(30 pts.) According to the Darcy-Weisbach equation, the loss in power-generating capacity (P) in a hydroelectric system due to head loss (H) is: P QH =ηγ where η is turbine efficiency, γ the specific gravity of water, Q the volumetric flow rate, and H the head loss. Measurements over a particular stretch of time yielded the summary data below: Parameter Mean value Standard deviation η 0.85 0.02 γ 9800 N/m3 0.0 N/m3 Q 60 m3 /s 1.00 m3 /s H 3.71 m 0.10 m a) What is the uncertainty (variance) in P that can be attributed to variations in the above measurements? b) Which of the following actions would provide the greatest reduction in uncertainty in P: a) reduce uncertainty in η to 0.01, reduce uncertainty in Q to 0.5, or reduce uncertainty in H to 0.05?