Actuarial Notes

SOA Exam P Sample Question 627

Study guide: Exam P-1

A policyholder owns a car and a truck. An auto insurer provides coverage on both vehicles.

Let X be the number of claims incurred over a five-year period on the car. Let Y be the number of claims incurred over a five-year period on the truck.

The probability function of X and Y is shown in the table below:

X \ Y 0 1 2 3
0 0.06 0.10 0.12 0.02
1 0.08 0.11 0.15 0.06
2 0.05 0.07 0.05 0.03
3 0.01 0.02 0.03 0.04

Calculate E(Y \mid X < 2).

  • A) 1.30
  • B) 1.37
  • C) 1.41
  • D) 1.45
  • E) 1.53

Answer this question and see the worked solution

Concepts tested

More questions from this set