CAS Exam MAS-I Fall 2019, Question 7

Study guide: Exam MAS-I

You are given the following information regarding a series system with two independent machines, X and Y:

• The hazard rate function, in years, for machine i is denoted by r_i(t)
• r_x(t) = \ln(1.06), for x > 0
• r_y(t) = \frac{1}{20-t}, for 0 < y < 20
• Both machines are currently three years old

Calculate the probability that the system fails when the machines are between five and nine years old.

• A) Less than 0.305
• B) At least 0.305, but less than 0.315
• C) At least 0.315, but less than 0.325
• D) At least 0.325, but less than 0.335
• E) At least 0.335

Answer this question and see the worked solution

Concepts tested

• Hazard Rate
• Survival Model
• Exponential Distribution
• Independent Events
• System Reliability

More questions from this set

• CAS Exam MAS-I Fall 2019, Question 6
• CAS Exam MAS-I Fall 2019, Question 8