In: Civil Engineering
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).