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: 
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.)
Definitions:
Interval
A range of values or a segment of a number line, often specified by its endpoints.
Manufacturing Process
A manufacturing process is the series of steps through which raw materials are transformed into a final product, involving various techniques and machinery.
Time Study
A work measurement technique for recording the times of performing a certain specific task to establish the standard time for an activity.
Inequality
A mathematical statement that indicates a non-equal relationship between two expressions.
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