The following data set show 30 years of annual rainfall totals in the Los Angeles area. Use this data to answer the questions below. Annual Rainfall Year Totals (inches) 2020 to 2021 5.82 2019 to 2020 14.86 2018 to 2019 18.82 2017 to 2018 4.79 2016 to 2017 19.00 2015 to 2016 9.65 2014 to 2015 8.52 2013 to 2014 6.08 2012 to 2013 5.85 2011 to 2012 8.69 2010 to 2011 20.20 2009 to 2010 16.36 2008 to 2009 9.08 2007 to 2008 13.53 2006 to 2007 3.21 2005 to 2006 13.19 2004 to 2005 37.25 2003 to 2004 9.24 2002 to 2003 16.49 2001 to 2002 4.42 2000 to 2001 17.94 1999 to 2000 11.57 1998 to 1999 909 1998 to 1999 9.09 1997 to 1998 31.01 1996 to 1997 12.40 1995 to 1996 12.46 1994 to 1995 24.35 1993 to 1994 8.11 1992 to 1993 27.36 1991 to 1992 21.00 Question 1 Determine the mean and skew provide. Question 2 variance 20 pts standard deviation for the 30 years of annual rainfall data Using the 30 years of annual rainfall. Determine the probability that the rainfall will be greater than the mean rainfall. Please report answer as a decimal number. Question 3 10 pts 15 pts In the next 10 year what is the exact probability that in exactly 5-yrs, there will be rainfall greater than the mean rainfall. Question 4 15 pts In the next 10 years at least 5 years will have annual rainfall greater than the annual mean rainfall. The following function provides the probability of a dam not being at capacity: d (i) = {w = 0 for i d (i) = { wi for i = 1, 2, 3....10 d (i) = {0 otherwise Question 5 What is the value of w that make the equation above valid? (report in decimal) Question 6 10 pts 10 pts Based on the equation above that you have made valid. What is the probability that the dam does not have capacity exactly 4 times.