The article “On Assessing the Accuracy of Offshore Wind Turbine Reliability-Based Design Loads from the Environmental Contour Method” (Intl. J. of Offshore and Polar Engr., 2005: 132–140) proposes the Weibull distribution with and as a model for 1-hour significant wave height (m) at a certain site.

a. What is the probability that wave height is at most .5 m?

b. What is the probability that wave height exceeds its mean value by more than one standard deviation?

c. What is the median of the wave-height distribution?

d. For , give a general expression for the 100pth percentile of the wave-height distribution.