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In: Civil Engineering

The maximum annual flows of a river can be modeled by the Gumbel law. The average...

The maximum annual flows of a river can be modeled by the Gumbel law. The average of flow rates calculated with 57 years of observations is 8 m3/s and the standard deviation is 2.4 m3/s. The region is flooded with damage when the flow exceeds 10 m3/s.

a) What is the return period of the 10 m3/s flow.

b) What is the throughput for a 100 year return period.

c) Determine the 95% confidence interval around the flow calculated in b).

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