Question: Top question is #5 There are 2 components in parallel. When the system is operational you are in State 1. If the first 1 component

Top question is #5 There are 2 components in

Top question is #5

Top question is #5 There are 2 components in

There are 2 components in parallel. When the system is operational you are in State 1. If the first 1 component fails the system moves to state 2 but the second component operates and carries the load If the second component fails but the first component is still operating the state is in State 3. Finally if in state 2 or state 3 and the remaining component fails the state is changed to State 4. The state equations for the system just described are shown below: DP (t)/dt = -(11+12)P (t), dPz(t)/dt = 11P1(t) -13P2(t), dP3(t)/dt = 12P1(t) -14P3(t), P4+P2+P3+P4=1. . These equations are correct and sufficient to solve for state probabilities. 1 2 21 22 23 3 24 True O False . Using the work in Problem 5 The reliability of the system is R = P1+P3+P4 R = P1+P 2+P4 R = P +Pa+P3 R = P2+P3+P4 The solution of the state-space problem shown in question 5, when all the transition rates (1) are constants, is always some combination of exponential functions True False

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