Revision as of 04:50, 18 March 2013

Practice Problem: Determine if X and Y are independent

Two continuous random variables X and Y have the following joint probability density function:

$ f_{XY} (x,y) = C e^{\frac{-(4 x^2+ 9 y^2)}{2}}, $

where C is an appropriately chosen constant. Are X and Y independent? Answer yes/no and give a mathematical proof of your answer.

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