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rosh300
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Homework Statement
[tex]\D = \{(x,y) \in \mathbb{R}^2 | x^2 + y^2 \leq 1\} [/tex] i.e. a disc or radius 1.
Write down the pdf f_{xy} for a uniform distribution on the disc.
Homework Equations
The Attempt at a Solution
[tex] f_{xy} = \frac{(x^2 + y^2)}{\pi} \mbox{for} x^2 + y^2
0 \mbox{otherwise}[/tex]
as the area of the disc [tex]\pi[\tex] and to make it uniform you divide by [tex]\pi[\tex] so the probability integrates to 1
i apologise in advance for posting the same thing twice. i don't know how to delete 1 of them
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