At a manufacturing plant, employees are classified as trainee (R), technician (T), or supervisor (S). Writing Q

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At a manufacturing plant, employees are classified as trainee (R), technician (T), or supervisor (S). Writing Q for an employee who quits we model their progress through the ranks as a Markov chain with transition probability

R 0.2 0 0.55 0 0 T T 0.6 R T S 0 Q 0 S 0 0.15 1 0 Q 0.2 0.3 0 1


(a) What fraction of recruits eventually make supervisor?

(b) What is the expected time until a trainee quits or becomes supervisor?

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