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Markov Chain Transition Matrix for a three state system. 1 - Machine 1: 2- Machine 2:...

Markov Chain

Transition Matrix for a three state system. 1 - Machine 1: 2- Machine 2: 3- Inspection

1 2 3
1 0.05 0 .95
2 0 0.05 .95
3 .485 .485 .03

A. For a part starting at Machine 1, determine the average number of visits this part has to each state. (mean time until absorption, I believe)

B. 1-1, 2-2, & 3-3 represent BAD units (stays at state).

If a batch of 1000 units is started on Machine 1, determine average number of completed good, units.

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