1. Let Yi, Yo ~ uniform(0, 1), and consider U = Y? + Y?. In the following parts you will find the distribution of U. (a) The plots below show the support set of (Y1, Y2). Draw the boundary U = r2 for some Draw the boundary U = 72 for some T E (0, 1] and shade the region {U r?}. re (1, v2) and shade the region {U $ 72}. V/1 1/2 (b) Find P(U