- Probability and Random Variables
*Events and their probabilities
*Rules of Probability
*Combinatorics
*Conditional probability and independence
- Discrete Random Variables and Their Distributions
- Continuous Distributions
- Stochastic Processes
- Queuing Systems
- Introduction to Statistics
*Population and sample,parameters and statistics
*Simple descriptive statistics
*Graphical statistics
- Statistical Inference
*Parameter estimation
*Confidence intervals
*Unknown standard deviation
*Hypothesis testing
*Inference about variances
*Chi-square tests
*Nonparametric statistics
*Bootstrap
*Bayesian inference
- Regression
*Least squares estimation
*Analysis of variance,prediction,and further inference
*Multivariate regression
*Model building