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IAI Actuarial Core Principles · Risk Modelling and Survival Analysis · Elementary principles of machine learning

A binary classifier for insurance claim fraud is tested on 200 claims. It flags 40 as fraud, of which 30 are truly fraud. In total 50 of the 200 claims are truly fraud. What is the recall (sensitivity) for the fraud class?

Recall is 0.60. It is the proportion of actual fraud cases correctly identified: 30 true positives divided by 50 actual fraud claims. The value 0.75 is precision, which divides by the 40 flagged claims instead.

  1. A0.75
  2. B0.60Correct
  3. C0.20
  4. D0.85
  5. 0.15

Explanation

Recall = true positives / actual positives = 30/50 = 0.60. Precision would be 30/40 = 0.75, which is the first option and uses flagged claims as the base, the wrong denominator for recall.

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