In a matrix of transition probabilities,
A)the probabilities for any column will sum to 1.
B)the probabilities for any row will sum to 1.
C)the probabilities for any column are mutually exclusive and collectively exhaustive.
D)All of the above
E)None of the above

Question

Quizplus · Accepted Answer

In a matrix of transition probabilities, each row represents the probabilities of transitioning from one state to all possible states. The probabilities for any row must sum to 1 because the system must move from one state to another. However, the probabilities for any column do not need to sum to 1 because each column represents the probabilities of transitioning to a specific state. Additionally, the probabilities for any column are not mutually exclusive and collectively exhaustive because the system can transition to multiple states from a single state.

In a Matrix of Transition Probabilities