A product is made up of two subsystems in parallel. Subsystem one consists of ten elements in series each with a failure rate of 1/100. The second subsystem consists of 5 elements in series each with a failure rate of 1/200. What is the overall reliability of the system?
In order for the systems to work, all of the elements must work.
For system 1, each element has a 0.99 chance of working properly (1 - 0.01), and assuming that each element is independent of other ones, the probability that ...