Choose a point uniformly at random from a rectangle with height 1 and width 3. (This means that the probability of the point landing in any region is the area of the region divided by the area of the entire rectangle.) Let X be the distance from the point to the nearest edge of the rectangle. Required:
a. Find a formula for F(x), the cumulative distribution function of X, when 0 <= x <= 1/2
b. Find a formula for the probability density function f(x) of X for 0 < x < 1/2.