Three statistically independent random variables X₁, X₂ and X₂ have mean values X₁ =3, X₂ = 6 and X₂ = -2. Find the mean values of the following functions: g(X₁, X₂, X3)= X₁ +3X₂ +4X3 (a) (b) g(X₁, X₂, X₂)X₁X₂X₂

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 19E
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Three statistically independent random variables X₁, X₂ and X₂ have mean values
X₁ =3, X₂ = 6 and X₂ = -2. Find the mean values of the following functions:
1
2
(a)
(b)
g(X₁, X₂, X3)= X₁ +3X₂ + 4X3
29
g(X₁, X₂, X3) = X₁X₂X₂
29
Transcribed Image Text:Three statistically independent random variables X₁, X₂ and X₂ have mean values X₁ =3, X₂ = 6 and X₂ = -2. Find the mean values of the following functions: 1 2 (a) (b) g(X₁, X₂, X3)= X₁ +3X₂ + 4X3 29 g(X₁, X₂, X3) = X₁X₂X₂ 29
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