5. Let X and Y be i.i.d. U(0,1). Let Z = min(X, Y) and W = X + Y. (a) Find the cumulative distribution function for Z and W. (b) For each of these two random variable Z and W, give two different algorithms to generate the random variates. One algorithm that uses exactly one random number per random variate, the other algorithm may use more than one random numbers per random variate