(Solved):
A system consists of four components connected as shown in the following diagram: Assume \( A, B, ...
A system consists of four components connected as shown in the following diagram: Assume \( A, B, C \), and \( D \) function independently. If the probabilities that \( A, B, C \), and \( D \) fail are \( 0.14,0.05,0.14 \), and \( 0.22 \), respectively, what is the probability that the system functions? Round the answer to four decimal places.