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)1-20
- 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)4-3
- 4.5 Sampling Distribution of Proportions
- 4.6 Sampling Distribution of Differences and Sums
- 4.7 Sampling Distribution of Means (σ Unknown): t-Distribution
- 4.8 Chi-square (χ2) Distribution
- 4.9 Sampling Distribution of Variance σ 24-20
- 4.10 Snedecor’s F-Distribution
- 4.11 Fisher’s z-Distribution
- 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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