A two-bar symmetric pin-connected truss shown on right is subject to a vertical load P. (a) If the load P has a normal distribution with = 10,000 lbs and = 1,000 lbs. Select the cross-sectional area A of the steel bars (yield strength = 30, 000 psi) so that the probability of failure of the truss does not exceed 0.006. Then use the obtained A to determine the factor of safety if P = 10, 000 lbs. All parameters except the load are deterministic. (b) If the yield strength is also random with = 30,000 psi and = 3,000 psi, determine A so that the probability of failure of the truss does not exceed 0.006. With the obtained A, determine the factor of safety if = 10,000 lbs and = 30, 000 psi.