Question
The time to failure for a computer control module is normally distributed, with a mean of 10,000 hours and a standard deviation of 1,500
The time to failure for a computer control module is normally distributed, with a mean of 10,000 hours and a standard deviation of 1,500 hours. The power supply for that control module operates in series with it and has a normally distributed time to failure of 5,000 hours and a standard deviation of 750 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 of p=0.75. Generate a simulation with 5,000 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. (If any component time to failure is a negative value, you may replace that with a zero.)
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