(Note: solving this problem is best done with use of probability through the level of Markov chains.) You are designing a computer system to control the power grid for the Northeastern United States. If your system goes down, the lights go out and civil disorder-riots, looting, fires, etc.-will ensue. Thus, you have set a goal of having a system MTTF of at least 100 years (about 106 hours). For hardware you are constrained to use a building block computer that has a MTTF of 1000 hours and a MTTR of 1 hour. Assuming that the building blocks are fail-fast, memoryless, and fail independently of one another, how can you arrange to meet your goal