Actuarial Notes

Exam MAS-I Practice Question 158

Study guide: Exam MAS-I

In an insurer's training data, 5% of claims are fraudulent. Within each class, the rates of three claim flags are:

Flag Fraud Legitimate
Reported more than 30 days after the loss 0.40 0.12
Claimant made another claim in the past year 0.35 0.15
Police report filed 0.30 0.70

A new claim was reported 45 days after the loss, the claimant made no other claim in the past year, and no police report was filed.

Using a naive Bayes classifier with all three flags, calculate the probability that the claim is fraudulent.

  • A) Less than 0.10
  • B) At least 0.10, but less than 0.20
  • C) At least 0.20, but less than 0.30
  • D) At least 0.30, but less than 0.50
  • E) At least 0.50

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