Actuarial Notes

SOA Exam P Sample Question 575

Study guide: Exam P-1

An insurer's quarterly profits are independent and normally distributed with mean 8 and standard deviation 24. A quarterly loss counts as a negative profit.

Let Z represent the standard normal random variable.

Determine the probability that the insurer makes an overall positive profit in a given four-quarter period.

  • A) P[Z > -3.00]
  • B) P[Z > -1.50]
  • C) P[Z > -0.67]
  • D) P[Z > -0.33]
  • E) P[Z > -0.17]

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