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Probability & Statistics Academic Library

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Probability & Statistics B

Semester B of Probability and Statistics is designed to give 11th- and 12th-grade students a more in-depth look at statistics and its many applications, with an emphasis on inferential statistics. Students are also introduced to advanced counting techniques as well as probability and its applications.

 The semester begins with the concept of sample space, basic probability, and the difference between theoretical and experimental probabilities. A more in-depth look at probability follows, with an emphasis on compound and conditional probabilities.

 

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Probability & Statistics B Online

UNIT 1- INTRODUCTION TO PROBABILITY

  1. Course Overview
  2. Sample Spaces
  3. The Probability Continuum
  4. Theoretical Probability
  5. Experimental Probability
  6. Quiz: Probability
  7. Alternate Quiz: Probability
  8. Independent Events
  9. Two-Way Tables
  10. Determining Independence Using Two-Way Tables
  11. Probability of Multiple Events Occurring Simultaneously
  12. Quiz: Independent Events
  13. Alternate Quiz: Independent Events
  14. Unions of Events
  15. Probability of an Event Not Occurring
  16. Conditional Probability Using Venn Diagrams
  17. Conditional Probability Using a Formula
  18. Project: Conditional Probability
  19. Quiz: Conditional Probability
  20. Alternate Quiz: Conditional Probability
  21. Unit Review
  22. Test: Introduction to Probability
  23. Alternate Test: Introduction to Probability
  24. Glossary and Credits

 

 

UNIT 2: EXPLORING PROBABILITY

  1. Venn Diagrams
  2. Probability of Non-Mutually Exclusive Events Using Venn Diagrams
  3. Probability of Non-Mutually Exclusive Events Using a Formula
  4. Mixed Probability Applications
  5. Quiz: Venn Diagrams
  6. Alternate Quiz: Venn Diagrams
  7. Binomial Probability Distributions
  8. Geometric Probability Distributions
  9. Expected Value
  10. Constructing Probability Distributions
  11. Quiz: Probability Distributions
  12. Applications of Expected Value
  13. Using Expected Value to Find the Mean of a Probability Distribution
  14. Using the Probability Distribution to Find Expected Value
  15. Probability Tree Diagrams
  16. Project: Binomial Experiment
  17. Quiz: Expected Value
  18. Alternate Quiz: Expected Value
  19. Unit Review
  20. Test: Exploring Probability
  21. Alternate Test: Exploring Probability
  22. Glossary and Credits

 

UNIT 3: COUNTING METHODS AND PROBABILITY

  1. Fundamental Counting Principle
  2. Permutations
  3. Combinations
  4. Comparing and Combining the Counting Methods
  5. Quiz: Counting Methods
  6. Alternate Quiz: Counting Methods
  7. Probability Using the Fundamental Counting Principle
  8. Probability Using Permutations
  9. Probability Using Combinations
  10. Applications of Probabilities for Combinations and Permutations
  11. Quiz: Probability Using Counting Methods
  12. Alternate Quiz: Probability Using Counting Methods
  13. Probability of Repeated Events
  14. Probability of an Event Not Occurring Given Multiple Opportunities
  15. Probabilities Using a Normal Curve
  16. Applications of Probabilities Using a Normal Curve
  17. Project: Real-World Probabilities
  18. Quiz: Repeated Events and Normal Curves
  19. Alternate Quiz: Repeated Events and Normal Curves
  20. Unit Review
  21. Test: Counting Methods and Probability
  22. Alternate Test: Counting Methods and Probability
  23. Glossary and Credits

 

UNIT 4: FORMING AND TESTING HYPOTHESES

  1. Forming a Hypothesis
  2. Calculating Proportion Using Z-Scores
  3. Comparing Means with a T-Test
  4. Hypothesis Testing
  5. Quiz: Hypotheses and Testing
  6. Alternate Quiz: Hypotheses and Testing
  7. Genetics and Probability
  8. Comparing Means with a Z-Test
  9. Introduction to Confidence Intervals
  10. Determining Confidence Intervals
  11. Quiz: Confidence Intervals
  12. Alternate Quiz: Confidence Intervals
  13. Chi-Square Tests
  14. Test of Proportion
  15. Paired T-Test
  16. Criticisms of Statistical Hypothesis Testing
  17. Project: Experimental Design and Analysis
  18. Quiz: Statistical Tests
  19. Alternate Quiz: Statistical Tests
  20. Unit Review
  21. Test: Forming and Testing Hypotheses
  22. Alternate Test: Forming and Testing Hypotheses
  23. Glossary and Credits

 

UNIT 5: APPLICATIONS OF PROBABILITY AND HYPOTHESIS TESTING

  1. Recognizing Misleading Uses of Statistics
  2. Dealing with Small Sample Sizes
    1. A Gentle Introduction to Non-Parametric Statistics
  3. Selective Reporting
  4. Exercise and Cancer
  5. Quiz: Real-World Limitations
  6. Alternate Quiz: Real-World Limitations
  7. The Gender-Salary Gap
  8. Marketing Research Statistics
  9. Cell Phone Use While Driving
  10. Ratios of Male/Female Births Over Time
  11. Quiz: Research Statistics
  12. Alternate Quiz: Research Statistics
  13. Nutrition Science
  14. How Governments Use Statistics
  15. Coaching Decisions
  16. Random Walks
  17. Project: Hypothesis Testing – A Drug Study
  18. Quiz: Making Decisions Using Statistics
  19. Alternate Quiz: Making Decisions Using Statistics
  20. Unit Review
  21. Test: Applications of Probability and Hypothesis Testing
  22. Alternate Test: Applications of Probability and Hypothesis Testing
  23. Glossary and Credits

UNIT 6: SEMESTER REVIEW AND EXAM

  1. Semester Review
  2. Semester Exam
  3. Alternate Semester Exam