2. A system consisting of one original unit plus a spare can function for a random amount...
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2. A system consisting of one original unit plus a spare can function for a random amount of time X. If the density of X is given (in units of months)
by
$$f(x) = \begin{cases}
Cxe^{-x/2} & x>0\\
0 & x\le0
\end{cases}$$
what is the probability that the system functions for at least 5 months?
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