My home uses two light bulbs. On average, a light bulb lasts for 150 days (exponentially distrvuted). When a light bulb burns out, it takes an average of 10 days (exponentially distributed) before I replace the bulb (I'm not that lazy in real world). • Formulate a three-state birth-death model of this situation. • Determine the fraction of the time that both light bulbs are working. • Determine the fraction of the time that no light bulbs are working.

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