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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.
