SOA Exam P Sample Question 545
Study guide: Exam P-1
The total amount of all hurricane claims filed with a company in a one-year time period is modeled by a random variable, X, with density function
f(x) = \begin{cases}
\dfrac{1}{1{,}000{,}000}e^{-x/1{,}000{,}000}, & \text{for } x > 0 \\
0, & \text{otherwise.}
\end{cases}Calculate, to the nearest 100,000, the difference between the 15th and 95th percentiles of the total amount of hurricane claims.
- A)
1{,}800{,}000 - B)
1{,}900{,}000 - C)
2{,}700{,}000 - D)
2{,}800{,}000 - E)
3{,}000{,}000
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