Please solve by hand

Question 5 (10 Points). A manufacturing firm has developed a transition matrix containing the probabilities that a particular machine will operate or break down in the following week, given its operating condition in the present week. A. Assuming that the machine is operating in week 1 , determine the probabilities that the machine will operate or break down in week 2 , week 3 , week 4 , week 5 , and week 6 . 5 Points B. Determine the steady-state probabilities for this transition matrix algebraically, and indicate the percentage of future weeks in which the machine will break down. 3 Points