$p=\frac12$
$p=\frac14$
$p=\frac{1}{10}$
MAT330/681 LECTURE 11 (3/9/2022): BERNOULLI AND BINOMIAL RANDOM VARIABLES
• Announcements: Please remember that HW5 is due tonight. Solutions will be posted shortly, as well as the next homework assignment HW6.
• Video 1: Types of Random Variables, and a first example: Bernoulli random variables: Download file or watch below
• Video 2: Binomial random variables: Download file or watch below
• Video 3: Problem involving a Binomial random variable: Download file or watch below
• Video 4: Comparing shapes of Binomial distributions: Download file or watch below
You can play with the parameters of a Binomial distribution and see how they affect its shape here.
• Histograms with $n=5,50,100$ and $p=\frac12,\frac14,\frac{1}{10}$. Click on the image to make it larger, and use the link above for an interactive way of visualizing this.
$p=\frac12$
$p=\frac14$
$p=\frac{1}{10}$
• Video 5: Problem involving conditional probability and a Binomial random variable: Download file or watch below
Some more details on this problem and a concrete numeric realization are given in today's notes.