hines. Machine i = 1,2, operates for an exponentially distri d then fails. Its repair time is exponentially distributed with dependently of each other. Define a four-state continuous ti the condition of the two machines. Use the assumed indepen or this chain.

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1. Consider two machines. Machine i = = 1,2, operates for an exponentially distributed amount of
time with rate X; and then fails. Its repair time is exponentially distributed with rate fli, 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.
Transcribed Image Text:1. Consider two machines. Machine i = = 1,2, operates for an exponentially distributed amount of time with rate X; and then fails. Its repair time is exponentially distributed with rate fli, 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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