Actuarial Notes

CAS Exam MAS-I Fall 2018, Question 14

Study guide: Exam MAS-I

An actuary is using the inversion method to simulate a random number from a distribution with the following density function:

f(x) = 5x^4, \quad 0 < x < 1

A random draw of 0.6 was chosen from the uniform distribution (0, 1).

Calculate the simulated random number.

  • A) Less than 0.2
  • B) At least 0.2, but less than 0.4
  • C) At least 0.4, but less than 0.6
  • D) At least 0.6, but less than 0.8
  • E) At least 0.8

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