Using the results of Problem 5, determine the risk of the loading exceeding the capacity of the main pipe. Consider that MS = Q_c − Q_L and MS follow the normal distribution.

Data from problem 5 Determine the coefficient of variation of the loading and the capacity for a main pipe of a water distribution network with the parameters given in Table 11. 8. Consider a uniform distribution for definition of the uncertainty of each parameter.

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TABLE 11.8 Characteristics of Main Pipe of Problem 5 Parameter Mode Water demand 10m/s 150 800 mm D So 0.001 m/m Range 8-12m/s 145-155 600-1000mm 0.0009-0.0011 m/m