Probability with R. Jane M. Horgan

TABLE 18.2 Comparison of Normal and Binomial Probabilities with

and

TABLE 18.3 Comparison of Normal and Poisson Probabilities with

      List of Illustrations

      1 Chapter 3Figure 3.1 A Simple BoxplotFigure 3.2 A Boxplot with Axis LabelsFigure 3.3 Multiple BoxplotsFigure 3.4 A Gender ComparisonFigure 3.5 A Gender Comparison (corrected)Figure 3.6 A Gender ComparisonFigure 3.7 A Lattice of BoxplotsFigure 3.8 A Histogram with Default BreaksFigure 3.9 A Histogram with Five Breaks of Equal WidthFigure 3.10 Histogram of Each Subject in Each SemesterFigure 3.11 A Histogram with Breaks of a Specified WidthFigure 3.12 Histogram with PercentagesFIGURE 3.13 A Stem and Leaf DiagramFigure 3.14 A Scatter PlotFigure 3.15 Use of the

FunctionFigure 3.16 The Line of Best FitFigure 3.17 The Scatter of the Training DataFigure 3.18 The Line of Best Fit for the Training DataFigure 3.19 Differences Between Observed and Estimated

Values in the Testing...Figure 3.20 Plots of Four Data Sets with Same Means and Standard Deviations

      2 Chapter 4Figure 4.1 The Birthday ProbabilitiesFigure 4.2 Allocation of 10 JobsFigure 4.3 Jane's Winnings at Each Toss

      3 Chapter 5Figure 5.1 Mutually Exclusive EventsFigure 5.2 Non Mutually Exclusive EventsFigure 5.3 Complementary Events

      4 Chapter 6Figure 6.1 Error Probabilities with the Intel ChipFigure 6.2 Compiling Probabilities of C++ and Java ProgramsFigure 6.3 Inquiries to Computer System with Five Communications LinesFigure 6.4 Transmit and Receive Probabilities of a Communication Channel

      5 Chapter 8Figure 8.1 A Series SystemFigure 8.2 A Parallel SystemFigure 8.3 Reliability of a Series System with Differing Component Reliability...Figure 8.4 Reliability of a Parallel System with Increasing Number of Componen...Figure 8.5 Reliability of a Series System with

Components each with Reliabil...Figure 8.6 Reliability of a Parallel System with

ComponentsFigure 8.7 Reliability of

Subsystems in Series with Component Reliability of...Figure 8.8 Reliability of

Subsystems in Series with Component Reliability of...

      6 Chapter 9Figure 9.1 Probability Density Function of the Hardware FailuresFigure 9.2 Operand Stack Size of a Java Assembler InterfaceFigure 9.3 Cumulative Distribution Function of Hardware FailuresFigure 9.4 Probability Density FunctionFigure 9.5 Cumulative Distribution FunctionFigure 9.6 Benford's First DigitFigure 9.7 Rolling a DieFigure 9.8 Hardware Failures

      7 Chapter 10Figure 10.1 Geometric ProbabilitiesFigure 10.2 Geometric pdfsFigure 10.3 Geometric cdfsFigure 10.4 Simulated Number of Tosses to First HeadFigure 10.5 Simulated and Theoretical Geometric Distributions with

Figure 10.6 Simulated and Theoretical Geometric Distributions with

Figure 10.7 Amy's Winnings in 50 PlaysFigure 10.8 Geometric Distribution: Number of Inspections (

) to the First Def...

      8 Chapter 11Figure 11.1 Binomial pdfsFigure 11.2 Binomial cdfsFigure 11.3 Probabilities of Error‐Free Packets Containing Different Numbers o...Figure 11.4 Correct Classification Probabilities with Varying Numbers of Indep...Figure 11.5 The Probability that More than 10 of 21 Independent Classifiers wi...Figure 11.6 Simulated and Theoretical Binomial Distributions with

and

Figure 11.7 Number of Defectives per Sample of 20 with

      9 Chapter 12Figure 12.1 Hypergeometric pdfsFigure 12.2 Hypergeometric cdfsFigure 12.3 The Lottery with Differing Total Number SetsFigure 12.4 Hypergeometric and Binomial pdfs with

= 10,

= 0.1Figure 12.5 Hypergeometric and Binomial pdfs with

= 10,

= 0.1

      10 Chapter 13Figure 13.1 Horse Kick Fatalities in the Prussian ArmyFigure 13.2 Binomial pdf

Figure 13.3 Binomial pdf

Figure 13.4 Binomial pdf

Figure 13.5 Poisson pdf

Figure 13.6 Poisson pdfsFigure 13.7 Poisson cdfsFigure 13.8 Bug DetectionFigure 13.9 Simulated Web Hits: Poisson Distribution,

Figure 13.10 Simulated Web Hits: Poisson Distribution,

      11 Chapter 14Figure 14.1 Simulated Number of Defectives in Samples of

= 10 from Batches o...Figure 14.2 Simulated Number of Defectives in Samples of

drawn from Large Ba...Figure 14.3 Simulated Number of Defectives in Samples of

drawn from Large Ba...Figure 14.4 Operating Characteristic CurvesFigure 14.5 Ideal Operating Characteristic Curve which Rejects Batches contain...Figure 14.6 Average Outgoing QualityFigure 14.7 Operating Characteristic CurveFigure 14.8 Average Sample Size

      12 Chapter