14) An electrical system consists of four components as illustrated in the Figure.
0.65
0.7
0.9
D
0.93
The system works if components A and B work and either of the components C or D works.
The reliability (probability of working) of each component is also shown in the Figure below.
Find the probability that
a) the entire system works
b) the component C does not work, given that the entire system works. Assume that the four components work independently.