Parallel Systems
8.3 Reliability of a System
8.4 Series–Parallel Systems
8.5 The Design of Systems
8.6 The General System
8 Part III: Discrete Distributions 9 Introduction to Discrete Distributions 9.1 Discrete Random Variables 9.2 Cumulative Distribution Function 9.3 Some Simple Discrete Distributions 9.4 Benford's Law 9.5 Summarizing Random Variables: Expectation 9.6 Properties of Expectations 9.7 Simulating Discrete Random Variables and Expectations 9.8 Bivariate Distributions 9.9 Marginal Distributions 9.10 Conditional Distributions 9.11 Project References 10 The Geometric Distribution 10.1 GEOMETRIC RANDOM VARIABLES 10.2 CUMULATIVE DISTRIBUTION FUNCTION 10.3 THE QUANTILE FUNCTION 10.4 GEOMETRIC EXPECTATIONS 10.5 SIMULATING GEOMETRIC PROBABILITIES AND EXPECTATIONS 10.6 AMNESIA 10.7 SIMULATING MARKOV 10.8 PROJECTS 11 The Binomial Distribution 11.1 Binomial Probabilities 11.2 Binomial Random Variables 11.3 Cumulative Distribution Function 11.4 The Quantile Function 11.5 Reliability: The General System 11.6 Machine Learning 11.7 Binomial Expectations 11.8 Simulating Binomial Probabilities and Expectations 11.9 Projects 12 The Hypergeometric Distribution 12.1 Hypergeometric Random Variables 12.2 Cumulative Distribution Function 12.3 The Lottery 12.4 Hypergeometric or Binomial? 12.5 Projects 13 The Poisson Distribution 13.1 Death by Horse Kick 13.2 Limiting Binomial Distribution 13.3 Random Events in Time and Space 13.4 Probability Density Function 13.5 Cumulative Distribution Function 13.6 The Quantile Function 13.7 Estimating Software Reliability 13.8 Modeling Defects In Integrated Circuits 13.9 Simulating Poisson Probabilities 13.10 Projects References 14 Sampling Inspection Schemes 14.1 Introduction 14.2 Single Sampling Inspection Schemes 14.3 Acceptance Probabilities 14.4 Simulating Sampling Inspection Schemes 14.5 Operating Characteristic Curve 14.6 Producer's and Consumer's Risks 14.7 Design of Sampling Schemes 14.8 Rectifying Sampling Inspection Schemes 14.9 Average Outgoing Quality 14.10 Double Sampling Inspection Schemes 14.11 Average Sample Size 14.12 Single Versus Double Schemes 14.13 Projects
9 Part IV: Continuous Distributions 15 Introduction to Continuous Distributions 15.1 Introduction to Continuous Random Variables 15.2 Probability Density Function 15.3 Cumulative Distribution Function 15.4 The Uniform Distribution 15.5 Expectation of a Continuous Random Variable
