Actuarial Notes

CAS Exam MAS-I Spring 2019, Question 13

Study guide: Exam MAS-I

You use the inversion method to simulate two random numbers X from a Weibull (\theta, \tau) distribution using two independent draws U from a uniform distribution on (0,1). The results of this simulation are shown below:

i X_i U_i
1 416.28 0.5
2 357.36 0.4

Calculate the value of \theta used to perform this simulation.

  • A) Less than 425
  • B) At least 425, but less than 475
  • C) At least 475, but less than 525
  • D) At least 525, but less than 575
  • E) At least 575

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