Probability and Statistics.

Format:

Book

Author/Creator:

Reddy, E. Keshava.

E. Keshava Reddy

Series:

Always learning.

Always learning

Language:

English

Subjects (All):

Mathematical statistics--Textbooks.

Mathematical statistics.

Probabilities--Textbooks.

Probabilities.

Physical Description:

1 online resource (397 pages)

Edition:

1st ed.

Place of Publication:

Noida : Pearson India, 2015.

Summary:

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.

Contents:

Probability and Stastics

Roadmap to the Syllabus

Contents

List of Symbols

Chapter 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)

1.11 Bayes' Theorem or Rule

Exercises

Multiple Choice Questions

Fill in the Blanks

Chapter 2 Probability Distribution

2.1 Introduction

2.2 Random Variables

2.3 Probability Distribution

2.4 Expectation or Mean or Expected Value

2.5 Variance and Standard Deviation

2.6 Probability Density Functions

2.7 Chebyshev's Theorem

Chapter 3 Special Distribution

3.1 Introduction

3.2 Binomial (Bernoulli) Distribution

3.3 Poisson Distribution

3.4 Uniform Distribution

3.5 Exponential Distribution

3.6 Normal Distribution

Chapter 4 Sampling Distributions

4.1 Introduction

4.2 Population and Sample

4.3 Sampling Distribution

4.4 Sampling Distribution of Means (σ Known)

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 s 2

4.10 Snedecor's F-Distribution

4.11 Fisher's z-Distribution

Chapter 5 Estimation Theory

5.1 Introduction

5.2 Statistical Inference

5.3 Point Estimation

5.4 Interval Estimation

5.5 Bayesian Estimation

Fill in the Blanks.

Chapter 6 Inferences Concerning Means and Proportions

6.1 Introduction

6.2 Statistical Hypotheses

6.3 Tests of Hypotheses and ­Significance

6.4 Type I and Type II Errors

6.5 Levels of Significance

6.6 Statistical Test of Hypothesis Procedure

6.7 Reasoning of Statistical Test of Hypothesis

6.8 Inference Concerning Two Means

Chapter 7 Tests of Significance

7.1 Introduction

7.2 Test for One Mean (Small Sample)

7.3 Test for Two Means

7.4 Test of Hypothesis

7.5 Analysis of r × c Tables (Contingency Tables)

7.6 Goodness-of-Fit Test: χ2 ­Distribution

7.7 Estimation of Proportions

Chapter 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

Chapter 9 Analysis of Variance

9.1 Analysis of Variance (ANOVA)

9.2 What is ANOVA?

9.3 The Basic Principle 0f Anova

9.4 Anova Technique

9.5 Setting Up Analysis of Variance Table

9.6 Shortcut Method For One-Way Anova

9.7 Coding Method

9.8 Two-Way Anova

9.9 Anova in Latin-Square Design

Chapter 10 Statistical Quality Control

10.1 Properties of Control Charts

10.2 Shewhart Control Charts for Measurements

10.3 Shewhart Control Charts for Attributes

10.4 Tolerance Limits

10.5 Acceptance Sampling

10.6 Two-stage Acceptance Sampling

Chapter 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

Appendix A: Test Based on Normal Distributions

Appendix B: Statistical Tables

Appendix C: Basic Results

Additional Solved Problems

Index.

Notes:

Description based on publisher supplied metadata and other sources.

Includes index.

ISBN:

93-325-4471-9

OCLC:

922020129