Actuarial Notes

SOA Exam P Sample Question 400

Study guide: Exam P-1

An insurance policy provides coverage for two types of claims. Let X and Y denote the numbers of monthly claims of Type I and Type II, respectively. The joint probability function of X and Y is given by

p(x,y) = \frac{8 - 2x - y}{54}, \qquad \text{for } x = 0, 1, 2 \text{ and } y = 0, 1, 2, 3.

Calculate the probability that there are in total at least two claims on this policy in the coming month.

  • A) 0.19
  • B) 0.28
  • C) 0.39
  • D) 0.52
  • E) 0.61

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