Use the following information to answer the next 2 questions. A system has two c
ID: 3208406 • Letter: U
Question
Use the following information to answer the next 2 questions.
A system has two components that operate in parallel. Because the components operate in parallel, at least one of the components must function properly if the system is to function properly. The probabilities of failures for component_1 and component_2 during operation are .10 and .04, respectively. Let F1 denote the event that component_1 fails during operation and F2 denote the event that component_2 fails during operation. The component failures are independent.
The event corresponding to this system failing during operation is:
not F1 and not F2
not F1 or not F2
F1 or F2
F1 and F2
What is the probability that the system fails during operation?
0.864
*I put the answers I think are correct in bold
Explanation / Answer
System fails during the operation if both F1 and F2 does not work i.e.
F1 and F2
Probability of system failing = 0.1(0.04)
= 0.004