Actuarial Notes

SOA Exam P Sample Question 21

Study guide: Exam P-1

A health study tracked a group of persons for five years. At the beginning of the study, 20% were classified as heavy smokers, 30% as light smokers, and 50% as nonsmokers.

Results of the study showed that light smokers were twice as likely as nonsmokers to die during the five-year study, but only half as likely as heavy smokers.

A randomly selected participant from the study died during the five-year period.

Calculate the probability that the participant was a heavy smoker.

  • A) 0.20
  • B) 0.25
  • C) 0.35
  • D) 0.42
  • E) 0.57

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