SOA Exam P Sample Question 392
Study guide: Exam P-1
The amount of time, in years, that a refrigerator functions before breaking down is a continuous random variable with density function
f(x) = \begin{cases}
c(x-5), & \text{for } 5 \leq x \leq 8 \\
c(11-x), & \text{for } 8 < x \leq 11 \\
0, & \text{otherwise,}
\end{cases}where c is a constant.
Calculate the probability that the refrigerator will function between six and eight years before breaking down.
- A)
0.222 - B)
0.278 - C)
0.333 - D)
0.379 - E)
0.444
Answer this question and see the worked solution