Actuarial Notes

SOA Exam P Sample Question 297

Study guide: Exam P-1

The lifetime of a machine part has a continuous distribution on the interval (0, 40) with probability density function f, where f(x) is proportional to (10+x)^{-2}.

Calculate the probability that the lifetime of the machine part is less than five.

  • A) 0.03
  • B) 0.13
  • C) 0.42
  • D) 0.58
  • E) 0.97

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