Actuarial Notes

SOA Exam P Sample Question 353

Study guide: Exam P-1

A community college provides life insurance to its employees. The amount of insurance, X, of a randomly selected employee is modeled by a distribution with density function

f(x) = \begin{cases}
\dfrac{8}{x^3}, & \text{for } x > 2 \\
0, & \text{otherwise,}
\end{cases}

where X is measured in tens of thousands.

Calculate the probability that an employee is insured for no more than 30,000, given that the employee is insured for at least 25,000.

  • A) 0.20
  • B) 0.31
  • C) 0.44
  • D) 0.64
  • E) 0.69

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