A dart board is shaped like the image on the right, with 20 equal-angle segments and six concentric regions with radii: . 0.5 and 1.25 inches for the bullseye's, . 3.8 and 4.2 inches for the inner rings, . 6.3 and 6.7 inches for the outer rings. The probability distribution for a particular player, aiming at the centre of the board, is given by the equation P = f(x, y) = 1 8TT e-(x2 +y?)/8. Part 1 Convert the probability distribution function to polar coordinates and verify that the prob- ability of hitting anywhere on the ry-plane is one