Statistics and Probability with Applications for Engineers and Scientists Using MINITAB, R and JMP. Bhisham C. Gupta
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Table of Contents
1 Cover
2 Preface AUDIENCE MOTIVATION HISTORY APPROACH HALLMARK FEATURES
5 Chapter 1: Introduction 1.1 Designed Experiment 1.2 A Survey 1.3 An Observational Study 1.4 A Set of Historical Data 1.5 A Brief Description of What is Covered in this Book
6
Part I: Fundamentals of Probability and Statistics
Chapter 2: Describing Data Graphically and Numerically
Topics Covered
Learning Outcomes
2.1 Getting Started with Statistics
2.2 Classification of Various Types of Data
2.3 Frequency Distribution Tables for Qualitative and Quantitative Data
2.4 Graphical Description of Qualitative and Quantitative Data
2.5 Numerical Measures of Quantitative Data
2.6 Numerical Measures of Grouped Data
2.7 Measures of Relative Position
2.8 Box‐Whisker Plot
2.9 Measures of Association
2.10 Case Studies
2.11 Using JMP
Review Practice Problems
Notes
Chapter 3: Elements of Probability
Topics Covered
Learning Outcomes
3.1 Introduction
3.2 Random Experiments, Sample Spaces, and Events
3.3 Concepts of Probability
3.4 Techniques of Counting Sample Points
3.5 Conditional Probability
3.6 Bayes's Theorem
3.7 Introducing Random Variables
Review Practice Problems
Chapter 4: Discrete Random Variables and Some Important Discrete Probability Distributions
Topics Covered
Learning Outcomes
4.1 Graphical Descriptions of Discrete Distributions
4.2 Mean and Variance of a Discrete Random Variable
4.3 The Discrete Uniform Distribution
4.4 The Hypergeometric Distribution
4.5 The Bernoulli Distribution
4.6 The Binomial Distribution
4.7 The Multinomial Distribution
4.8 The Poisson Distribution
4.9 The Negative Binomial Distribution
4.10 Some Derivations and Proofs (Optional)
4.11 A Case Study
4.12 Using JMP
Review Practice Problems
Note
Chapter 5: Continuous Random Variables and Some Important Continuous Probability Distributions
Topics Covered
Learning Outcomes
5.1 Continuous Random Variables
5.2 Mean and Variance of Continuous Random Variables
5.3 Chebyshev's Inequality
5.4 The Uniform Distribution
5.5 The Normal Distribution
5.6 Distribution of Linear Combination of Independent Normal Variables
5.7 Approximation of the Binomial and Poisson Distributions by the Normal Distribution
5.8 A Test of Normality
5.9 Probability Models Commonly used in Reliability