Consider a wind turbine with a cut-in wind speed of 4 m/s, a rated wind speed of 14 m/s, and a cut-out wind speed of 26 m/s. If the wind speed satisfies a Weibull distribution with the shape parameter k=2, and an average speed of 10 m/s. a. For how many hours per year will the turbine be shut down because of excessively high- speed winds? b. For how many hours per year the turbine has no power output because the wind speed is lower than the cut-in speed? c. If this is a 1.5-MW turbine, how much energy (kWh/yr) would be produced for winds blowing above the rated wind speed? d. This wind turbine is used for a pumped storage system; i.e., pumping water from a lake to a pond at an elevation of 200m above. Assume the pump has 75% efficiency and the pond is 5000 m big. Find the change in height of the water level in the pond if the turbine keeps working at its rate power for one day