1. Consider a continuous-time Markov chain with stationary probabilities { , and let T denote the…

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1. Consider a continuous-time Markov chain with stationary probabilities {, and let T denote the first time that the chain has been in state 0 for r consecutive time units Find E[T|X(0) = 0]

2. Find the limiting probabilities for the M/M/s system and determine the condition needed for these to exist.

 

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