The random lifetime of a certain electronic component is given by- $ f_Y(y) = \dfrac{1}{a} e^{-(y/a)}, y>0 $. Two such components are connected in series. The system fails when the first component fails. We've to find the density function of RV $Y_{(1)}$, the lifetime of the system. How should I proceed with this problem?
2026-03-25 20:33:54.1774470834
Density Function of Series Connection
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