Precision Craft,Inc.,manufactures ornate pedestal sinks.On any day,the status of a given sink is either: (a)somewhere in the normal manufacturing process,(b)being reworked because of a detected flaw,(c)finished successfully,or (d)scrapped because a flaw could not be corrected.The transition matrix is as follows:
a.What is the probability of a sink eventually being finished if it is currently in process?
b.What is the probability of a sink eventually being scrapped if it is currently in rework?
c.What is the probability that a sink currently in rework will have a "finished" status either tomorrow or the next day? (Hint: There are three ways this can happen.)
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