5. [[Modified problem from Ross' Probability textbook]] Servicing a particular machine requires two separate steps, with the
time required for the first step being an exponentially distributed random variable with mean 0.2 hours, and the time for
the second step being an independent exponentially distributed rv with mean 0.3 hours. A company has 50 machines that
need to be serviced and want to set aside a budget for this that will cover the total amount of time needed to service the
50 machines with probability 0.9. That is, we want to find the time duration \(\tau\) such that we are 90% sure the total time to
repair the 50 machines will be \(\le \tau\). Solve this problem using (a) a Normal approximation (b) a simulation.