1. The problem statement, all variables and given/known data X is uniform [e,f] and Y is uniform [g,h] find the pdf of Z=X+Y 2. Relevant equations f_z (t) = f_x (x) f_y (t-x) ie convolution 3. The attempt at a solution Obviously the lower pound is e+g and the upper bound is f+h so it is a triangle from e+g to f+h. The tip of the triangle still in the center of the distribution i.e. .5[e+g+f+h) so would the pdf be t for e+g< t < .5[e+g+f+h] g+h - t for .5[e+g+f+h] <t <g+h and 0 otherwise?