Question: 487/5000 A computer lab has three laser printers and five toner cartridges. Each machine requires a toner cartridge that lasts an amount of time with

487/5000

A computer lab has three laser printers and five toner cartridges. Each machine requires a toner cartridge that lasts an amount of time with exponential distribution averaging 3 days. When a toner cartridge is empty, it is sent to a repairman who takes an exponential amount of time with an average of 0.5 day to refill it. a) Determine the matrix Q. b) Calculate the stationary distribution. c) How often do all three printers work?

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