i.e. X1, X2 .…. E (X, + X, + X, are random variables X,) = E (X,) + E ( X, ) + .... E ( X,) .... .. E (x) = #(x) -ΣΕ| i=1 ΣΧ. i=1

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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The mathematical expectation of sum of n random variables is equal to the sum of
their expectations, provided all the expectations exists.
i.e. X,, X2
X, are random variables
in.
1'
E ( X, + X, + ... X, ) = E ( X,) + E ( X2 ) + .... E ( X, )
%3D
E
ΣΧ.
Ë E X,)
Σ
i=1
i=1
Transcribed Image Text:The mathematical expectation of sum of n random variables is equal to the sum of their expectations, provided all the expectations exists. i.e. X,, X2 X, are random variables in. 1' E ( X, + X, + ... X, ) = E ( X,) + E ( X2 ) + .... E ( X, ) %3D E ΣΧ. Ë E X,) Σ i=1 i=1
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