joint prob. density: fX,Y (x, y) = 1/pi, x^2 + y^2 ≤ 1; = 0 otherwise

terrycui

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Let X and Y be continuous, real-valued random variables with joint probability density
function
fX,Y (x, y) = 1/pi, x^2 + y^2 ≤ 1;
fX,Y (x, y) = 0, otherwise.
What is the joint probability density function for X + Y ?
 
Let X and Y be continuous, real-valued random variables with joint probability density
function
fX,Y (x, y) = 1/pi, x^2 + y^2 ≤ 1;
fX,Y (x, y) = 0, otherwise.
What is the joint probability density function for X + Y ?

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