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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