MAT330 LECTURE 17 (3/30/2020): BERNOULLI AND BINOMIAL RANDOM VARIABLES





• Announcements: HW7 is due next Monday (4/6/2020) at 11:00am (beginning of class), and will be available online shortly. I am still in the process of grading the Midterm exam (you will receive your grades via Blackboard) and posting solutions online, so stay tuned. In the meantime, if you have any questions, please send me an email.


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


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


• Video with worked example of Binomial random variable (5 coin flips): Download file or watch below


• Video with worked example of Binomial random variable (COVID-19 in the Bronx): Download file or watch below


Note (post-video): the computation of $P(X\geq2)$ can be made in a much easier way! See "Lecture Notes" PDF file below!

• Histograms with $n=5,50,100$ and $p=\frac12,\frac14,\frac{1}{10}$. Click on the image to make it larger, and use External Link 1 below for an interactive way of visualizing this.

$p=\frac12$

$p=\frac14$

$p=\frac{1}{10}$




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


• External link 1: Theory visualization of Binomial distribution. I highly recommend checking this out, select "Binomial" from the dropdown menu, and move around the sliders for $n$ and $p$, to see how the probability mass function changes.

• External link 2: Recap/Summary of Binomial random variables, with examples (video): Watch on YouTube





Last updated: March 30, 2020, 1:30pm EDT