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) ~ ~
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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Question
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc86229f7-e5a9-4e38-b872-4fc8db453ef1%2F4f2e236c-7543-4133-97e7-79c08882ac83%2F59rct1_processed.png&w=3840&q=75)
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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