Actuarial Notes

SOA Exam P Sample Question 491

Study guide: Exam P-1

Let X be a random variable with cumulative distribution function

F(x) = \begin{cases}
0, & x < 0 \\[2pt]
\dfrac{1}{2}x^3, & 0 \leq x < 1 \\[2pt]
2x - \dfrac{x^2}{2} - 1, & 1 \leq x \leq 2 \\[2pt]
1, & x > 2.
\end{cases}

Calculate E(X).

  • A) 3/8
  • B) 25/48
  • C) 2/3
  • D) 1
  • E) 25/24

Answer this question and see the worked solution

Concepts tested

More questions from this set