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]

Question

Quizplus · Accepted Answer

The long-run probability vector can be found by solving the system of equations derived from the transition matrix. The correct long-run probabilities are [0.883 0.117], indicating an 88.3% chance the line will work correctly.

The Probability That an Assembly Line Operation Works Correctly Depends