Actuarial Notes

Exam MAS-I Practice Question 159

Study guide: Exam MAS-I

Claims are classified as standard or litigated from their log-severity x. In the training data:

Class Share of claims Log-severity
Standard 0.80 N(7.0,\ 0.6^2)
Litigated 0.20 N(8.0,\ 1.2^2)

Using quadratic discriminant analysis with these as the estimates, calculate the probability that a claim with log-severity x = 8.2 is litigated.

  • A) Less than 0.40
  • B) At least 0.40, but less than 0.55
  • C) At least 0.55, but less than 0.70
  • D) At least 0.70, but less than 0.80
  • E) At least 0.80

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