
A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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Question
Understanding Single Station Flood Frequency Analysis in Estimating Flood
For the flow dataset (42-years of annual flow values) described earlier: (a) fit the
data set on a normal probability paper and show computations in a tabular form, (b) fit the log-normal
distribution to this data set on a log-normal probability paper and show computations in a tabular form, (c) for
both of the fitted distributions, compute the 90% confidence limits for the fitted probability curves and also
show computations in a tabular form.
In each case as listed above predict the 100-year, 150-year, and 200-year floods and compare results and how
comparable are these results?

Transcribed Image Text:Analyse
For the English River with watershed area 6230 km'and located in Thunder Bay district of
Northwestern Ontario, find the median and mode-class of the discrete flow dataset as summarized
below in the table
Compute statistical parameters (mean, variance, coefficients of skewness, kurtosis, variation, and the
lag one correlation coefficient) for the discrete flow data set as summarized below in the table
(c)
Based on the assumption that the 42-year of flow data of the English River follow a normal probability
distribution (that is a theoretical distribution of flow being a continuous variable), compute the peak
flow estimates the corresponding probability of occurrence of 0.2,0.1, and 0.01.
887
(d)
Year
Flow (m'/s) Year Flow (m'/s)
1976
1977
138
1997
1998
144
79
69.4
1978
163
164
70.7
1999
132
152
1979
2001
2002
1980
224
1981
1982
75
2003
112
96.2
201
90.4
223
2004
1983
2005
1984
1985
118
2006
171
245
2007
154
1986
186
2008
175
197
1987
47.9
2009
1988
245
2010
222
185
2011
84.4
172
1989
1990
152
2012
102
2013
2014
191
1991
1992
222
201
1993
140
2015
235
1994
100
2016
125
1995
106
2017
90.8
1996
210
2018
121
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