Using the estimates of the statistical parameters obtained in Problem # 2 for the flow dataset (42-years of flow data set) and based on the assumption that the given flow data set (42-year of flow values) follows a particular theoretical (Normal, Log-Normal, Gumbel, Log Pearson Type III) probability distribution, answer the following questions. (a) What is the 100-year flood? (b) What is the probability that a flood will be less than or equal to 10,000 m3/s? (c) Compare the results obtained above in parts (a) and (b) in a tabular format and comment on the adequacy and applicability of the theoretical distribution in the estimation of floods

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Using the estimates of the statistical parameters obtained in Problem # 2 for the flow dataset (42-years of flow data set) and based on the assumption that the given flow data set (42-year of flow values) follows a particular theoretical (Normal, Log-Normal, Gumbel, Log Pearson Type III) probability distribution, answer the following questions.
(a) What is the 100-year flood?
(b) What is the probability that a flood will be less than or equal to 10,000 m3/s?
(c) Compare the results obtained above in parts (a) and (b) in a tabular format and comment on the adequacy and applicability of the theoretical distribution in the estimation of floods

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