Actuarial Notes

SOA Exam P Sample Question 239

Study guide: Exam P-1

The number of minor surgeries, X, and the number of major surgeries, Y, for a policyholder, this decade, has joint cumulative distribution function

F(x,y)=\left[1-(0.5)^{x+1}\right]\left[1-(0.2)^{y+1}\right],

for nonnegative integers x and y.

Calculate the probability that the policyholder experiences exactly three minor surgeries and exactly three major surgeries this decade.

  • A) 0.00004
  • B) 0.00040
  • C) 0.03244
  • D) 0.06800
  • E) 0.12440

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