Muddy Points

Lesson 15: Discrete RVs

Fall 2025

1. Hypergeometric distribution is always a lot to look at

Haha, so true. Hopefully more examples next class will be helpful.

2. For the first couple of random variable types deriving the expected values & variances feels simple enough, for the later ones i have no idea how

Yes, it gets tricky especially when \(X\) can take infinite values. The good news is these are all very common random variables and there are many videos that go through the proofs.

For example, here is one from Khan Academy on the geometric distribution.