SOA Exam P Sample Question 420
Study guide: Exam P-1
A scientist estimates the time (in tens of millions of years) before a major asteroid will hit the earth using a random variable X with probability density function
f(x) = \begin{cases}
xe^{-x}, & \text{for } x > 0 \\
0, & \text{otherwise.}
\end{cases}Calculate the probability that the next time the earth is hit by a major asteroid occurs between 10 million and 20 million years from now.
- A)
0.0005 - B)
0.0867 - C)
0.3298 - D)
0.6702 - E)
0.9995
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