Question

In Problem is there a unique way of filling in the missing probabilities in the transition diagram? If so, complete the transition diagram and write the corresponding transition matrix. If not, explain why.

 

 

Answer 1

Part A

The probability of transition from A to A

= 1- probability of transition from A to B - probability of transition from A to C

= 1 - 0.3 - 0.5 

= 0.2

 

Part B

The probability of transition from B to C

= 1 - 0.2 - 0.3 

= 0.5

 

Part C

The probability of transition from C to B

= 1 - 0.2 - 0.6

= 0.2

 

Transition matrix

	A	B	C
A	0.2	0.3	0.5
B	0.2	0.3	0.5
C	0.6	0.2	0.2

A. The probability of transition from A to A is 0.2.

B. The probability of transition from B to C is 0.5.

C. The probability of transition from C to B is 0.2.