The Binomial Distribution | Mathematical Methods | MaffsGuru.com
The Binomial Distribution | Mathematical Methods | MaffsGuru.com
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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.
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00:11 Welcome
00:33 Learning objectives
00:55 Recap of Past Learning
01:09 RECAP: With and without replacement
02:00 An easier way to find the individual probabilities
06:46 RECAP: A brief reminder of combinatorics
08:01 An easy formula!
09:42 Example 1
12:20 Example 1: Using the CAS (Binomial Pdf function)
13:30 Example 2
16:15 Seeing what a Binomial Distribution looks like
19:18 Example 3: Finding the number of trials for a given probability
23:42 Using the CAS to check
24:19 The CAS makes this so much easier!
25:51 Example 2a
27:16 Example 2b
29:06 Learning objective: Revisited
This maths video has been created for courses which are delivered in Australia but, as Maths is a constant, it is equally helpful for students in the USA, UK and other countries who are looking for good maths videos for both high school and middle school.