3.42 An offshore platform is built to withstand ocean wave forces. (a) The annual max. wave height of the ocean waves (above mean sea level) is a random variable with a Gaussian distribution having a mean height of 4.0 m and a c.o.v. of 0.80. What is the probability that the wave height will exceed 6 m in a given year? (b) If the platform were to be designed for a wave height (above mean sea level) such that it will not be exceeded by ocean waves over a period of 3 yr with a probability of 80%, what should be the platform height above the mean sea level? Wave height exceedances between years are statistically independent. (c) Suppose that ocean waves exceeding 6 m will occur according to a Poisson process and that each of these waves could potentially cause damage to the platform with a probability of 0.40. What is the probability that there will be no damage to the platform in 3 yr? Damage to platform between waves are s.i