For the flow dataset (42-years of annual flow values) described earlier: (a) fit the normal distribution to this 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? please solve this question becuase i am struggling a lot

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.1: Systems Of Equations
Problem 44E
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For the flow dataset (42-years of annual flow values) described earlier:

(a) fit the normal distribution to this 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?

please solve this question becuase i am struggling a lot

 

 

Year
Flow (m³/s)
Year Flow (m/s)
1976
138
1997
144
1977
79
1998
69.4
1978
163
1999
132
1979
164
2001
152
1980
70.7
2002
224
1981
75
2003
201
1982
112
2004
90.4
1983
96.2
2005
223
1984
118
2006
171
1985
245
2007
154
1986
186
2008
175
1987
47.9
2009
197
1988
245
2010
222
1989
185
2011
84.4
1990
152
2012
172
1991
102
2013
191
1992
222
2014
201
1993
140
2015
235
1994
100
2016
125
1995
106
2017
90.8
1996
210
2018
121
Transcribed Image Text:Year Flow (m³/s) Year Flow (m/s) 1976 138 1997 144 1977 79 1998 69.4 1978 163 1999 132 1979 164 2001 152 1980 70.7 2002 224 1981 75 2003 201 1982 112 2004 90.4 1983 96.2 2005 223 1984 118 2006 171 1985 245 2007 154 1986 186 2008 175 1987 47.9 2009 197 1988 245 2010 222 1989 185 2011 84.4 1990 152 2012 172 1991 102 2013 191 1992 222 2014 201 1993 140 2015 235 1994 100 2016 125 1995 106 2017 90.8 1996 210 2018 121
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