Linear Transformation of Random Variables

Here is the video version of Lesson 35 from Stat Trek's free online tutorial covering the complete curriculum for Advanced Placement (AP) Statistics.

About This Video

Sometimes, it is necessary to apply a linear transformation to a random variable. This video lesson explains how to make a linear transformation and how to compute the mean and variance of the result. Key points are illustrated through sample problems with step-by-step solutions.

A written version of the material covered in this video is available at https://stattrek.com/random-variable/transformation.

About Stat Trek's Video Series

A little history: About two decades ago, Stat Trek produced a free online tutorial covering the complete curriculum for AP Statistics. The tutorial, which can be found at https://stattrek.com/tutorials/ap-statistics-tutorial, was to designed to help students prepare for and pass the AP Statistics exam. Consisting of 69 easy-to-understand written lessons, the tutorial was very well-received.

Of course, there is always room for improvement. With that in mind, some students suggested supplementing the written lessons with video instruction. The Stat Trek video series is our response to that suggestion. So far, we've produced 45 video lessons, one video lesson for each of the first 45 written lessons from Stat Trek's' AP Statistics Tutorial.

The work continues. We're adding videos little by little. Eventually, we intend to have a video for each of the 69 written lessons from the tutorial.