(Solution Library) [5 + 5 = 10 pts] In a computer lab there is a printer which starts working at 9 a.m. and goes down after T hours, where T ~ exp(1/4). The


Question: [5 + 5 = 10 pts]

In a computer lab there is a printer which starts working at 9 a.m. and goes down after T hours, where T ~ exp(1/4). The time to repair it is R hours, where R ~ exp(1). Assume that the printer can go down at most once in a day and the repairing starts immediately after it goes down. What is the probability that the printer is working (a) at 1 p.m. (b) between 1 and 2 p.m.?

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