5. Plate AB has a random weight W ~ N(10, 0.02²) lb due to manufacturing imprecision. Determine the distribution of normal forces at A and B if the inclined wall is smooth and the static coefficient of friction between the plate and horizontal wall is .

Answer: N_A ~ N(7.487, 0.015²) lb and N_B ~ N(3.91, 0.0078²) lb.