Assume a disk subsystem with the following components and MT…

Assume a disk subsystem with the following components and MTTF: • 10 disks, each rated at 1,000,000-hour MTTF• 1 ATA controller, 400,000-hour MTTF• 1 power supply, 200,000-hour MTTF• 1 fan, 300,000-hour MTTF• 1 ATA cable, 1,000,000-hour MTTF Using the simplifying assumptions that the lifetimes are exponentially distributed and that failures are independent, compute the MTTF of the system as a whole.