Show that for any e > 0 and S, 1X₁, lim P(|S₁-81 ≥ 2) = 0. y'a 3140

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Suppose that a sequence of mutually independent and identically distributed discrete random
variables X₁, X₂, X₁,..., X₁, has the following probability density function
(exe-e
f(x; 0) =
x!
n
0,
▸
for x = 0,1,2,...
elsewhere
a) Show that for any e > 0 and Sn = 1X₁, lim P(IS₁ - 0 ≥ 2) = 0.
11-400
Transcribed Image Text:Suppose that a sequence of mutually independent and identically distributed discrete random variables X₁, X₂, X₁,..., X₁, has the following probability density function (exe-e f(x; 0) = x! n 0, ▸ for x = 0,1,2,... elsewhere a) Show that for any e > 0 and Sn = 1X₁, lim P(IS₁ - 0 ≥ 2) = 0. 11-400
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