Jane M. Horgan - Probability with R

12 Chapter 15Figure 15.1 Probability Density Function of Current in a CircuitFigure 15.2 : Area Under the CurveFigure 15.3 The pdf and cdf of the Uniform [2, 5] Random VariableFigure 15.4 The Uniform [0,1] pdf and cdfFigure 15.5 Uniform Probabilities: Figure 15.6 Uniform Probabilities: Figure 15.7 Empirical Probability Density Function

13 Chapter 16Figure 16.1 Density of the Exponential Distribution with , and Figure 16.2 Area under the Exponential CurveFigure 16.3 Reliability of a workstation with Failure Rate = 0.5Figure 16.4 Simulated and Actual Distributions of Job Submissions to a Server,...Figure 16.5 Simulated Exponential Distribution for Compared with the Simulat...Figure 16.6 Interarrival Times Uniform in [0, 0.5]Figure 16.7 Simulated Uniform Waiting Time after Compared with the Original

14 Chapter 17Figure 17.1 A Single Server QueueFigure 17.2 Queue Length with Traffic Intensity 1Figure 17.3 Queue Pattern with Traffic Intensity = 1Figure 17.4 Queue Pattern when the Traffic Intensity Figure 17.5 Queue Length with and , 4 and Figure 17.6 Queue Length with and Figure 17.7 Queue Pattern with Four Engineers Submitting to One ProcessorFigure 17.8 Queue Length over 10,000 Simulations

15 Chapter 18Figure 18.1 A Bell‐Shaped and Symmetrical CurveFigure 18.2 Two Normal Distributions with Different Means and the Same SpreadFigure 18.3 Two Normal Distributions with the Same Mean and Different SpreadsFigure 18.4 The Cut‐off Point for 95% of the Normal Distribution with and Figure 18.5 The Density of the Standard Normal DistributionFigure 18.6 Normal Approximation to the Binomial Figure 18.7 Binomial and Normal Densities with , for Varying Values of Figure 18.8 The Binomial Probabilities with , for Varying Values of Figure 18.9 The Normal Approximation to the Binomial Distribution with and V...Figure 18.10 Normal Approximation to the Poisson distribution with Figure 18.11 Normal Approximation to the Poisson Distribution with Varying Val...Figure 18.12 The (10,000, 100) pdf Superimposed on the Poisson Probabilities ...

16 Chapter 19Figure 19.1 A Typical Control ChartFigure 19.2 A Control Chart for Diameters: Day 1–30Figure 19.3 A Control Chart for Diameters: Day 31–60Figure 19.4 A Cusum Chart for Data that are Going Out of ControlFigure 19.5 An “In‐control” Cusum ChartFigure 19.6 A Control Chart for Bad Sectors in Memory SticksFigure 19.7 A Control Chart for Defective Chips in Wafers

17 Chapter 20Figure 20.1 The Markov Bound when , Together with the Tail Probabilities fo...Figure 20.2 The Markov Bound with , Together with the Tail Probabilities, f...

18 6Figure F.1 Proof Without Words

1 Cover

2 Table of Contents

3 Begin Reading

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