A 6MeV electron beam incident on a 0.1mm foil of gold has a Gaussian-like radial profile (centered on the beam axis) at the exit of the foil with an FWHM of 1 mm. (a) Determine the variance of the distribution and (b) perform a Monte Carlo sampling of the transverse coordinates, making a histogram of the sampled values. As verification, compare with the corresponding analytically determined Gaussian distribution. Provide code and explanations. Answer: Gaussian = 0.425 mm (FWHM = 2.3548 ). Sampling is made using Eq. (8.19) in the textbook. 8.19 is y1 = (2 ln 1)^1/2 cos 22 y2 = (2 ln 1)^1/2 sin 22