Assume the \(X\) and \(Y\) miss distances of darts thrown at a bull's-eye dart board are Gaussian with zero mean and variance \(\sigma^{2}\). (a) Determine the probability that a dart will fall between \(0.8 \sigma\) and 1.2 \(\sigma\). (b) Determine the radius of a circle about the bull'seye 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 .