Topics
This video recaps all the exciting terminology which is needed to be able to answer (pretty much) every probability question on the planet. Well, maybe not every one! But a lot. I do all I can to make it amusing and real world. That's pretty hard with this rather dry subject! The language of probability is really important. This video looks at the areas shown in the key points below. ** Key points: Sample spaces and events (0:58) Random experiments (2:55) Venn Diagrams (2:40) Unions and Intersections (4:40) Addition Rule for Probability (5:54) Tree Diagrams (8:02) What leads to equally likely outcomes (10:20) Complements (11:05) What it means to be a subjective probability (12:00) Finding probabilities from Areas (13:32) What a probability table is (Karnaugh map) (14:35)
This video takes a look at what conditional probability is. It looks at what the formula is and where it comes from. Did you know that a tree diagram is a really good way to explain this?! Well ... it is. Having taken a look at how to define it we then have a look at independence. Sorry ... not Independence Day the movie (although I do have some funnies here!), but testing to see if two events are independent or not. I spend a small amount of time looking at how to prove independence and some worked examples. There really was so much fun had!
Have you ever sat and wondered about the difference between discrete and continuous data? Have you ever wondered what a discrete random variable is? Well, now you can know with this video which does everything it can to let you know about discrete random variables. It looks at what a discrete random variable is. It works with examples of selecting balls from bags. There are lots of examples leading to the definition of what a Probability Distributions is. We even manage to squeeze in some Conditional Probability too!
You are probably wondering why there is a cow as part of the opening graphic. Well, that's Moo ... or, as I like to call him, Mu. Mu is another name for the mean. As is the name Expected value. So, as normal, the whole of Mathematics is made up of multiple words which all mean the same thing. Sigh. This video takes a look at the measures of centre and spread with a view to the VCE syllabus (and other curricular around the world). We look at what expectation is (mean) and how we can calculate it for a discrete random variable. We then move on to look at what it means to work out the variance and hence the standard deviation. We finish by taking a look at some of the standard notation and lots of worked ecamples. There is a lot to cover in this video so why not load it up, take a cup of tea (or coffee) and get viewing.
Select a topic
These are the videos which are available in each chapter. You will notice that some are free and some are for subscribers only. Making and hosting these videos costs a little bit of money. To help pay for the hosting fees I have no choice but to hide some of the videos and make them for subscribers only.