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P(X, = n) = = 1- P(X, =0) (Xn)n22 is one sequence of independent random variables. It applies n* log(n) {x; - E[X;]) =, 0 Show that the sequence satisfies the weak law of large numbers, but not the strong law of large numbers. ( You should show that i=2 but not almost surely convergent).

P(X, = n) = = 1- P(X, =0) (Xn)n22 is one sequence of independent random variables. It applies n* log(n) {x; - E[X;]) =, 0 Show that the sequence satisfies the weak law of large numbers, but not the strong law of large numbers. ( You should show that i=2 but not almost surely convergent).

A First Course in Probability (10th Edition)
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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1 P(X, = n) = = 1– P(X, = 0) (Xn)n22 is one sequence of independent random variables. It applies n * log(n) (X; - E[X;]) = o Show that the sequence satisfies the weak law of large numbers, but not the strong law of large numbers. ( You should show that almost surely convergent). i=2 but not
Transcribed Image Text:1 P(X, = n) = = 1– P(X, = 0) (Xn)n22 is one sequence of independent random variables. It applies n * log(n) (X; - E[X;]) = o Show that the sequence satisfies the weak law of large numbers, but not the strong law of large numbers. ( You should show that almost surely convergent). i=2 but not
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