Uniform distribution on the disc

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Homework Statement



consider a disc of radius 1 in the plane D in R^2
D = {(x,y) in R^2 | x^2 + y^2 <=1 }
what is the marginal pdf of x and y

Homework Equations





The Attempt at a Solution


so the joint distribution of xy is 1/Pi for x^2 + y^2 <=1 right?
but how exactly? "density" = "probability" / "area"
area = Pi since Pi*(1)^2 what about the probability? why is it 1?

what is the marginal pdf of x and y?
is it integral of 1/Pi from -infinity to +infinity wrt to y for marginal pdf of x?
 
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why did you post this in two locations? look at your other post.
 

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