This is volume two of the book entitled “A First Course in Probability Theory”. It is primarily intended for undergraduate students of Statistics and mathematics.

Latest eBooks

About the author

Get ahead at work with our collection of personal development eBooks

Download 1,700+ eBooks on soft skills and professional efficiency, from communicating effectively over Excel and Outlook, to project management and how to deal with difficult people.

- Written by industry-leading experts
- Bite-sized format (1-2hr reading time)
- Easy-to-use and accessible eReader
- Continue reading from where you stopped
- New eBooks added every week

Try business eBooks for free
Then $5.99/mo. Cancel at any time.

Description

Content

This is volume two of the book entitled “A First Course in Probability Theory”. It is primarily intended for undergraduate students of Statistics and mathematics. It can, however, be used by students of Social Sciences and mathematics-related courses.

This volume covers some theoretical probability distributions of discrete and continuous random variables, namely, Bernoulli, Binomial, Geometric, Negative Binomial, Poisson, Hypergeometric, Multinomial, Uniform, Exponential, Gamma, Beta and Normal Distributions. There are relationships among these theoretical distributions and such relationships are established.

The book has a large number of motivating solved examples and contains a lot of exercises at the end of each chapter.

- Preface To The First Edition
- Preface To The Second Edition
- Acknowledgement
- Greek Alphabets
- List Of Mathematical Notations And Conventions
- Bernoulli And Binomial Distributions
- Bernoulli Trial
- Bernoulli Distribution
- Binomial Distribution
- Exercises

- Bernoulli Trial
- Geometric And Negative Binomial Distributions
- Geometric Distribution
- Negative Binomial Distribution
- Exercises

- Geometric Distribution
- Poisson, Hypergeometric And Multinomial Distributions
- Poisson Distribution
- Hypergeometric Distribution
- Multinomial Distribution
- Exercises

- Poisson Distribution
- Uniform, Exponential, Gamma And Beta Distributions
- Uniform Distribution
- Exponential Distribution
- Gamma Distribution
- Beta Distribution
- Exercises

- Uniform Distribution
- Normal Distribution I
- Introduction
- General Normal Distribution
- Standard Normal Distribution
- Standard Normal Tables
- Exercises

- Introduction
- Normal Distribution II
- Introduction
- Calculation Of Standard Scores
- Calculating X Values For Given Probability
- Inverse Function Of Standard Normal Distribution
- Calculations Involving Deviations
- Relationship Between Normal And Other Distributions
- Exercises

- Introduction
- Appendices
- A Statistical Tables
- Cumulative Binomial Distribution
- Cumulative Poisson Distribution
- Hypergeometric Distribution
- Standard Normal Distribution (Full Table)
- Standard Normal Distribution (Half Table)
- Normal Density Function

- Cumulative Binomial Distribution
- Summary Characteristics Of Special Distributions
- Special Discrete Probability Distributions
- Special Continuous Probability Distributions

- Special Discrete Probability Distributions
- Relationships Among Special Probability Distributions
- Answers To Odd-Numbered Exercises
- Bibliography