katiaciceron7352 katiaciceron7352

11-03-2024
Mathematics

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Let Xₙ be a sequence of iid, equiprobable Bernoulli random variables, and let Yₙ = 2ⁿX₁X₂. . . Xₙ.
(a) Plot a sample sequence. Does this sequence converge almost surely, and if so, to what limit?
(b) Does this sequence converge in the mean square sense?

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