A petroleum storage tank sits on a foundation with 4 soil layers beneath. The layers are labelled alphabetically, A through D. Total settlement of the tank is the weighted sum of the thicknesses of each layer of soil, thus T5 = 0.2A + 0.3B + 0.2:: + 0.40. with TS in centimeters. Each soil layer is an independent random variable, in meters, as follows: A is Normal with a mean of4 and a standard deviation of 1 B is Lognormal, with a mean of 8 and a standard deviation of 2 C is Normal with a mean of 5 and a standard deviation of 1 D is Lognormal, with a mean of 2 and a standard deviation of 0.5 Use Monte Carlo Simulation to determine the following. a] What is the probability that the settlement will exceed 5 cm? b} If B and C have a correlation coefficient ofD.3, and the total thickness of the soil layers is 25 m, what is the probability that the settlement will exceed 5 cm