(Solved): A circuit system is shown in the figure below. The reliability (probability of working) of each co ...

A circuit system is shown in the figure below. The reliability (probability of working) of each component is specified as follows and the components work or fail independently. $$\begin{array}{l}P(A)=P(B)=0.73\\ P(C)=P(D)=P(E)=0.95\end{array}$$ Part 1 What is the value of $$P((A?B)?(C?D?E){)}^{?}$$ (Enter your answer with 3 decimal digits.) Part 2 What is the probability that the component $$A$$ is not working given that the system works? (Enter your answer with 3 decimal digits.) Hint: Think conditional probability definition.