Consider a machine that can be in one of three states: good condition, fair condition, or broken
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Consider a machine that can be in one of three states: good condition, fair condition, or broken down. Suppose that a machine in good condition will remain this way for a mean time μ1 and then will go to either the fair condition or the broken condition with respective probabilities 34 and 14
. A machine in fair condition will remain that way for a mean time μ2 and then will break down. A broken machine will be repaired, which takes a mean time μ3, and when repaired will be in good condition with probability 23 and fair condition with probability 13
. What proportion of time is the machine in each state?
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