Problem 2 The Cauchy distribution with parameter 0 is defined as follows: 1 f(x) = 71+(x- 0)2' - 00

Problem 2 The Cauchy distribution with parameter 0 is defined as follows: 1 1 oc < 0 < 00. Use the Inverse Transform Method to generate 100,000 samples from the Cauchy distribution with parameter O 3. Report the median of your Monte Carlo sample obtained via the Inverse Transform Method and compare it to the median obtained from a Monte Carlo sample obtained via the built-in R function: rcauchy (100000 , 3)