1. (a) Generate 100 iid Unif(0,1) (use runif ) random variables and store them in u. Apply the function - log(1 - u) to each element, and store the results in x. (b) Plot the histogram of x and overlay it with the density curve of exponential(1) (use dexp(x, rate=1) ) . Why do we have good agreement here? (Hint: - log(1 - u) is the inverse function of the c.d.f. of exponential(1).)