Answer Happy

QUESTION 20 A machine can be either in a busy mode (state 1) processing a task, or in an idle mode (state 0), when there are no tasks to process. Being in a busy mode, it can finish a task and enter an idle mode within the next one hour with probability 0.4. Thus, with probability 0.6 it stays another hour in a busy mode. Being in an idle mode, it receives a new task within the next one hour with probability 0.3 and enters a busy mode. Thus, it stays another hour in an idle mode with probability 0.7. If the machine is idle now, what is the probabiliy that it is also idle 2 hours from now? O 1.0.48 O 2.0.61 3.0.52 O 4.0.39 QUESTION 21 In question 20, what is the long-run fraction of time the machine is busy? O 1.0.3900 O 11.0.4286 O III. 0.6100 O IV.0.5714