Actuarial Notes

SOA Exam P Sample Question 510

Study guide: Exam P-1

A company insures two buildings for one year. Its insurer will pay the value of a loss, rounded down to the nearest million. Let X and Y represent the insurer's payments in millions on each of the buildings. The joint probability function is:

Y \ X 0 1 2
0 0.38 0.10 0.02
1 0.16 0.11 0.03
2 0.06 0.09 0.05

Calculate the expected value of the maximum of X and Y.

  • A) 0.33
  • B) 0.70
  • C) 0.87
  • D) 1.20
  • E) 2.00

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