SOA Exam P Sample Question 341
Study guide: Exam P-1
The time to death of a 70-year-old person is modeled by a random variable X with probability density function
f(x) = \begin{cases} \dfrac{k}{(x+5)^2}, & \text{for } 0 < x < 30 \\ 0, & \text{otherwise,} \end{cases}where k is a constant.
Calculate the probability the man will live five years and then die during the following five years.
- A) 0.004
- B) 0.194
- C) 0.333
- D) 0.583
- E) 0.778
Answer this question and see the worked solution