The time to failure for a computer control module is exponentially distributed, with a constant failure rate of 5 per 50,000 hours. The power supply for that control module operates in series with and has a constant failure rate of 10 per 50,000 hours. Since many failures of the power supply induce failures of the control module and vice versa, the times to failure for each device are correlated with a coefficient, LaTeX: \rho=0.75rho = 0.75. Generate a simulation with 2,000 iterations with these correlated times to failure. Create a scatter plot showing TTFcontrol module as a function of TTFpower supply. If each iteration is considered failed at the shortest component time to failure, report the MTTF of the system and the 5th and 95th percentile TTF for the system. (The resulting correlated uniform random number created for this problem will sometimes exceed 1.0; this is not completely acceptable in a formal analysis, but for the purposes of this problem, you can ignore it.)