Your task: submit a single PDF document with the answers to the following proble

Your task: submit a single PDF document with the answers to the following proble

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
201441
201338
201273
201170
201062
200970
200843
200738
200642
200555
200435
200371
200242
200135
200037
199971
199846
199751
199654
199563