Book description
This book is designed for engineering students studying for the core paper on probability and statistics. The topics have been dealt in a coherent manner, supported by illustrations for better compre¬hension. Each chapter is replete with examples and exercises. The book also has numerous Multiple Choice Questions at the end of each chapter, thus providing the student with an abundant repository of exam specific problems.
Table of contents
 Title Page
 Roadmap to the Syllabus
 Contents
 Preface
 About the Author
 List of Symbols

1. Probability
 1.1 Introduction
 1.2 Sets and Set Operations
 1.3 Principle of Counting
 1.4 Permutations and Combinations
 1.5 Binomial Expansion
 1.6 Introduction to Probability
 1.7 Axioms of Probability
 1.8 Basic Theorems
 1.9 Conditional Probability and Independent Events
 1.10 Theorem of Total Probability (or the Rule of Elimination)120
 1.11 Bayes’ Theorem or Rule
 Exercises
 Multiple Choice Questions
 Fill in the Blanks
 2. Probability Distribution
 3. Special Distribution

4. Sampling Distributions
 4.1 Introduction
 4.2 Population and Sample
 4.3 Sampling Distribution
 4.4 Sampling Distribution of Means (σ Known)43
 4.5 Sampling Distribution of Proportions
 4.6 Sampling Distribution of Differences and Sums
 4.7 Sampling Distribution of Means (σ Unknown): tDistribution
 4.8 Chisquare (χ2) Distribution
 4.9 Sampling Distribution of Variance σ 2420
 4.10 Snedecor’s FDistribution
 4.11 Fisher’s zDistribution
 Exercises
 Multiple Choice Questions
 Fill in the Blanks
 5. Estimation Theory
 6. Inferences Concerning Means and Proportions
 7. Tests of Significance

8. Curve Fitting: Regression and Correlation Analysis
 8.1 Introduction
 8.2 Linear Regression
 8.3 Regression Analysis
 8.4 Inferences Based on Least Squares Estimation
 8.5 Multiple Regression
 8.6 Correlation Analysis
 8.7 Least Squares Line in Terms of Sample Variances and Covariance
 8.8 Standard Error of Estimate
 8.9 Spearman’s Rank Correlation
 8.10 Correlation for Bivariate Frequency Distribution
 Exercises
 Fill in the Blanks
 9. Analysis of Variance
 10. Statistical Quality Control

11. Queueing Theory
 11.1 Introduction
 11.2 Queues or Waiting Lines
 11.3 Elements of a Basic Queueing System
 11.4 Description of a Queueing System
 11.5 Classification of Queueing Systems
 11.6 Queueing Problem
 11.7 States of Queueing Theory
 11.8 Probability Distribution in Queueing Systems
 11.9 Kendall’s Notation for Representing Queueing Models
 11.10 Basic Probabilistic Queueing Models
 Exercises
 Fill in the Blanks
 Appendix A
 Appendix B
 Appendix C
 Additional Solved Problems
Product information
 Title: Probability and Statistics
 Author(s):
 Release date: April 2015
 Publisher(s): Pearson Education India
 ISBN: 9789332558229
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