It is assumed that the position (X, Y ) of the glass shards on a truck windshield caused by caused by rock impacts is distributed according to the joint density f defined by: f (x, y) =kxy(2 - x) 0 x 2, 2 y 1 0 elsewhere 1. Determine the constant k making f a joint density. 2. What is the marginal distribution of the height of the burst Y?