Actuarial Notes

SOA Exam FAM Sample Question 54

Study guide: Exam FAM

You are given:

(i) At time 4 hours, there are 5 working light bulbs.

(ii) The 5 bulbs are observed for p more hours.

(iii) Three light bulbs burn out at times 5, 9, and 13 hours, while the remaining light bulbs are still working at time 4 + p hours.

(iv) The distribution of failure times is uniform on (0, \omega).

(v) The maximum likelihood estimate of \omega is 29.

Calculate p.

  • A) Less than 10
  • B) At least 10, but less than 12
  • C) At least 12, but less than 14
  • D) At least 14, but less than 16
  • E) At least 16

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