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GATE2019-20

Let $Z$ be an exponential random variable with mean $1$. That is, the cumulative distribution function of $Z$is given by

$F_{z}(x)=$$\begin{Bmatrix} 1-e^{-x}& if x\geq 0 \\ 0& if x< 0 \end{Bmatrix}$

Then Pr$(z>2|z>1)$, rounded off to two decimal places, is equal to ___________.

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