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Two Examples of Expected Values & Functions: Temperature in C vs F, and the Kinetic Theory of Gases

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Steve Brunton 68 tutorials here
Mathematics

Two useful engineering examples of functions of a random variable arise in gas dynamics. First, we explore the simple conversion of temperature between C and F, and next we explore the temperature as derived from Maxwell’s distribution.

This video was produced at the University of Washington, and we acknowledge funding support from the Boeing Company

%%% CHAPTERS %%%
00:00 Intro
02:00 Expectation of aX + b
05:55 Variance of aX + b
09:15 Expectation of Kinetic Energy
15:10 Outro