Consider a continuous-time Markov chain X(t) that has the jump chain shown in Figure 11.39. Assume

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Consider a continuous-time Markov chain X(t) that has the jump chain shown in Figure 11.39. Assume λ1 = 1, λ2 = 2, and λ3 = 4.

a. Find the generator matrix for this chain.

b. Find the limiting distribution for X(t) by solving πG = 0.1  1 14 2 3 Figure 11.39 - The jump chain for the Markov chain of Problem 27.

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