Is there a unique way of filling in the missing probabilitie

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. Is there a unique way of filling in the missing probabilities in the transition diagram? Yes No Enter the missing probabilities for the transition diagram. The probability of transition from A to A is ___. The probability of transition from B to C is ___. The probability of transition from C to B is ___. Write the corresponding transition matrix. P = A B C [__ __ __ __ __ __ __ __ __]

Solution

the transition matrix :

X 0.2 0.4

0.2 0.3 X

0 X 0.1

now as we know summation of each row is equal to 1 , since sum of probabilities is equal to 1

hence we can calculate each X

for A to A = 0.4

for B to C = 0.5

for C to B = 0.9

now the transition matrix is also complete