Q1) Mr. H. Highpower is in the process of considering his chances for promotion. His ultimate objective is to become president; however, there is the possibility that too aggressive behaviour on his part will result in his termination. There are four positions that H. H. can hold in the company:
Janitor
Department Head (DH)
Vice president (VP)
President
The probabilities of moving from one position to any other position are as follows:
|
F
|
J
|
DH
|
VP
|
P
|
|
F
|
1.0
|
0.0
|
0.0
|
0.0
|
0.0
|
|
J
|
0.0
|
0.3
|
0.4
|
0.1
|
0.2
|
|
DH
|
0.1
|
0.2
|
0.3
|
0.3
|
0.1
|
|
VP
|
0.2
|
0.3
|
0.0
|
0.3
|
0.2
|
|
P
|
0.0
|
0.0
|
0.0
|
0.0
|
1.0
|
The table shows that if he gets fired, Mr. H.H. cannot hold any other job in the company. The table also shows that the job of president is permanent and will be held until retirement.
- Assuming H.H. is currently a department head, what is the probability he will become president in the long run?
- Assuming H.H. is currently a department head, what is the probability he will terminated in the long run?
- Assuming H.H. is currently Janitor, what is the probability he will be terminated in the long run?
- Assuming H.H. is currently Janitor, what is the probability he will become president in the long run?