The Probability That an Assembly Line Operation Works Correctly Depends

Multiple Choice

The probability that an assembly line operation works correctly depends on whether it worked correctly the last time it was used. There is a 0.91 chance that the line will work correctly if it worked correctly the time before and a 0.68 chance that it will work correctly if it did not work correctly the time before. After setting up a transition matrix with this information, find the long-run probability that the line will work correctly.

A) [0.117 0.883]
B) [0.883 0.883]
C) [0.802 0.198]
D) [0.883 0.117]