Reference no: EM132858280

(a) Write the R function runifmin() that has three arguments, n, a, and b, and returns the minimum of a vector of n random numbers from the uniform distribution Unif(a,b). Make the arguments a and b optional with default values of 0 and 1, respectively.

(b) Write the R code that replicates runifmin() hundred thousand times with input parameters n = 25, a = 0, and b = 4, and saves it to a vector v. Plot a histogram of vector v.

(c) Write the R code that plots the empirical density of a vector v over a histogram obtained in part (b).