Consider that a ball is thrown with a random angle 0 € [0,360) (in degrees) and a random radius r € [0,1] (in meters) both independent and uniform. Calculate the density of the variables X and Y (the...

Extracted text: Consider that a ball is thrown with a random angle 0 € [0,360) (in degrees) and a random radius r € [0,1] (in meters) both independent and uniform. Calculate the density of the variables X and Y (the cartesian coordinates of the point at angle 0 and radius r) as well as their expectation and variance.