2. A pole is subjected to two loads, PI and P2 so that the bending moment at the bottom of the pole is PI MA = 30F. zap2 Here, PI is NORMAL random variable with mean SOkN and standard P2 . deviation 5 kN; P2 is another normal random variable with mean 20 kN and standard deviation 3 kN. (a) Determine the mean and stande 30m deviation of the bending moment at the bottom of the pole; (b) If the 20m moment-resisting capacity at the bottom of the pole is MR, a NORMAL random variable with mean 1750 kN-m and standard deviation of 150 kN-m, what is the probability that the pole will fail under the loads P1 and P2? What is the associated reliability index