Jane M. Horgan - Probability with R

10 Chapter 18TABLE 18.1 Using R to Obtain Normal Probabilities: TABLE 18.2 Comparison of Normal and Binomial Probabilities with and TABLE 18.3 Comparison of Normal and Poisson Probabilities with

1 Chapter 3 Figure 3.1 A Simple Boxplot Figure 3.2 A Boxplot with Axis Labels Figure 3.3 Multiple Boxplots Figure 3.4 A Gender Comparison Figure 3.5 A Gender Comparison (corrected) Figure 3.6 A Gender Comparison Figure 3.7 A Lattice of Boxplots Figure 3.8 A Histogram with Default Breaks Figure 3.9 A Histogram with Five Breaks of Equal Width Figure 3.10 Histogram of Each Subject in Each Semester Figure 3.11 A Histogram with Breaks of a Specified Width Figure 3.12 Histogram with Percentages FIGURE 3.13 A Stem and Leaf Diagram Figure 3.14 A Scatter Plot Figure 3.15 Use of the Function Figure 3.16 The Line of Best Fit Figure 3.17 The Scatter of the Training Data Figure 3.18 The Line of Best Fit for the Training Data Figure 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