Question: Two Generators, A and C share a power load. The load occurs at random according to a Poisson pr at a mean rate of 500

Two Generators, A and C share a power load. The load occurs at random according to a Poisson pr at a mean rate of 500 loads per year. The probability density function for the load (in watts) is exponential with mean of 2500 watts. Assume two generators share the load equally when both are operating. Generator A capacity is 5,000 watts. Generator C capacity is 7,500 watts. Generator A has a standby Generator B. Generator B capacity is 2,500 watts. Assume that Generator B experiences no failures in standby mode with perfect switching. 1. List of possible states of the system for the three generators. 2. Diagram each of the states with transition arrows showing associated transition probabilities. 3. Calculate the probabilities that the system is in each of its possible states. 4. What is the system reliability (static)? 5. What is the system reliability after 1 year, R(1)

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