GATE ST 2021 Q.NO. 18Q: For α>0, let {X_n^((α) ) }_(n≥1)be a sequence of independent random variables such that P(X_n^((α) )=1)=1/n^2α =1-P

Q: For α>0,

be a sequence of independent random variables such that

Let S= {α>0: Xn converges to 0 almost surely as n tends to infinity} . Then the infimum of S equals ______ (round off to 2 decimal places).

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