It follows that in this case, except for constant factors,g_1(x) and g_2(y) must be the marginal p.d.f.’s of X and Y for x≥0 and y ≥0. By choosing constant that make g_1(x) and g_2(y) integrate to unity, we can conclude that the marginal p.d.f.’s f_1and f_2 of X and T must be as follows