This preview shows page 1. Sign up to view the full content.
Unformatted text preview: ar 70% of programmers remain
in that position 20% are promoted to project manager and 10% are ﬁred (state
X). 95% of project managers remain in that position while 5% are ﬁred. How
long on the average does a programmer work before they are ﬁred?
1.63. 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:
B .45 .4 0 .15
0 .6 .3 .1
(a) What fraction are eventually promoted? (b) What is the expected time
until a beginner is ﬁred or becomes qualiﬁed? 74 CHAPTER 1. MARKOV CHAINS 1.64. 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
1 (a) What fraction of recruits eventually make supervisor...
View Full Document
This document was uploaded on 03/06/2014 for the course MATH 4740 at Cornell University (Engineering School).
- Spring '10
- The Land