Pdf of the lifetime y of the system

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The lifetime X of a certain electrical fuse has the following probability density function r 1 -x/10 f (x) = 10 e, x > 0 0, otherwise.

Suppose two such fuses are in series and operate independently in a system. Find the pdf of the lifetime Y of the system. (The system will work only if both the fuses operate.)

Reference no: EM13965235

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