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Mathematics, 13.07.2020 19:01 stricklandashley43

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) = { 6e^-x e^-2y for 0 < x < y < .

What is the expected time at which the device fails?

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