A PWR plant has two residual heat removal (RHR) pumps, with pump 1 operating and pump 2 in standby whenever the RHR system is activated. Both pumps have a MTTF of 1/2 and the service crew can repair a pump during a mean time interval of 1/μ. The failure probability of the pumps in standby is negligibly small. (a) Define three states of the RHR pump system and set up a Markov chain model for the probabilities P (t), n = 1,2,3.

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