64. Employee training. All welders in a factory begin as apprentices. Every year the performance of each appren- tice is reviewed. Past records indicate that after each review, 10% of the apprentices are promoted to profes- sional welder, 20% are terminated for unsatisfactory per- formance, and the remainder continue as apprentices. (A) Draw a transition diagram. (B) Write the transition matrix. (C) What is the probability that an apprentice is promoted to professional welder within 2 years? Within 4 years?

64. Employee training. All welders in a factory begin as apprentices. Every year the performance of each appren- tice is reviewed. Past records indicate that after each review, 10% of the apprentices are promoted to profes- sional welder, 20% are terminated for unsatisfactory per- formance, and the remainder continue as apprentices. (A) Draw a transition diagram. (B) Write the transition matrix. (C) What is the probability that an apprentice is promoted to professional welder within 2 years? Within 4 years?

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter2: Matrices

Section2.5: Markov Chain

Problem 47E: Explain how you can determine the steady state matrix X of an absorbing Markov chain by inspection.

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