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Consider a parallel system consisting of three components, where the failure rate of each component is $λ$. Answer the following questions. a. What is the MTTF of this system? Simplify your answer to a final expression. b. Assume the three parallel units are connected to a majority-voter. If the reliability of each component is $R$ and the reliability of the voter is three times the reliability of a component, what is the expression representing the reliability of this new system?

MTTF: Mean Time To Failure, i.e., the expected time until the first failure in a system.

Failure rate: The rate at which a component fails during operation.

Reliability: The probability that a system operates without failure over a given time period.