Question:
A system consist of 5 components in 2 branches.
The system work if component A and B works or if component C, D and E work. Assume that the components fail independenly with this probabilities:
P (A fails)= P (B fails)= 0.3 And.
P (C fails)=P (D fails)=P (E fails)= 0.2
a) what is the probability the system works? b) given the system works, what is the probability component A does not work? c) given the system does not work, what is the probability component A also does not work?