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Q47Section C (Section C)47 of 60

Mean of the minimum of two Paretos

Let XX and YY be i.i.d. random variables with probability density function f(x)={1/x2if x≥1, 0otherwise.f(x)=\begin{cases}1/x^2& \text{if }x\ge 1,\ 0& \text{otherwise.}\end{cases} Suppose Z=min⁡{X,Y}Z=\min\{X,Y\}, then E(Z)\mathbb{E}(Z) is equal to __________ (answer in integer)

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