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Mathematics, 14.04.2020 18:42 hailiemanuel3461

A professor has two lightbulbs in her garage. When both are burned out, they are replaced, and the next day starts with two working lightbulbs. Suppose when both are working, one of the two will go out with probability 0.03, and we cannot lose both lightbulbs on the same day. However, when only on lightbulb works, it will burn out with probability 0.05. What is the long-run fraction of time that there is exactly one lightbulb working?

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