Actuarial Notes

CAS Exam MAS-I Spring 2019, Question 7

Study guide: Exam MAS-I

You are given the following information:

  • In a toolbox there are two types of components that all perform the same function:
    • There are 4 components of type A, each with reliability of 0.600
    • There are 20 components of type B, each with reliability of 0.300
    • All components are independent
  • Using only the components in this toolbox, you want to construct a parallel system with a reliability of at least 0.995

Calculate the minimum number of components needed to create this system.

  • A) Fewer than 3
  • B) At least 3, but fewer than 5
  • C) At least 5, but fewer than 7
  • D) At least 7, but fewer than 9
  • E) At least 9

Answer this question and see the worked solution

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