Actuarial Notes

SOA Exam P Sample Question 326

Study guide: Exam P-1

The monthly commission that an agent earns is modeled by a random variable X with density function f(x) = \frac{1}{20}e^{-x/20}, \quad x > 0

Calculate the probability that the commission the agent earns in a month is within 0.5 standard deviations of E(X).

  • A) 0.34
  • B) 0.38
  • C) 0.50
  • D) 0.68
  • E) 0.95

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