Actuarial Notes

SOA Exam P Sample Question 431

Study guide: Exam P-1

Each year, a car insurance company's four quarterly profits are mutually independent and normally distributed with common mean and variance. Each quarter, the probability that the company earns a positive profit is 0.80.

Calculate the probability that the company earns an overall positive profit in a given year.

  • A) 0.410
  • B) 0.663
  • C) 0.800
  • D) 0.954
  • E) 0.998

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