Question

1. Problem 3, HW 4 revisited. An offshore structure with a design life of 20 years is planned for a site where extreme wave events may occur with a return period of 100 years (i.e. the 100-year wave). The structure is de- signed to have a 0.99 probability of not suffering damage within its design life. Damage effects between wave events are statistically independent (a) You found in HW 4 that the yearly probability of exceedance of the design wave height is p 1/100 0.01. Here, using the information provided above and a r.v. fon damage that follows a binomial distri- bution, find the probability of damage to the structure under a single extreme wave event (damage/exceedance) (b) Using the damage probability (damage/year) that may be determined from your results of part (a), what is the probability of damage to the structure in the next 10 years assuming the occurrences of extreme wave events follows a Poisson process? (c) How would your answer to part (b) differ had you assumed that ex treme wave events follow the binomial distribution?

**Knowing Problem 3, HW 4 is not needed**

Answer 1

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