Actuarial Notes

SOA Exam P Sample Question 374

Study guide: Exam P-1

A random variable X has density function

f(x) = \begin{cases}
\dfrac{5}{72}\left[3(x-2)^2 - (x-2)^4 + 4\right], & \text{for } 0 < x < 3 \\
0, & \text{otherwise.}
\end{cases}

Calculate the mode of the distribution.

  • A) 0.000
  • B) 0.775
  • C) 2.000
  • D) 3.000
  • E) The correct answer is not given by (A), (B), (C), or (D).

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