SOA Exam P Sample Question 111
Study guide: Exam P-1
Let X be a continuous random variable with density function
f(x) = \begin{cases} \frac{p-1}{x^p}, & x > 1 \\ 0, & \text{otherwise.} \end{cases}
Calculate the value of p such that E[X] = 2.
- A) 1
- B) 2.5
- C) 3
- D) 5
- E) There is no such p.
Answer this question and see the worked solution