L = 1. The parameter Fof a soil deposit can be estimated as: F-(C+ P sin oL Where C - cohesion (ksf); P = pressure (ksf) normal to the failure surface; 6 = friction angle of soil; and length of the failure surface = 15 ft. Assume C is normally distributed with a mean of 2 and a standard deviation of 0.3, P is uniformly distributed random variable between 2 and 3; and is lognormally distributed with a mean of 25 degrees and a standard deviation of 5 degrees. Consider all random variables are statistically independent (a) Determine the first-order mean of F. (b) Determine the first-order variance of F. (c) Determine the second-order mean of F. 2. Consider Problem 1 again. Using 5 cycles of simulation, calculate the mean and variance of F. Use only the uniform random number between 0 and 1 given in Table 9.1, page 253. rytensive experimental L = 1. The parameter Fof a soil deposit can be estimated as: F-(C+ P sin oL Where C - cohesion (ksf); P = pressure (ksf) normal to the failure surface; 6 = friction angle of soil; and length of the failure surface = 15 ft. Assume C is normally distributed with a mean of 2 and a standard deviation of 0.3, P is uniformly distributed random variable between 2 and 3; and is lognormally distributed with a mean of 25 degrees and a standard deviation of 5 degrees. Consider all random variables are statistically independent (a) Determine the first-order mean of F. (b) Determine the first-order variance of F. (c) Determine the second-order mean of F. 2. Consider Problem 1 again. Using 5 cycles of simulation, calculate the mean and variance of F. Use only the uniform random number between 0 and 1 given in Table 9.1, page 253. rytensive experimental