Actuarial Notes

SOA Exam P Sample Question 495

Study guide: Exam P-1

The heights, in feet, of basketball players in a city league are modeled by a random variable, X, with probability density function

f(x) = \begin{cases}
\dfrac{3(x-6)^2}{2}, & \text{for } 5 < x < 7 \\
0, & \text{otherwise.}
\end{cases}

Calculate \text{Var}(X).

  • A) 0.33
  • B) 0.60
  • C) 2.00
  • D) 4.00
  • E) 6.00

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