MAT330 LECTURE 20 (4/8/2020): UNIFORM AND NORMAL RANDOM VARIABLES





Announcements: The next homework set (HW8) is available now, 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 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 about uniform random variable (definitions and example): Download file or watch below


• Video about normal random variable (definitions): Download file or watch below


• Video about the normal probability density function (checking it satisfies the property $\int_{-\infty}^{+\infty} f(x) \, dx=1$): Download file or watch below




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


• External link 1: Theory visualization of Uniform and Normal distributions. I highly recommend checking this out, select "Continuous", and then "Uniform" or "Normal" from the dropdown menu, and move around the sliders for the parameters, to see how the probability density function changes.


• External link 2: Recap/Summary of continuous random variables (video): Watch on YouTube


• External link 3: Standardizing normal distributions and numeric examples (video): Watch on YouTube


• External link 4: Numeric examples, reducing to standard normal distribution, by PatrickJMT (video): Watch on YouTube


• External link 5: Numeric examples, reducing to standard normal distribution, by PatrickJMT (video): Watch on YouTube





Last updated: April 8, 2020, 3:30pm EDT