Choose a point uniformly at random in that half of the unit disk that is to the right of the y-axis. In other words, choose a point uniformly at random from the set {(x, y) : x > 0, x^2 + y^2 < 1}. Let S be the slope of the line through the chosen point and the origin. a) Find the cumulative distribution function of S. b) Find the probability density function of S.