=+10.25. Let U be a random variable that has the Uniform(0, 1) distribution. Define n = n1(Un1),

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=+10.25. Let U be a random variable that has the Uniform(0, 1) distribution.

Define ξn = n1(U≤n−1), n ≥ 1.

(i) Show that ξn a.s. −→ 0 as n → ∞.

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