The computer center at Rockbottom University has been experiencing computer downtime. Let us assume that the trials of an associated Markov process are defined as one-hour periods and that the probability of the system being in a running state or a down state is based on the state of the system in the previous period. Historical data show the following transition probabilities: To From Running Down Running 0.90 0.10 Down 030 0.70 At a current period, the system is in a down state. After 2 periods of time, what is the probability that the system will be in the state of running?