Assume that the peak wind-induced pressure during a windstorm on a high-rise building is given as 1 P=c1+2c2 where: C1 = wind-induced pressure from South C2 = wind-induced pressure from West P = pressure (kPa). C, R, and V are statistically independent. They are normally distributed with the following respective means (u) and c.o.v.'s (coefcient of variation; 6'): \"C1 = 1.80 6C1 = 0.20 {.162 = 2.3 562 = 0.10 Hint: coefcient of variation is given as the ratio of the standard deviation (0) to the mean (p). The two wind-induced pressure has a correlation coefcient of 0.6. (a) Find its parameters, pp and a}, (b) Find probability of P exceeding 5 kPa. Assume that the wind resistance of the building (denoted as B) is lognormal with the following mean and c.o.v. p3 = 90 63 = 0.15 (c) Find the parameters of B, 23 and 63. (d) Find the probability of failure during a Windstorm. (e) The occurrences of windstorms follow a Poisson process with a mean rate of once every 5 years. Find the probability of failure of the structure in 25 years. (Hint: read the problem as at least one failure occurring in 25 years)