Exercise 2 Let X₁, X2.... be independent discrete random variables and suppose that X₁, is uniform on the set (1,2,...,n] for each n 2 1. Compute P(X, 5 i.o.). (Hint: use the Borel- Cantelli Lemmal

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 36E
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Exercise 2 Let X1, X2,... be independent discrete random variables and suppose that X, is
uniform on the set {1,2,..., n} for each n 2 1. Compute P(X, = 5 i.o.). [Hint: use the Borel-
Cantelli Lemma]
I just don't get how I use this lemma in this
question.
Transcribed Image Text:Exercise 2 Let X1, X2,... be independent discrete random variables and suppose that X, is uniform on the set {1,2,..., n} for each n 2 1. Compute P(X, = 5 i.o.). [Hint: use the Borel- Cantelli Lemma] I just don't get how I use this lemma in this question.
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