Actuarial Notes

SOA Exam P Sample Question 298

Study guide: Exam P-1

The claim, X, for a dental insurance policy is a random variable with the following probability function:

x P[X = x]
0 0.5
1 0.2
2 0.3

The premium for the policy is equal to 125% of the expected claim amount.

Calculate the approximate probability that the total claims on 76 independent policies exceed the total premium collected.

  • A) 0.02
  • B) 0.07
  • C) 0.17
  • D) 0.25
  • E) 0.40

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