Let Xn be a Poisson(n) r.v. for n = 1, 2, . . .. Prove that Xn/n −→ 1 (converge in probability)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 72E
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Let Xn be a Poisson(n) r.v. for n = 1, 2, . . .. Prove that Xn/n −→ 1 (converge in probability)

 

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