Actuarial Notes

SOA Exam P Sample Question 243

Study guide: Exam P-1

A couple takes out a medical insurance policy that reimburses them for days of work missed due to illness. Let X and Y denote the number of days missed during a given month by the wife and husband, respectively. The policy pays a monthly benefit of 50 times the maximum of X and Y, subject to a benefit limit of 100. X and Y are independent, each with a discrete uniform distribution on the set \{0,1,2,3,4\}.

Calculate the expected monthly benefit for missed days of work that is paid to the couple.

  • A) 70
  • B) 90
  • C) 92
  • D) 95
  • E) 140

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