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Hello. how do i solve this? i found generator Q matrix, but i am not sure how to calculate fraction of the time Consider a

Hello. how do i solve this?

i found generator Q matrix, but i am not sure how to calculate fraction of the time

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Consider a workshop that has five machines and one repairperson. The machines work independently from one another: A machine fails after a time that is exponentially distributed with parameter ,u :02 per hour. If a machine is down it is repaired in an Expo(7\\) distributed amount of time, where A = 0.5 per day. At most one machine can be under repair at any given time. Calculate the fraction of time that the repairperson is idle/ unoccupied in the long run

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