Assignment:
A fault-tolerant nuclear reactor protection system consists of 3 processors and 6 memories. The system will fail if (a) any 2 of the 3 processors fail, or (b) any 2 of the 6 memories fail. The nominal failure rates of these processors and memories, provided by the manufacturers, are 1 per 10,000 hours and 1 per 2,000 hours respectively.
(a) Calculate the probability that the system will fail in 3,000 hours.
(b) Supposing no failure of any component occurs in 5,000 hours of operation. What would be your revised estimate of failure rates of the components in your system?
Provide complete and step by step solution for the question and show calculations and use formulas.