Assume the X and Y miss distances of darts thrown at a bulls-eye dart board are Gaussian with zero mean and variance o.

(a) Determine the probability that a dart will fall between 0.80 and 1.20.

(b) Determine the radius of a circle about the bull's-eye that contains 80% of the darts thrown.

(c) Consider a square with side s in the first quadrant of the board. Determine s so that the probability that a dart will fall within the square is 0.07.