e n Show that for any &> 0 and S, ₁X₁, lim P(S₁-0 ≥ 8) = 0. =

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, X3,...,X₂ has the following probability density function
(0xe-0
x!
f(x; 0) =
0,
*
for x = 0,1,2,...
elsewhere
a) Show that for any e > 0 and S₁ = ₁X₁, lim P(S₁-0 ≥ 8) = 0.
1m
Transcribed Image Text:Suppose that a sequence of mutually independent and identically distributed discrete random variables X₁, X2, X3,...,X₂ has the following probability density function (0xe-0 x! f(x; 0) = 0, * for x = 0,1,2,... elsewhere a) Show that for any e > 0 and S₁ = ₁X₁, lim P(S₁-0 ≥ 8) = 0. 1m
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