MAT330 LECTURE 19 (4/6/2020): CONTINUOUS RANDOM VARIABLES





Announcements: The next homework set (HW8) will be available online soon, and due on April 20. Note that this is 2 weeks from today, in keeping with the original Spring Break from the pre-pandemic calendar. Although CUNY has "cancelled" Spring Break due to the "recalibration period", since we worked through the recalibration period, I am extending the deadline for HW8 by one week (hence to April 20), and will be posting online lectures as follows: Lecture 20 (about uniform and normal random variables) by April 8, Lecture 21 by April 20, and Lecture 22 by April 22. These lectures will likely be available online sooner than these dates, and you may work through them whenever is most convenient for you (but, at the latest, on these indicated dates). In this way, you can choose whether to allow yourself a Spring Break, or instead work through the Spring Break having twice the usual amount of time to go through the same amount of material. Either way, you can pick what is most convenient for you, both options are equally fine for me, as long as you deliver HW8 by April 20. As always, if you have any questions, please send me an e-mail!


• Video introducting continuous random variable (definitions): Download file or watch below

Important: I made a small mistake in the definition, writing $f\colon \mathbb R\to [0,1]$ where it should instead be $f\colon\mathbb R\to [0,+\infty)$.
This is explained and corrected on the next video!


• Video with an example of probabilities of continuous random variable: Download file or watch below


• Video about Expected value of continuous random variables (with 2 examples): Download file or watch below


• Video about Variance of continuous random variables (continuing the same 2 examples): Download file or watch below




• Lecture Notes (static file from above videos): PDF file


• External link 1: Recap/Summary of continuous random variables (video): Watch on YouTube


• External link 2: Recap and examples of mean (expected value) and variance of continuous random variables (video): Watch on YouTube


• External link 3: Recap/Summary of continuous random variables by PatrickJMT, with examples (video): Watch on YouTube





Last updated: April 6, 2020, 12:30pm EDT