Actuarial Notes

SOA Exam P Sample Question 126

Study guide: Exam P-1

An insurance company's annual profit is normally distributed with mean 100 and variance 400.

Let Z be normally distributed with mean 0 and variance 1 and let F be the cumulative distribution function of Z.

Determine the probability that the company's profit in a year is at most 60, given that the profit in the year is positive.

  • A) 1 - F(2)
  • B) F(2)/F(5)
  • C) [1 - F(2)]/F(5)
  • D) [F(0.25) - F(0.1)]/F(0.25)
  • E) [F(5) - F(2)]/F(5)

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