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