At a nationwide travel agency, newly hired employees are classified as beginners (b). every six 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 biq f b 45.4 0.15 q 0 0 1 0 f 0 0 0 1 (a) what fraction eventually become qualified? (b) what is the expected time until a beginner is fired or becomes qualified?