Weibull distribution: From an analysis of wind speed data (hourly interval average, taken over a 1 year period), the Weibull parameters are determined to be \(c=6 \mathrm{~m} / \mathrm{s}\) and \(k=1.8\) at a potential WT site.

The Weibull PDF is given by

\[ p(U)=\left(\frac{k}{c}\right)\left(\frac{U}{c}\right)^{k-1} \exp \left[-\left(\frac{U}{c}\right)^{k}\right] \]

a. Estimate the number of hours per year that the wind speed will be between \(u_{B}=6.5\) and \(u_{A}=7.5 \mathrm{~m} / \mathrm{s}\) during the year.

b. Estimate the number of hours per year that the wind speed is above \(16 \mathrm{~m} / \mathrm{s}\).