Probability and Statistics

Topic outline

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  General

  
  
  

  • RESOURCES
  • (5th Ed) ENTIRE TEXTBOOK available as a pdf File
  • Textbook: Appendix A - Tables File
  • Textbook: Appendix B - Glossary and Index File
  • Textbook: Appendix C - Calculator Help File
  • Textbook: Appendix D - Selected Answers File
  • TI-84+ Graphing Calculator URL

    • Click on "Start Test Now"
      
    • Click on "Start Selection"
      
    • Click on the icon of the calculator toward the top of the window
      

  • Backup file 91.1MB
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  • RESOURCES:    Interactive Math Simulators

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  Chapter 1 - Counting Methods

   

  Chapter Learning Objectives:

  Select and apply counting procedures, such as the multiplication and addition principles and tree diagrams, to determine the size of a sample space (the number of possible outcomes) and to calculate probabilities.

  • Textbook Ch1-Counting Methods (5thEd) File
  • Odyssey Connection Page
  • Learning Targets: Chapter 1

  • 1.1 Sample Spaces, Events, and Outcomes Page
  • 1.2 Fundamental Counting Principle Page
  • 1.3 Permutations Page
  • 1.4 Combinations Page
  • 1.5 Mixed Combinations and Permutations Page
  • 1.6 Chapter Review Page
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  Chapter 2 - Calculating Probability
  

  
  
  

  Chapter Learning Objectives:

  Select and apply counting procedures, such as the multiplication and addition principles and tree diagrams, to determine the size of a sample space (the number of possible outcomes) and to calculate probabilities.

  • Textbook Ch2-Calculating Probability (5thEd) File
  • Odyssey Connection Page
  •   Learning Targets: Chapter 2

  • 2.1 Calculating Basic Probabilities Page
  • 2.2 Compound and Independent Events Page
  • 2.3 Mutually Exclusive Events Page
  • 2.4 Tree Diagrams and Probability Models Page
  • 2.5 Conditional Probabilities and 2-Way Tables Page
  • 2.6 Chapter 2 Review Page
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  Chapter 3 - Expected Values and Simulation

  
  
  

  Chapter Learning Objectives:
  

  • Be able to construct a probability model (expected value table) given all possible outcomes and the associated probabilities
  • Be able to calculate the expected value for a situation given a probability model
  • Be able to calculate missing values in a probability model given information about the expected value in a situation.

   

  • Textbook Ch3 - Expected Values (5thEd) File
  • Odyssey Connection Page
  •  Learning Targets: Chapter 3

  • 3.1 Probability Models & Expected Value Page
  • 3.2 Applied Expected Value Calculations Page
  • 3.3 Simulation and Experimental Probability Page
  • 3.4 Chapter 3 Review Page
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  Chapter 4 - Data Collection
  

  
  

  Chapter Learning Objectives:
  

  • Know the terminology of data collection, variables, and measurement
  • Understand how measurements are used in statistics
  • Distinguish between the various methods for data collection

  • Textbook Ch4 - Data Collection (5thEd) File
  • Odyssey Connection Page
  •  Learning Targets: Chapter 4

  • 4.1 DATA–What is data? Why collect data? How is data collected? Who cares anyway? Page
  • 4.2 Sample Survey and Census Page
  • 4.3 Random Selection Page
  • 4.4 Statistical Conclusions Page
  • 4.5 Experiments and Observational Studies Page
  • 4.6 Chapter 4 Review Page
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  Chapter 5 - Analyzing Univariate Data
  
  

  Chapter Learning Objectives:
  

  • Organize categorical data in tables
  • Construct bar graphs and pie charts by hand and with computer software programs
  • Describe, summarize and compare categorical data

  • Textbook Ch5 - Univariate Data (5thEd) File
  • Odyssey Connection Page
  •  Learning Targets: Chapter 5

  • 5.1 Categorical Data Page
  • 5.2 Time Plots & Measures of Central Tendency Page
  • 5.3 Numerical Data: Dot Plots & Stem Plots Page
  • 5.4 Numerical Data: Histograms Page
  • 5.5 Numerical Data: Box Plots & Outliers Page
  • 5.6 Numerical Data: Comparing Data Sets Page
  • 5.7 Chapter 5 Review Page
  • Finding Standard Deviation Ti 83 File
  • Finding Standard Deviation Ti 30 File
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  Chapter 6 - Bivariate Data
  

  

  Chapter Learning Objectives:

  • Understand how to construct and interpret scatterplots to display bivariate data

  • Understand the terms explanatory variable and response variable

  • Understand how to describe a bivariate relationship in terms of form, directions, and strength

  • Textbook Ch6 - Bivariate Data (5thEd) File
  • Odyssey Connection Page
  •  Learning Targets: Chapter 6

  • 6.1 Displaying Bivariate Data Page
  • 6.2 Correlation Page
  • 6.3 Least-Squares Regression Page
  • 6.4 Chapter 6 Review Page
  • Technology Notes: Regression Line on Internet URL
  • Technology Notes: Linear Regression on the TI-83/84: File
  • Technology Notes: Regression Line on TI30XIIS File
  • Technology Notes: Scatterplots on TI83/84 Graphing Calculator File
  • Technology Notes: Correlation on the TI83/84 Graphing Calculator File
  • Technology Notes: Correlation on the Ti-30XIIS File
  • Technology Notes: Correlation on Microsoft Excel File
  • Technology Notes: finding correlation using a website URL
  • Technology Notes: Regression Line on Internet URL
  • Technology Notes: Linear Regression on the TI-83/84: File
  • Technology Notes: Regression Line on TI30XIIS File
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  Chapter 7 - Normal Distributions

  

  Chapter Learning Objectives:
  

  • Understand the similarities between a histogram and a density curve.

  • Textbook Ch7 - Normal Distributions (5thEd) File
  • Odyssey Connection Page
  •  Learning Targets: Chapter 7

  • 7.1 Introduction to the Normal Curve Page
  • 7.2 Z-Scores, Percentiles, and Normalcdf Page
  • 7.3 Inverse Normal Calculations Page
  • 7.4 Chapter 7 Review Page
  • Tech Notes: Exploring Normal Distributions with Ti83/4 File
  • Tech Notes: Normal Command on Ti83/4 File
  • Tech Notes: Drawing Normal Distributions with Ti83/4 File