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Q50Section ST (Statistics (Q11–Q65))50 of 65

Consequences of almost sure convergence

Let {Xn}n≥1\{X_n\}_{n \ge 1} be a sequence of independent random variables and Xn→a.s.0X_n \xrightarrow{a.s.} 0 as n→∞n \to \infty. Then which of the following options is/are necessarily correct?

Multiple select: one or more options are correct. Select all of them, then submit — marks need the exact set.

Options

Select every correct option, then submit.