(a) A catchment area has 5 rain gauge stations with annual recorded data for year 2010 in Table Q2-1. (i) Determine the standard error in the estimation of mean rainfall. (6 marks) (ii) Calculate the optimum number of rain gauge for a 10% error of mean rainfall. (2 marks) (iii) In year 2020, mean rainfall data is obtained with 1100mm for station A, 950mm for station B, 1250mm for station C, 1150mm for station D, but station E is inoperative. (2 marks) Estimate the mean rainfall in station E by using normal ratio method.

(a) A catchment area has 5 rain gauge stations with annual recorded data for year 2010 in Table Q2-1. (i) Determine the standard error in the estimation of mean rainfall. (6 marks) (ii) Calculate the optimum number of rain gauge for a 10% error of mean rainfall. (2 marks) (iii) In year 2020, mean rainfall data is obtained with 1100mm for station A, 950mm for station B, 1250mm for station C, 1150mm for station D, but station E is inoperative. (2 marks) Estimate the mean rainfall in station E by using normal ratio method.

Traffic and Highway Engineering

5th Edition

ISBN:9781305156241

Author:Garber, Nicholas J.

Publisher:Garber, Nicholas J.

Chapter16: Highway Drainage

Section: Chapter Questions

Problem 4P

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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.

Question

Table Q2-1 (b): Mean rainfall in rain gauge stations
E
Station
A
D
Rainfall (mm)
1103
1208
956
1214
1425

Q2.
(a) A catchment area has 5 rain gauge stations with annual recorded data for
in Table Q2-1.
year 2010
(i) Determine the standard error in the estimation of mean rainfall.
(ii) Calculate the optimum number of rain gauge for a 10% error of mean rainfall.
(6 marks)
(2 marks)
(iii) In year 2020, mean rainfall data is obtained with 1100mm for station A, 950mm
for station B, 1250mm for station C, 1150mm for station D, but station E is inoperative.
(2 marks)
Estimate the mean rainfall in station E by using normal ratio method.

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