3. The shape of the drainage basin can be approximated by a polygon, whose vertices are located at the following coordinates: (5,5), (-5,5), (-5,-5), (0.-10), and (5,-5). The rainfall amounts of a storm were recorded by several rain gages situated within and nearby the basin as shown in the table. All coordinates are expressed in kilometers. Determine the average rainfall on the basin by (a) arithmetic- mean method, (b) the Thiessen method, and (c) the isohyetal method. Gage Number 1 23456789 Coordinates (7,4) (3,4) (-2,5) (-10,1) (-3,3) (-7,7) (2,-3) (2,-10) (0,0) Recorded Rainfall mm 63 59 41 39 105 98 60 41 81

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Probability, risk and uncertainty analysis for hydrological design

It gives a framework that is financially critical for finding the exceptional designs of hydrological systems with a reduced cost in total inclusive of the project cost and the disaster mitigation cost. But there would be hardly any assessment of a decent quality damage function. Hence, errors in demonstrating the hydrologic events, incorrect model parameters, and so on may occur. Here, we will discuss a specific hydrological design that of a detention basin for studying and understanding the risk-based procedure, uncertainties, and probability analysis by following a systematic framework.