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Suppose that we have N independent and identically distributedRandomVariables (RVs) say [tex]X_1, X_2, \ldots, X_N[/tex]. Suppose then that we arrange these RVs in magnitude and in an ascending order as [tex]X_{(1)}\leq X_{(2)}\leq \dots \leq X_{(N)}[/tex]. Now, the question is: what is the probability that we select atrandomany of these RVs? For example, mathematically:

[tex]\mbox{Pr}\left(X=X_3\right)=??[/tex]

Thanks in advance

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# Order Statistics

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