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Library | Item Barcode | Call Number | Material Type | Item Category 1 | Status |
|---|---|---|---|---|---|
Searching... | 30000010330676 | QA273.25 M55 2014 | Open Access Book | Book | Searching... |
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Summary
Summary
This is a book of problems in probability and their solutions. The work has been written for undergraduate students who have a background in calculus and wish to study probability.Probability theory is a key part of contemporary mathematics. The subject plays a key role in the insurance industry, modelling financial markets, and statistics in general -- including all those fields of endeavour to which statistics is applied (e.g. health, physical sciences, engineering, economics, social sciences). Every student majoring in mathematics at university ought to take a course on probability or mathematical statistics. Probability is now a standard part of high school mathematics, and teachers ought to be well versed and confident in the subject. Problem solving is important in mathematics. This book combines problem solving and probability.
Table of Contents
| Preface | p. vii |
| Part 1 Problems | p. 1 |
| Chapter 1 Sets, measure and probability | p. 3 |
| 1.1 Notes | p. 3 |
| 1.2 Problems | p. 5 |
| Chapter 2 Elementary probability | p. 13 |
| 2.1 Notes | p. 13 |
| 2.2 Problems | p. 13 |
| Chapter 3 Discrete random variables | p. 25 |
| 3.1 Notes | p. 25 |
| 3.2 Problems | p. 28 |
| Chapter 4 Continuous random variables | p. 37 |
| 4.1 Notes | p. 37 |
| 4.2 Problems | p. 41 |
| Chapter 5 Limit theorems | p. 47 |
| 5.1 Notes | p. 47 |
| 5.2 Problems | p. 47 |
| Chapter 6 Random walks | p. 59 |
| 6.1 Notes | p. 59 |
| 6.2 Problems | p. 60 |
| Part 2 Solutions | p. 65 |
| Chapter 1 Sets, measure and probability | p. 67 |
| Chapter 2 Elementary probability | p. 87 |
| Chapter 3 Discrete random variables | p. 101 |
| Chapter 4 Continuous random variables | p. 121 |
| Chapter 5 Limit theorems | p. 143 |
| Chapter 6 Random walks | p. 167 |
| Bibliography | p. 175 |
| Index | p. 179 |
