Customer accounts receivable at Smith Company are classified each month according to Consider a particular customer account and suppose that it evolves month to month as a Markov chain {X n } whose...

Customer accounts receivable at Smith Company are classified each month according to

Consider a particular customer account and suppose that it evolves month to month as a Markov chain {X_n
} whose transition probability matrix is

Suppose that a certain customer's account is now in state 1: 30 to 60 days past due. What is the probability that this account will be paid (and thereby enter state 0: Current) before it becomes over 90 days past due? That is, let