Mathematics, 03.03.2020 03:47 mat1413

A light bulb has a lifetime that is exponential with a mean of 200 days. When it burns out a janitor replaces it immediately. In addition there is a handyman who comes at times of a Poisson process at rate .01 and replaces the bulb as "preventive maintenance." (a) How often is the bulb replaced? (b) In the long run what fraction of the replacements are due to failure?

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A light bulb has a lifetime that is exponential with a mean of 200 days. When it burns out a janitor...