CAS Exam MAS-I Fall 2018, Question 6

Study guide: Exam MAS-I

You are given:

• A system has 9 independent components, i = 1, 2, 3, \ldots, 9
• p_i = 0.75, is the probability that the i^{\text{th}} component is functioning
• The system's structure is as pictured in the figure below:

• A new component with probability of functioning = 0.95 is available to replace one of the current components.
• The goal is to maximize the improvement of system's reliability.

Determine which one of the following components should be replaced to achieve the goal.

• A) Component 1
• B) Component 2
• C) Component 5
• D) Component 7
• E) Component 8

Answer this question and see the worked solution

Concepts tested

• System Reliability
• Stochastic Processes

More questions from this set

• CAS Exam MAS-I Fall 2018, Question 5
• CAS Exam MAS-I Fall 2018, Question 7