Generating Order Statistics: There are 100 identical components operating inde- pendently in a system. Each component has a lifetime, X, that has an exponential distribution with a mean of 6 days....

Extracted text: Generating Order Statistics: There are 100 identical components operating inde- pendently in a system. Each component has a lifetime, X, that has an exponential distribution with a mean of 6 days. Generate the time until the first component fails from a single uniform random number, U? Show your steps.