Elementary Distribution Theory: Transforming a Bivariate Distribution Tutorial 9, STAT1301 Fall 2010, 23NOV2010, By Joseph Dong.

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Presentation transcript:

Elementary Distribution Theory: Transforming a Bivariate Distribution Tutorial 9, STAT1301 Fall 2010, 23NOV2010, By Joseph Dong

A Guide This topic is mainly technical, you should focus on the handout problems more than the slides. ▫Try to solve them multiple times until you experience the Eureka. Try more exercises elsewhere such as in lecture notes and slides, assignments, and extra exercises. 2

Statement of The Prime Problem 3

Two Methods Method 1: Using CalculusMethod 2: Using Probability 4

Method 1: Using Calculus 5

Method 2: Using Probability 6

Key Technical Skills Solving systems of inequalities Graphing systems of inequalities Integration Differentiation 7

Handouts Review part: ▫The 4 arithmetic transformations of two random variables. Problems 8