Question: (Almost Sure Convergence) Consider the stochastic sequence $${U_n}$$ where Show that (U converges in probability to zero but that [UN] does not converge almost surely

(Almost Sure Convergence) Consider the stochastic sequence $$\{U_n\}$$ where

Pr(UU): = {} if U=0 N if U-1

Show that (U converges in probability to zero but that [UN] does not converge almost surely to zero.

Pr(UU): = {} if U=0 N if U-1

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