# chap1_2 - 2007 edition ii Contents 1 Introduction to...

• Notes
• 18

This preview shows pages 1–7. Sign up to view the full content.

2007 edition

This preview has intentionally blurred sections. Sign up to view the full version.

ii
Contents 1. Introduction to Probability 1 2. Mathematical Probability Models 5 2.1 Sample Spaces and Probability . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 2.2 Problems on Chapter 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 3. Probability – Counting Techniques 15 3.1 General Counting Rules . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15 3.2 Permutation Rules . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17 3.3 Combinations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21 3.4 Problems on Chapter 3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25 4. Probability Rules and Conditional Probability 29 4.1 General Methods . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29 4.2 Rules for Unions of Events . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31 4.3 Intersections of Events and Independence . . . . . . . . . . . . . . . . . . . . . . . . 35 4.4 Conditional Probability . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 40 4.5 Multiplication and Partition Rules . . . . . . . . . . . . . . . . . . . . . . . . . . . . 41 4.6 Problems on Chapter 4 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 45 5. Review of Useful Series and Sums 51 5.1 Series and Sums . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51 5.2 Problems on Chapter 5 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53 6. Discrete Random Variables and Probability Models 55 6.1 Random Variables and Probability Functions . . . . . . . . . . . . . . . . . . . . . . . 55 6.2 Discrete Uniform Distribution . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 61 6.3 Hypergeometric Distribution . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 62 iii

This preview has intentionally blurred sections. Sign up to view the full version.