E n Σ(x − x) = (n − 1)σ. - -

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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4. Let X₁, X₂,..., X be mutually independent and identically distributed random
variables with means μ and variance o². Let X = (1 X₂)/n. Show that
n
n
Σ(x₁ - x)² = (X₁ - µ)² - n(X − µ)²
-
Σ
μ)
k=1
k=1
216
n
EΣ(X₁ - X)² = (n − 1)0².
59²] =(
Lk=1
and hence
EXPECTATION
Transcribed Image Text:4. Let X₁, X₂,..., X be mutually independent and identically distributed random variables with means μ and variance o². Let X = (1 X₂)/n. Show that n n Σ(x₁ - x)² = (X₁ - µ)² - n(X − µ)² - Σ μ) k=1 k=1 216 n EΣ(X₁ - X)² = (n − 1)0². 59²] =( Lk=1 and hence EXPECTATION
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