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Q48Section C (Section C)48 of 60

A probability in an ordered triple

The joint probability density function of the random vector (X,Y,Z)(X,Y,Z) is given by f(x,y,z)={1xyif 0<z<y<x<1, 0otherwise.f(x,y,z)=\begin{cases}\dfrac{1}{xy}& \text{if }0<z<y<x<1,\ 0& \text{otherwise.}\end{cases} Then the value of P(X>5Y)\mathbb{P}(X>5Y) is equal to __________ (round off to 2 decimal places)

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