Question

Suppose that a process is comprised of multiple components, each having a 75% success rate. What is the change in reliability going from a series layout to a parallel layout if the process has 5 components?

1 . 0%
2 . 100%
3 . 76.2%
4 .76.2%​
5. unable to determine

Answer 1

The change in reliability going from a series layout to a parallel layout is significant, with the reliability increasing from 23.73% to practically 100%.

Step-by-step explanation:

When components are connected in series, the overall reliability of the system is given by the product of the reliabilities of each component. So, for 5 components with a 75% success rate each, the reliability would be (0.75)^5 = 0.2373, or 23.73%.

When components are connected in parallel, the overall reliability of the system is given by 1 minus the product of the failure probabilities of each component. So, for 5 components with a 75% success rate each, the reliability would be 1 - (0.25)^5 = 99.9%, or practically 100%.

Thus, the change in reliability going from a series layout to a parallel layout is significant, with the reliability increasing from 23.73% to practically 100%.