Actuarial Notes

SOA Exam P Sample Question 532

Study guide: Exam P-1

In a certain region, 5% of all banks will fail in the next five years. The FDIC insures 80% of the banks in the region. Only 3% of the banks in the region insured by the FDIC will fail in the next five years.

Calculate the probability that a bank in the region that fails in the next five years is insured by the FDIC.

  • A) 0.02
  • B) 0.04
  • C) 0.06
  • D) 0.48
  • E) 0.60

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