Suppose that X, Y, and Z are random variables with X Bin(7, 1/6), Y Geom(1/2), and Poisson(6). Suppose further that X and Y are independent but that X and Z are not independent. Match up the following quantities. Z ~ Var(2X + Y) ~ ~

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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Suppose that X, Y, and Z are random variables with X~ Bin(7, 1/6), Y ~ Geom(1/2), and
Z Poisson (6). Suppose further that X and Y are independent but that X and Z are not
independent. Match up the following quantities.
Var(2X + Y)
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Var(X + Y)
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E(Y² – Z²)
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E(-Y + Z)
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Var(X + 2Z)
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4
-36
107/36
Cannot be determined
53/9
Transcribed Image Text:Suppose that X, Y, and Z are random variables with X~ Bin(7, 1/6), Y ~ Geom(1/2), and Z Poisson (6). Suppose further that X and Y are independent but that X and Z are not independent. Match up the following quantities. Var(2X + Y) Drag answer here Var(X + Y) Drag answer here E(Y² – Z²) Drag answer here E(-Y + Z) Drag answer here Var(X + 2Z) Drag answer here 4 -36 107/36 Cannot be determined 53/9
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