SOA Exam P Sample Question 129
Study guide: Exam P-1
The proportion X of yearly dental claims that exceed 200 is a random variable with probability density function
f(x) = \begin{cases} 60x^3(1-x)^2, & 0 < x < 1 \\ 0, & \text{otherwise.} \end{cases}
Calculate Var\left(\frac{X}{1-X}\right).
- A) 149/900
- B) 10/7
- C) 6
- D) 8
- E) 10
Answer this question and see the worked solution