Actuarial Notes

CAS Exam MAS-I Fall 2018, Question 9

Study guide: Exam MAS-I

You are given the following information about a homogenous Markov chain:

  • There are three states to answering a trivia question: Skip (State 0), Correct (State 1), and Wrong (State 2)
  • P = \begin{bmatrix} 0 & 0.85 & 0.15 \\ 0.20 & 0.80 & 0 \\ 0 & 0.70 & 0.30 \end{bmatrix}
  • The candidate skipped the previous question

Calculate the probability of the candidate correctly answering at least one of the two subsequent questions.

  • A) Less than 0.92
  • B) At least 0.92, but less than 0.94
  • C) At least 0.94, but less than 0.96
  • D) At least 0.96, but less than 0.98
  • E) At least 0.98

Answer this question and see the worked solution

Concepts tested

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