Description
Your task: submit a single PDF document with the answers to the following problems.
1. Complete the following (method to implement empirical data in a tree):
a. Determine the 0.05, 0.10, 0.25, 0.50, 0.75, 0.90, 0.95 quantiles for the high temperature recorded on March 17. . The data for years between 1995 and 2014 is shown below.
b. Plot your assessed quantiles as a CDF.
c. Construct a three-point approximation to the distribution using the extended Pearson-Tukey method. Show the three temperatures, fractiles, and probabiltities in a table.
d. Construct an approximation using the extended Swanson-Megill method. Show the three temperatures, fractiles, and probabiltities in a table.
2. Complete the following (method to implement a continuous distribution in a tree):
a. Suppose you know the expected life of an engine is exponentially distributed with a mean life of 1000 hours.
b. Construct a three-point approximation to the distribution using the extended Pearson-Tukey method. Show the three Engine Hours, fractiles, and probabiltities in a table.
c. Construct a three-point approximation to the distribution using the extended Swanson-Megill method. Show the three Engine Hours, fractiles, and probabiltities in a table.
High temperature on St. Patrick’s Day in Chicago
2014 41
2013 38
2012 73
2011 70
2010 62
2009 70
2008 43
2007 38
2006 42
2005 55
2004 35
2003 71
2002 42
2001 35
2000 37
1999 71
1998 46
1997 51
1996 54
1995 63
