Topic Number | Major Topic | Text Chapter | Subtopics |
1 |
Probability Rules |
5 | Definitions |
| The Rules of Probability |
| The Empirical Method |
| The Classical Method |
| Monte Carlo Experiments and Simulation |
| Subjective Probabilities |
2 |
Addition Rules and Compliments |
5 | Disjoint Events |
| The General Addition Rule |
| The Compliment Rule |
3 |
Independence and the Multiplication Rule |
5 | Independence |
| The Multiplication Rule |
| At-least Probabilities |
4 |
Conditional Probability |
5 | Conditional Probabilities |
| The General Multiplication Rule |
5 |
Counting Techniques |
5 | The Multiplication Rule |
| Permutations |
| Combinations |
| Permutations with Nondistinct Items |
| Probabilities Involving Permutations and Combinations |
6 |
Discrete Probability Distributions |
6 | The Mean of a Discrete Probability Distribution |
| The Variance and Standard Deviation of a Discrete Distribution |
7 |
The Binomial and Related Distributions |
6 | Bernoulli Trials |
| The Binomial Distribution |
| The Geometric Distribution |
| The Negative Binomial Distribution |
| The Poisson Distribution |
| The Hypergeometric Distribution |
8 |
Continuous Probability Distributions |
7 | The Normal Distribution |
| The Standard Normal Distribution |
| Cumulative Normal Probabilities |
| Applications of the Normal Distribution |
9 |
Sampling Distributions |
8 | The Sample Mean |
| Sampling from Normal Populations |
| The Central Limit Theorem |
| Sample Proportions |
10 |
Confidence Intervals |
9 | Confidence Intervals for Means - Sigma Known |
| Confidence Intervals for Means - Sigma Unknown |
| Confidence Intervals for Proportions |
11 |
Hypothesis Testing |
10 | Terminology |
| Hypothesis Tests for a Population Mean - Sigma Known |
| Hypothesis Tests for a Population Mean - Sigma Unknown |
| Hypothesis Tests for a Proportion |