CAS Exam MAS-I Spring 2018, Question 6

Study guide: Exam MAS-I

You are given the following information about a system of only two components:

• A and B are two independent components in a parallel system.
• T_A and T_B are the time-to-failure random variables of A and B, respectively.
• T_A has the same distribution as the first waiting time of a Poisson process with rate \lambda = 1.
• T_B has a constant hazard rate \lambda_B = 2.
• A and B start operation at the same time.

Calculate the expected time until the system fails.

• A) Less than 1.00
• B) At least 1.00, but less than 1.25
• C) At least 1.25, but less than 1.50
• D) At least 1.50, but less than 1.75
• E) At least 1.75

Answer this question and see the worked solution

Concepts tested

• Exponential Distribution
• Hazard Rate
• Poisson Process
• System Reliability

More questions from this set

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