A component in a repairable system has a mean to failure of 1500 hours (follows an exponential distribution). Five spare components are available.

1. What distribution should be used for the time to repair system? Define all parameters and their values. 2. What is the probability that the system does not need component replacement after 2000 hours of operation? (What is the reliability at t =2000 hrs?) 3. Calculate the mean time to component replacement.