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.)


a. 0.868
b. 0.281
c. 0.3 + 0.03 + 0.2 = 0.53

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