Question: 1. Consider two machines. Machine i operates for an exponential time with rate i and then fails, its repair time is exponential with rate i

1. Consider two machines. Machine i operates for an exponential time with rate i and then fails, its repair time is exponential with rate i , i = 1, 2. The machines act independently of each other. Define a four-state continuous time Markov chain that jointly describes the condition of the two machines. Use the assumed independence to compute the transition rates for this chain.

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