Actuarial Notes

Exam P Practice Question 934

Study guide: Exam P-1

A company has 100 insureds. Each insured, independently of the others, is high-risk with probability 0.60 and low-risk with probability 0.40. A high-risk insured files a claim in a year with probability 0.20; a low-risk insured, with probability 0.10. No insured files more than one claim in a year, and given the risk types, insureds file claims independently. Let N be the total number of claims filed in a year.

Calculate the standard deviation of N.

  • A) 3.41
  • B) 3.56
  • C) 3.67
  • D) 3.76
  • E) 3.87

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