Problem 2. Offshore structures are designed by considering the largest wave crest, C, seen in a 3hour storm. It is important to set the deck of offshore structures higher than this crest, in order to avoid impact with the extreme wave crest. For example, many oil platforms in the Gulf of Mexico were heavily damaged by extreme waves (rather than wind) during Hurricane Katrina in 2005. a) b) d) Consider a 3-hour storm to be composed of 1000 individual wave crests. C = max(Sl. $2. J 51000) in which the individual wave crests S,- are mutually independent, with the following identical probability distributions: 52 p5,