Probability (revised)

 

I like to think of statistics as a study of the past while probability is a study of the future. For many students, probability is the most difficult section of the course. The Advanced Placement curriculum is careful not to over-emphasize probability. It is merely a way-station for conditional probability, the backbone of inference. I have always enjoyed teaching probability although there is no mathematical topic I respect more. I always get bogged down in these chapters because of my like for the material and I probably have way too much material here. It is important not to focus on strict probability questions and focus on random variables and binomial distributions.  Since the halfway point of this course usually occurs while teaching probability, I have included a midterm in this unit.
 
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Contents of the Probability Material

 

Cover page: For each of the sections, I have a cover page that describes the material and what it includes. I suggest that you read it for each section. Material that is new or revised I indicated in red.

Teaching. These are documents that the teacher uses for face-to-face teaching. It walks students through a process like doing regression or a hypothesis test. There are several problems that teachers will do with the students in class and homework problem, found in the exercises mimic them. The contents of the teaching packet are described in the cover pages.

Exercises.  This is the bulk of the material. It contains homework problems, quizzes, and exams, and simulations to try. In the Inference section, there are two exercise files because of the great number of concepts taught. The contents of the exercise packet are described in the cover pages.

 
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Cover

More in-depth descriptions of contents

 

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     (2.4 mb)

Teaching

   1. Probability terms/rules

   2. Venn diagrams (new)

   3. Conditional probability

   4. Tree diagrams (new)

   5. Random variables

   6. Binomial/Geometric dist.

   7. Binomial apps (new)


Disjoint and Independence

Answering probability questions

Using tables

Answering probability questions

Mean and standard deviation

Terms and formulas

Conclusion from binomial dist.

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      (2.1 mb)

Exercises

   1. Venn diagrams (new)

   2. Conditional probability

   3. Tree diagrams (new)

   4. Take home exam

   5. Random variables

   6. Expected value

   7. Quiz

   8. Practice quiz

   9. Quiz

   10. Binomial dist. (new)

   11. Binomial dist.

   12. Take home exercise

   13. Geometric dist.

   14. Practice quiz

   15. Quiz

   16. Exam (new)

   17. Midterm


Calculating probabilities

Using tables

Calculating probabilities

Probability - 3 different exams

Calculating probabilities

Mean and standard deviation

Expected value

Random variables

Random variables

Determine criteria

Calculating probabilities

Binomial probabilities

Calculating probabilities

Random var, binomial, geometric

Random var, binomial, geometric

All of probability unit

Cumulative

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       (1.4 mb)

Powerpoints

  Conditional Prob (new)

Only available in solution version

   Narrated/unnarrated/script

 

 

By downloading the free guides, you have the right to make as many copies as you wish as long as you use them for face-to-face classroom use. Solutions cannot be posted on the Internet nor placed on a school's website except with special permission. Any questions, contact me at team@mastermathmentor.com.

  

 
Purchase the Probability Answer Key!
Only $29.95
(for download) 
Purchase options.
Purchase entire set of answer keys for all AP Stat materials!
Only $99.95
(for download) 
Purchase options.
 
Another purchase options include ordering our AP Stat materials on a flash driveClick here for details!  


 

Click HERE to access the downloads for a previous purchase 
(must be within 7 days of original purchase)