Let X be N(0, 1)and Y be N(0, 9) , with X and Y independent. Let Z 2X – 16Y, and let W = 3X3 + 4Y5 %3D a) Find E(Z) b) Find Var(Z) c) Find E(W)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
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Let X be N(0, 1)and Y be N(0,9) , with X and Y independent. Let Z =
2X – 16Y, and let W = 3X³ + 4Y5
a) Find E(Z)
b) Find Var(Z)
c) Find E(W)
Transcribed Image Text:Let X be N(0, 1)and Y be N(0,9) , with X and Y independent. Let Z = 2X – 16Y, and let W = 3X³ + 4Y5 a) Find E(Z) b) Find Var(Z) c) Find E(W)
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