2. Five cylinders are placed between two smooth walls. The weights of the five cylinders are independently and normally distributed with w_i ~ N(µ_i, σ_i), i=1,2,…5, where w_i=25 lb (i=1,2…5), and σ₁=0.3, σ₂=0.2, σ₃=0.3, σ₄=0.4 and σ₅=0.4, respectively. Determine the normal reactions at points A and B.

Answer: N_A ~ N(173.21, 1.45²) lb

N_B ~ N(125, 0.73²) lb