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Mathematical Methods: Units 1 and 2

The Binomial Distribution

Discrete probability distributions

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Discrete probabil…
About this lesson
This video looks at the Binomial Distribution and how we can use it to find more complex probabilities. Starting with a recap of the last video, I then look at how we can use a simple formula (using combinatorics) to find individual probabilities for discrete random variables. I show how to do this using "by hand" and CAS methods. There are a number of worked examples which help me frame the theory. I also look at one of the more complex examples where you need to find the number of trials needed given an overall probability and a probability of success. These questions seem to appear on VCAA papers quite regularly. This video is part of the Year 11 (VCE Units 1 and 2) Mathematical Methods course.
Lesson chapters
  1. Welcome
  2. Learning objectives
  3. Recap of Past Learning
  4. RECAP: With and without replacement
  5. An easier way to find the individual probabilities
  6. RECAP: A brief reminder of combinatorics
  7. An easy formula!
  8. Example 1
  9. Example 1: Using the CAS (Binomial Pdf function)
  10. Example 2
  11. Seeing what a Binomial Distribution looks like
  12. Example 3: Finding the number of trials for a given probability
  13. Using the CAS to check
  14. The CAS makes this so much easier!
  15. Example 2a
  16. Example 2b
  17. Learning objective: Revisited
Legal (VCAA)

VCE Maths exam question content used by permission, ©VCAA. The VCAA is not affiliated with, and does not endorse, this video resource. VCE® is a registered trademark of the VCAA. Past VCE exams and related content can be accessed at www.vcaa.vic.edu.au

Video details
  • Title The Binomial Distribution
  • Section Discrete probability distributions
  • Course Mathematical Methods: Units 1 and 2

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