There are five components

Math Oct 08, 2020

There are five components. The components act independently, with component i pi i working with probability , = 1, 2, 3, 4, 5. These components form a system as shown in Figure 3.7.The system is said to work if a signal originating at the left end of the diagram can reach the right end, where it can pass through a component only if that component is working. (For instance, if components 1 and 4 both work, then the system also works.) What is the probability that the system works?