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2.11 Convergence of some sequences of random variables Let V have the ex- ponential distribution with parameter = 3. Determine which of the

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2.11 Convergence of some sequences of random variables Let V have the ex- ponential distribution with parameter \ = 3. Determine which of the four sense(s), a.s., m.s., p., or d., that each of the following three sequences of random variables converges, to a finite limit random variable. (a) Xn = cos() for n > 1. (b) Yn V" for n 1. = n n (c) Zn = (1+) for n 1.

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