5. The Cauchy distribution is a flexible distribution for continuous data that have heavy tails. Take a look at the Cauchy distribution on Wikipedia to familiarize yourself with it. In R' the density of a Cauchy random variable can be obtained using the \"dcauchy\" command. a. Using the \"rcauchy\" command in R, simulate 200 random variables, each with distribution It ~ Ca.uchy(2,5) where the the location parameter is equal to 2 and the \"shape\" parameter is equal to 5. Plot a histogram of your simulated data. b. Use \"optim\" in R to numerically find the lvlLEs of both parameters in this model using the data you simulated. Show all code used. and clearly show your estimate. How closely does your estimate match the true values you used to simulate data