Actuarial Notes

SOA Exam P Sample Question 617

Study guide: Exam P-1

A policyholder owns two properties and has hurricane insurance on both properties. One property is located in Texas. The other property is located in Florida.

Let T be the number of hurricane claims in a 5-year period for the Texas property, and let F be the number of hurricane claims in a 5-year period for the Florida property. The joint probability function for T and F is given in the following table.

Texas \ Florida 0 1 2 3
0 0.40 0.14 0.04 0.02
1 0.16 0.08 0.04 0.02
2 0.04 0.03 0.02 0.01

Calculate \text{Var}(T \mid F = 1).

  • A) 0.18
  • B) 0.24
  • C) 0.45
  • D) 0.49
  • E) 0.80

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