Actuarial Notes

SOA Exam P Sample Question 391

Study guide: Exam P-1

The annual profits of each of two car insurance companies, A and B, are normally distributed with the same standard deviation.

The mean annual profit of company A is 30.

A profit of 214 is both the 96th percentile of company A's annual profit and the 90th percentile of company B's annual profit.

Calculate the mean annual profit of company B.

  • A) 33
  • B) 42
  • C) 54
  • D) 79
  • E) 105

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