Practice Problem: What is the conditional density function


Let (X,Y) be a 2D random variable that is uniformly distributed inside the ellipse defined by the equation

$ (\frac{x}{a})^{2}+(\frac{y}{b})^{2}=1, $

for some constants a,b>0. Find the conditional probability density function $ f_{X|Y}(x|y). $


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Answer 1

Hint:

Same as the second problem.
Area of the ellipse is $ \pi ab $

Answer 2

Write it here.

Answer 3

Write it here.


Back to ECE302 Spring 2013 Prof. Boutin

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