions
28 Exponential Distributions
29 Normal Distributions
30 Joint Normal Distributions
31 Central Limit Theorem
References
Appendices
- Some Problem-Solving Strategies
- Summary of Some Common Distributions