Actuarial Notes

SOA Exam P Sample Question 542

Study guide: Exam P-1

Each of the 76 employees of a company is either a low-risk or a high-risk employee. This year, each low-risk employee's number of accidents has standard deviation 0.50 and each high-risk employee's number of accidents has standard deviation 5.50. The standard deviation of the total number of accidents for all the employees is 43.00. The frequencies of accidents among the employees are independent.

Calculate the number of low-risk employees.

  • A) 1
  • B) 15
  • C) 38
  • D) 61
  • E) 75

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