Probability with R. Jane M. Horgan
16.2 Probability Density Function of Waiting Times 16.3 Cumulative Distribution Function 16.4 Modeling Lifetimes 16.5 Quantiles 16.6 Exponential Expectations 16.7 Simulating Exponential Probabilities and Expectations 16.8 Amnesia 16.9 Simulating Markov 16.10 Project 17 Queues 17.1 The Single Server Queue 17.2 Traffic Intensity 17.3 Queue Length 17.4 Average Response Time 17.5 Extensions of the M/M/1 Queue 17.6 Project Reference Notes 18 The Normal Distribution 18.1 The Normal Probability Density Function 18.2 The Cumulative Distribution Function 18.3 Quantiles 18.4 The Standard Normal Distribution 18.5 Achieving Normality: Limiting Distributions 18.6 Projects 19 Process Control 19.1 Control Charts 19.2 Cusum Charts 19.3 Charts for Defective Rates 19.4 Project
10 Part V: Tailing Off 20 The Inequalities of Markov and Chebyshev 20.1 Markov's Inequality 20.2 Algorithm Runtime 20.3 Chebyshev's Inequality
11 Appendix A: Data: Examination Results
12 Appendix B: The Line of Best Fit: Coefficient Derivations
13 Appendix C: Variance Derivations C.1 Variance of the Geometric Distribution (Chapter 10) C.2 Variance of the Binomial Distribution (Chapter 11) C.3 Variance of the Poisson Distribution (Chapter 13) C.4 Variance of the Uniform Distribution (Chapter 15) C.5 Variance of the Exponential Distribution (Chapter 16)
14 Appendix D: Binomial Approximation to the Hypergeometric
16 Appendix F: The Inequalities of Markov and Chebyshev F.1 Markov's Inequality: A Proof Without Words F.2 Chebyshev's Inequality: Markov's in Disguise
18 Index
19 Postface
List of Tables
1 Chapter 3TABLE 3.1 The Training SetTABLE 3.2 The Testing SetTABLE 3.3 The Anscombe Quartet
2 Chapter 4TABLE 4.1 ProgramsTABLE 4.2 Birthday Probabilities
3 Chapter 5TABLE 5.1 Sets and Events
4 Chapter 9TABLE 9.1 Benford's First DigitsTABLE 9.2 Joint Distribution of Errors in ProgramsTABLE 9.3 Rolling Two DiceTABLE 9.4 Joint Distribution of Hardware FailuresTABLE 9.5 Marginal Distributions of Hardware FailuresTABLE 9.6 Conditional Distributions of Hardware Failures in Lab 1 (
5 Chapter 10TABLE 10.1 Simulation Comparisons of the Geometric pdf
6 Chapter 11TABLE 11.1 Binomial Probabilities with
7 Chapter 12TABLE 12.1 Hypergeometric and Binomial Probabilities with
8 Chapter 13TABLE 13.1 Horse Kick Fatalities in the Prussian CavalryTABLE 13.2 Estimating Fatal Horse KicksTABLE 13.3 Binomial and Poisson Probabilities
9 Chapter 14TABLE 14.1 Producer's and Consumer's RisksTABLE 14.2 Average Outgoing QualityTABLE 14.3 Acceptance ProbabilitiesTABLE 14.4 Average Sample SizeTABLE 14.5 Average Outgoing Quality
10 Chapter 18TABLE 18.1 UsingR to Obtain Normal Probabilities: