1. Elementary Distribution Theory: Transforming a Bivariate Distribution Tutorial 9, STAT1301 Fall 2010, 23NOV2010, MB103@HKU By Joseph Dong

2. 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

3. Statement of The Prime Problem 3

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

5. Method 1: Using Calculus 5

6. Method 2: Using Probability 6

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

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