Actuarial Notes

Exam P Practice Question 904

Study guide: Exam P-1

A discrete random variable X has the following distribution: P[X=1/6] = 1/3, \quad P[X=1/4] = 1/4, \quad P[X=1/3] = 5/12

An insurer pays a benefit equal to 2X - 1/2 if X \geq 1/4, and 0 otherwise.

Calculate the expected benefit paid by the insurer.

  • A) 0
  • B) 1/72
  • C) 5/72
  • D) 1/12
  • E) 5/6

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