1. Find the reliability function for the electric circuit shown below. You can assume that all the components are identical with constant failure rate . (See attached file)

2. Find the probability of failure for the system of Problem 1 using the fault-tree approach with the rare event approximation and p = 0.99. Also find the importance of failures through . Construct the fault-tree in terms of the Top Event "NO SIGNAL AT EXIT" and the intermediate events "COMPONENT # RECEIVES NO SIGNAL" (NCR#), "COMPONENT # OUTPUTS NO SIGNAL" (NCO#) and the basic events "COMPONENT # FAILS" (F#). Assume that there is always signal at input.

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