- The annual precipitation measurements (Pi in cm) for Mcity, over a 20year period are shown in the following table.Determine the mean, standard deviation, and skew coefficient forthis series.
Year | Pi(cm) | Year | Pi(cm) |
1999 | 44.2 | 2010 | 39.2 |
2000 | 47.6 | 2011 | 38.3 |
2001 | 38.5 | 2012 | 46.1 |
2003 | 35.8 | 2013 | 33.1 |
2004 | 40.2 | 2014 | 35.0 |
2005 | 41.2 | 2015 | 39.3 |
2006 | 39.8 | 2016 | 42.0 |
2007 | 39.7 | 2017 | 41.7 |
2008 | 40.5 | 2019 | 37.7 |
2009 | 42.5 | 2019 | 36.6 |
- Annual precipitation measurements (Pi in cm) for M City, weregiven in Problem 1. Determine the magnitude of the 10-yearprecipitation depth if the data fit:
- the normal distribution.
- the Gumbel distribution.
How many times was the P10 (normal) exceeded in the20-year annual precipitation record given in Problem 1 ?
Please clarify each step of the solution
