Given the following fault tree:

Answer the following questions

1.Express the system failure in terms of the basic events using Boolean logic.

2.Find the minimum cut sets. From this analysis, what are the top four basic events that should be the focus of the reliability design effort?

3.If the probability of each basic event is 0.03, estimate the probability of the system failure.

4.If the probability of the system failure is required to be reduced 50 percent based on the result obtained in 3), consider using redundancy of basic events for achieving the design target. It is required to keep the total number of basic events minimum in all possible solutions. Then, modify the fault tree diagram accordingly to represent your design.

Given the following fault tree: System Failure DR ANI ? OR OR OR OR ANI ANID OR 2