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U(~ 2. The random variables X , Y have a uniform joint distribution on the disk :62 + 3,12 5 R2, where R > 0,

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U(~ 2. The random variables X , Y have a uniform joint distribution on the disk :62 + 3,12 5 R2, where R > 0, that is c 3:2 + y2 S R; 0 otherwise. PX,Y (33: y) = { Find the value of the constant c. Find the marginal densities pX (m) and py (y). Are X and Y independent? X|Y

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