The maximum annual discharges of Red River at Fargo, USA are given below. Year 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 Qp (ft/s) 981 18900 1220 2630 2590 10100 11200 11000 9940 28000 8610 Year Qp (ft/s) 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 4900 5630 20300 4250 6710 5430 9810 19900 13500 4840 29500 Year 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019 2020 Qp (ft/s) 21200 27200 4120 16200 10400 4920 3370 5660 6842 3670 12000 a) Determine the magnitude of the 100-yr flood discharge in m/s at Red River, Fargo using annual daily peak flow observed data given between 1988-2020 by assuming following distributions: 1. Normal Distribution ii. iv. b) Determine the return period of 2011 Flood if the following distributions fit the data. i. Log Normal Distribution ii. Extreme-Value Distribution Log-normal Distribution Extreme-Value Distribution Log Pearson Type III Distribution