Actuarial Notes

SOA Exam P Sample Question 194

Study guide: Exam P-1

A health insurance policy covers visits to a doctor's office. Each visit costs 100. The annual deductible on the policy is 350. For a policy, the number of visits per year has the following probability distribution:

Number of Visits 0 1 2 3 4 5 6
Probability 0.60 0.15 0.10 0.08 0.04 0.02 0.01

A policy is selected at random from those where costs exceed the deductible.

Calculate the probability that this policyholder had exactly five office visits.

  • A) 0.050
  • B) 0.133
  • C) 0.286
  • D) 0.333
  • E) 0.429

Answer this question and see the worked solution

Concepts tested

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