Let Xn be a sequence of independent random variables. Let E=wmidsumk=1^infty Xk(w) converges. Then which of the following is always correct?

Q138Section III (Statistics)138 of 190

Kolmogorov's 0–1 law — convergence of an independent series is a tail event

Let $\{X_n\}$ be a sequence of independent random variables. Let $E=\{w\mid\sum_{k=1}^\infty X_k(w)\text{ converges}\}$ . Then which of the following is always correct?

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