Actuarial Notes

SOA Exam P Sample Question 605

Study guide: Exam P-1

ElectroUSA is a store that sells portable music players. Ten percent of sales are Brand A and the rest are Brand B. The time, in years, until failure for Brand A is modeled by an exponential distribution with mean 2, while that for Brand B is modeled by an exponential distribution with mean 4.

A portable music player sold by ElectroUSA fails for the first time within three years of the purchase date.

Calculate the probability that it is Brand A.

  • A) 0.08
  • B) 0.14
  • C) 0.47
  • D) 0.60
  • E) 0.78

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