SOA Exam P Sample Question 57
Study guide: Exam P-1
The warranty on a machine specifies that it will be replaced at failure or age 4, whichever occurs first. The machine's age at failure, X, has density function
f(x) = \begin{cases} 1/5, & 0 < x < 5 \\ 0, & \text{otherwise.} \end{cases}
Let Y be the age of the machine at the time of replacement.
Calculate the variance of Y.
- A) 1.3
- B) 1.4
- C) 1.7
- D) 2.1
- E) 7.5
Answer this question and see the worked solution