| TOPIC | TEXT BY ROSS
| STUDY GUIDE |
| Introduction & Sample Space and
Events
| § 1.1-1.2 |
§ I.1-I.2
§ I.3
|
| Probabilities | § 1.3
| § I.4-I.5 |
| Conditional Probabilities
| § 1.4 |
§ I.5 |
| Independent Events |
§ 1.5 | § I.5
|
| Bayes' Formula | § 1.6
| § I.5 |
| Random Variables | § 2.1
| § II.2-II.3
|
| Discrete Random Variables
| § 2.2 |
§ II.1 Discrete Mathematics,
Binomial Theorem,
Geometric Series,
Maclaurin Series
|
| Continuous Random Variables
| § 2.3 |
§ II.1 The Derivative of a Function,
Derivatives of the Composite Functions, The Definite Integral,
Antidifferentiation, Evaluation of the Integrals, Methods of Integration,
Some Special Functions
|
| Expectation of a Random Variable
| § 2.4 |
§ II.1 Evaluation of the Definite
Integrals by Using Antiderivatives, Methods of Integration
|
| Jointly Distributed Random Variables
| § 2.5 |
§ II.1 Some Results Involving
Multivariate Calculus
|
| Moment Generating Functions
| § 2.6 |
§ II.1 Methods of Integration, Some
Results Involving Limits
|
| Limit Theorems | § 2.7
| § II.1 Some Results Involving
Limits
|
| Conditional Probability &
Conditional Expectation
| Chapter 3 | § II.1
|
| Markov Chains | Chapter 4
| § I.6 & II.1
|
| The Exponential Distribution & the
Poisson Process
| Chapter 5 | § II.1
|
