A point (X, Y ) in the Cartesian plane is uniformly distributed within the unit circle if X and Y have joint density Fi...

Question

Question

A point (X, Y ) in the Cartesian plane is uniformly distributed within the unit circle if X and Y have joint density

1, 22 + y2 <1, f(x, y) = { 1 0, otherwise.

Find the marginal densities fX and fY and state whether X and Y are independent or not. Provide a mathematical justification for your answer.

Answer 1

Answer #1

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Answer 2

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