\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
A machine in a factory can be in one of three states: Working (W), Idle (I), or Broken (B).
The transition probabilities per hour are:
  • If Working: 80\(\pourcent\) chance to stay Working, 10\(\pourcent\) to become Idle, 10\(\pourcent\) to become Broken.
  • If Idle: 50\(\pourcent\) chance to become Working, 40\(\pourcent\) to stay Idle, 10\(\pourcent\) to Break.
  • If Broken: 0\(\pourcent\) chance to become Idle, 60\(\pourcent\) chance to be Repaired (Working), 40\(\pourcent\) to stay Broken.
Draw the transition diagram for this system.
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