2. A university computing cluster has 180 terminals. Each terminal is either working or broken. Each day there is a probability of 1/5 that a given working terminal will break, and probability of 7/10 that a given broken terminal will be repaired. Terminals can never be repaired on the same day they break, and repaired terminals are never used until the following day. In the long run, how many terminals in the room will be working on average?
2. A university computing cluster has 180 terminals. Each terminal is either working or broken. Each day there is a probability of 1/5 that a given working terminal will break, and probability of 7/10 that a given broken terminal will be repaired. Terminals can never be repaired on the same day they break, and repaired terminals are never used until the following day. In the long run, how many terminals in the room will be working on average?
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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Transcribed Image Text:2. A university computing cluster has 180 terminals. Each terminal is either working or broken. Each day
there is a probability of 1/5 that a given working terminal will break, and probability of 7/10 that a given
broken terminal will be repaired. Terminals can never be repaired on the same day they break, and
repaired terminals are never used until the following day. In the long run, how many terminals in the room
will be working on average?
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