MAT330/681 LECTURE 14 (3/21/2022): UNIFORM AND NORMAL RANDOM VARIABLES
• Announcements: Today's lecture was conducted in person, but, as an alternative, you will find below a sequence of videos covering the same topics, as well as the PDF file with the corresponding notes. Please remember that HW7 is due Wednesday, as usual. The next two classes will be held remotely asynchronously, as per our day-by-day schedule.
• Video 1: A quick recap of Uniform Random Variables and an exercise: Download file or watch below
• Video 2: Normal random variables: Download file or watch below
By the way, you can play with the parameters $\mu$ and $\sigma^2$ of a Normal distribution and see how it affects the shape of the probability density function here.
• Video 3: Verifying that the pdf of a normal random variable is indeed a pdf: Download file or watch below
• Video 4: Affine functions of normal random variables, and standardization: Download file or watch below
• Video 5: Using standardization of a normal random variable to solve a problem: Download file or watch below