An offshore platform is built to withstand ocean wave forces.(a) The annual maximum 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 years with a probability of 80%, what should be the platform height above the mean sea level? Wave height exceedances between years are statistically independent.

Sustainable Energy
2nd Edition
ISBN:9781337551663
Author:DUNLAP, Richard A.
Publisher:DUNLAP, Richard A.
Chapter12: Wave Energy
Section: Chapter Questions
Problem 10P
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An offshore platform is built to withstand ocean wave forces.
(a) The annual maximum 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 years with a probability of 80%, what should be the platform height above the mean sea level? Wave height exceedances between years are statistically independent.

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