An SDF system with viscous damping ; 0.03 is excited by white-noise excitation F(r) ' having a constant power spectral density of 5 x 106 N2/Hz. The system has a natural frequency of to. = 30 rad/s and a mass of 1500 kg. Determine a. Assuming Rayleigh distribution for peaks, determine the probability that the maximum peak response will exceed 11037 m.