Prove Theorem Let X be a random variable with the normal distribution S(x) = z ²] exp[=1/2(x– µ)²lo Then (i) ECX) =µ and (ii) var(X) = o. Hence Ox = 0. %3D

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 22E
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Prove Theorem
Let X be a random variable with the normal distribution
1
S(x) =
exp[-1/2(x - µ)²lo]
|
Then (i) E(X) = µ and (ii) var(X) = o. Hence Ox = .
%3D
%3D
Transcribed Image Text:Prove Theorem Let X be a random variable with the normal distribution 1 S(x) = exp[-1/2(x - µ)²lo] | Then (i) E(X) = µ and (ii) var(X) = o. Hence Ox = . %3D %3D
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