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A basement uses two light bulbs. On average, a light bulb lasts 22 days, exponentially distributed....

A basement uses two light bulbs. On average, a light bulb lasts 22 days, exponentially distributed. When a light bulb burns out, it takes an average of 2 days, exponentially distributed before it is replaced.

a. Construct the rate diagram for this three-state birth-death system.

b. Find the steady-state probability distribution of the number of working lights.

Math   Statistics-And-Probability   
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