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Mathematics, 19.05.2020 16:58 anna8352

A device contains two circuits. The second circuit is a backup for the first, so the second is used only when the first has failed. The device fails when and only when the second circuit fails. Let X and Y be the times at which the first and second circuits fail, respectively. X and Y have joint probability density function f(x, y)= \begin{cases} 6 e^{-x} e^{-2y} & \text{for } 0 < x < y < \infty \\ 0 & \text{otherwise} \end{cases} What is the expected

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