A continuous time Markov process with states 1, 2, 3, 4, and 5 has the transition rate matrix shown below. All rates are expressed in terms of minutes.
P = [ −6 4 0 0 2 0 −3 2 1 0 0 0 −3 2 1 0 0 0 0 0 0 0 0 0 0 ]

If the process begins in state 1, what is the mean time accumulated in state 2?