IQuestion 2: 20 points Consider a three-component stand-by system where atleast one component needs to be working for the system to be operational. Initially, the first component (C) is the working component and the second and third components (C and C3) are in standby mode. The hazard rate of C, is 1, and the hazard rates of Cz are 17 (in standby mode) and 12 (in operating mode). Component C3 does not fail when in standby mode and has a hazard rate of 13 when in operating mode. (i) Draw the state evolution diagram and write down the hazard rates associated with various transitions (15 points). (ii) Write down the state equation corresponding to the state, FFW, where the first two components failed and the third component is the working component 15 points) IQuestion 2: 20 points Consider a three-component stand-by system where atleast one component needs to be working for the system to be operational. Initially, the first component (C) is the working component and the second and third components (C and C3) are in standby mode. The hazard rate of C, is 1, and the hazard rates of Cz are 17 (in standby mode) and 12 (in operating mode). Component C3 does not fail when in standby mode and has a hazard rate of 13 when in operating mode. (i) Draw the state evolution diagram and write down the hazard rates associated with various transitions (15 points). (ii) Write down the state equation corresponding to the state, FFW, where the first two components failed and the third component is the working component 15 points)