SOA Exam P Sample Question 381
Study guide: Exam P-1
The lifetime (in years) of a car is a random variable with probability density function
f(x) = \begin{cases}
0.0625e^{-0.0625x}, & \text{for } x > 0 \\
0, & \text{otherwise.}
\end{cases}
Calculate the probability that the car's lifetime is less than 20 years, given that the car's lifetime is at least five years.
- A)
0.445 - B)
0.522 - C)
0.608 - D)
0.832 - E)
0.975
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