On a disc with origin (0, 0) and radius 1, a point (X, Y ) is selected by throwing a dart that hits the disc in an arbitrary place. This is best described by the joint probability density function f...

On a disc with origin (0, 0) and radius 1, a point (X, Y ) is selected by throwing a dart that hits the disc in an arbitrary place. This is best described by the joint probability density function f of X and Y , given by

where c is some positive constant.