At a nationwide travel agency, newly hired employees are classified as beginners (B). Every 6 months the

Question:

At a nationwide travel agency, newly hired employees are classified as beginners (B). Every 6 months the performance of each agent is reviewed. Past records indicate that transitions through the ranks to intermediate (I) and qualified (Q) are according to the following Markov chain, where F indicates workers that were fired:

B I Q F B 0.45 I 0.4 0 0.6 0 0 QF 0 0.3 0 1 0 0 0.15 0.1 0 1