In a certain region, there is an average of 0.6 ant nests per square kilometre and an average of 0.3 beehives per square kilometre. Suppose that the locations of ant nests are independent of other ant nests, the locations of beehives are independent of other beehives, and the locations of ant nests and beehives are independent of each other.

a) Suppose that a myrmecologist walks through the region searching for ant nests, and a melittologist also walks through the region searching for beehives. Let be the area covered until the myrmecologist finds the second ant nest, and be the area covered until the melittologist finds the first beehive. Identify and justify, which distributions and H follow.