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Let (X,Y) be a 2D random variable that is uniformly distributed inside the ellipse defined by the equation | Let (X,Y) be a 2D random variable that is uniformly distributed inside the ellipse defined by the equation | ||
| − | <math>\frac{x}{a}+\frac{y}{b}=1,</math> | + | <math>(\frac{x}{a})^{2}+(\frac{y}{b})^{2}=1,</math> |
for some constants a,b>0. Find the conditional probability density function <math>f_{X|Y}(x|y).</math> | for some constants a,b>0. Find the conditional probability density function <math>f_{X|Y}(x|y).</math> | ||
Revision as of 09:40, 12 March 2013
Contents
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
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Answer 2
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Answer 3
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