Actuarial Notes

Exam P Practice Question 924

Study guide: Exam P-1

A study of life insurance policyholders found that 1/6 of policyholders exercise regularly, with lifetime \sim \text{Exp}(\text{mean } 3/2). The remaining 5/6 do not exercise regularly, with lifetime \sim \text{Exp}(\text{mean } 1/4). All lifetimes are independent.

Calculate the probability that a randomly selected policyholder exercises regularly, given that the policyholder is alive one year after the policy was purchased.

  • A) 0.06
  • B) 0.17
  • C) 0.39
  • D) 0.47
  • E) 0.85

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