Question
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
( 126e e Oy if 0 <a <y < o0
fxr (a, y)
otherwise
Find the expected time at which the device fails.
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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 ( 126e e Oy if 0 <a <y < o0 fxr (a, y) otherwise Find the expected time at which the device fails. Preview

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