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a.) Represent the number of cars in the car wash as a continuous time Markov chain. Draw the transition rate graph and write down the
a.) Represent the number of cars in the car wash as a continuous time Markov chain. Draw the transition rate graph and write down the rate matrix Q and the embedded transition probability matrix R. b.) Explain why this chain has a unique invariant distribution . Set up a system of equations you solve to find ; you don't need to actually solve the system. Note: You may express your answers to the subsequent parts in terms of
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