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Consider a continuous-time Markov chain on I = {1, 2, 3, 4} such that (1) the holding time of any i I is exponential with

Consider a continuous-time Markov chain on I = {1, 2, 3, 4} such that (1) the holding time of any i I is exponential with parameter i, and (2) at the end of the holding time, the Markov chain jumps to one of the other states according to a discrete uniform distribution. Find the Q-matrix.

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