Lesson 1-1-2: Event Operations and Properties

This lesson explores event operations, specifically unions, intersections, and complementation, as well as the properties of these operations with detailed visualizations.  I realize that despite my best efforts, some of the illustrations may not perfectly communicate the property in question, so it is important to try to understand the notation. If you’re on mobile, you can view the lesson here: Presentation 1-1-2 Event Operations and Properties

2020

Regression Notes - 1

4 minute read

This is the first notebook covering regression topics. It starts with basic estimation and diagnostics. This example uses a dataset I’m familiar with throu...

Lesson 1-3-1: Conditional Probability

less than 1 minute read

Now things are getting fun: We’re moving on to section 3, on conditional probability and independence! If you’re on mobile, you can view the lesson here: Pr...

Lesson R-1-2-6: Counting

less than 1 minute read

This is the coding supplement to theory lesson 1-2-6. If you’re on mobile, view this lesson here: Lesson R-1-2-6: Counting. You can also download the code ...

Lesson 1-2-7: Finishing Up

less than 1 minute read

Short final lesson on calculating probabilities by counting. If you’re on mobile, you can view the lesson here: Presentation 1-2-7: Finishing Up

Lesson 1-2-6: Learning to Count, Part 2

less than 1 minute read

And now for the thrilling conclusion to our two-part lesson on counting! If you’re on mobile, you can view the lesson here: Presentation 1-2-6 Learning to Co...

Lesson 1-2-5: Learning to Count, Part 1

less than 1 minute read

Think you know how to count? Well, think again! It’s time we covered the Fundamental Theorem of Counting! This two-part lesson will be followed up by a cod...

Lesson R-0-1: Prologue: Obtaining R

less than 1 minute read

Pretty soon we’re gonna need to write some code. Luckily, I’m here to teach you how to do it! We’re gonna start by installing R and RStudio. Then, we’ll g...

Lesson 1-2-3: Axioms and Consequences

less than 1 minute read

Now it’s getting serious.  We’ve established the axioms of probability, but there is so much more to be done with them!  Some of it, sadly, gets a little inv...

Lesson 1-2-2: The Axioms, Explained

less than 1 minute read

Now we’re getting to the good stuff!  We’re not only taking a deeper dive into the axioms of probability, we’re also proving that a (relatively) simple funct...

Lesson 1-2-1: Of Axioms and Algebras

less than 1 minute read

We’re ready to start working toward an axiomatic definition of probability.  First, however, we take a rather painful detour through the realm of Borel field...

Lesson 1-1-3: Set Theory Conclusion

less than 1 minute read

This lesson rounds out our primer on set theory by introducing operators that allow us to take the union or intersection of many (or even infinitely many) se...

Lesson 1-1-2: Event Operations and Properties

less than 1 minute read

This lesson explores event operations, specifically unions, intersections, and complementation, as well as the properties of these operations with detailed v...

Lesson 1-1-1: The Sample Space and Events

less than 1 minute read

This lesson begins our journey with the introduction of the sample space, and the events therein.  If you’re on mobile, you can view the lesson here: Present...

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