Actuarial Notes

SOA Exam P Sample Question 33

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(x), where f(x) is proportional to (10+x)^{-2} on the interval.

Calculate the probability that the lifetime of the machine part is less than 6.

  • A) 0.04
  • B) 0.15
  • C) 0.47
  • D) 0.53
  • E) 0.94

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