Suppose that you put a laser pointer at the point (0, −1) in the plane, and orient it in a random direction. Let θ be the random variable representing the angle of the laser pointer from the y-axis, and assume that θ is uniformly distributed in the interval (− π/2 , π/2 ). Let X be the coordinate where the laser beam hits the x-axis. Find the distribution of X and the expected value of X.