Suppose that X, Y, and Z are random variables with X~ Bin(16, 1/4), Y ~ Geom(1/2), and Z ~ PoisSon(5). Suppose further that X and Z are independent but that X and Y are not independent. Match up the following quantities. E(4Y – 2Z) Drag answer here 23 Var(2X +Y) 8 Drag answer here Var(X – Z) -2 Drag answer here E(Y² + Z²) Cannot be determined Drag answer here 36 Var(X+2Z) Drag answer here
Suppose that X, Y, and Z are random variables with X~ Bin(16, 1/4), Y ~ Geom(1/2), and Z ~ PoisSon(5). Suppose further that X and Z are independent but that X and Y are not independent. Match up the following quantities. E(4Y – 2Z) Drag answer here 23 Var(2X +Y) 8 Drag answer here Var(X – Z) -2 Drag answer here E(Y² + Z²) Cannot be determined Drag answer here 36 Var(X+2Z) Drag answer here
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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![Suppose that X, Y, and Z are random variables with X - Bin(16, 1/4), Y ~ Geom(1/2), and Z ~ Poisson(5). Suppose
further that X and Z are independent but that X and Y are not independent. Match up the following quantities.
E(4Y – 2Z)
Drag answer here
23
Var(2X + Y)
8
Drag answer here
Var(X – Z)
-2
Drag answer here
E(Y² + Z®)
Cannot be determined
Drag answer here
36
Var(X+ 2Z)
Drag answer here](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff61bf7b9-73c8-4d8b-8ec9-d91dcd162f0f%2Fd92b8783-fc60-4268-993a-646a0198d328%2Fulti59j_processed.png&w=3840&q=75)
Transcribed Image Text:Suppose that X, Y, and Z are random variables with X - Bin(16, 1/4), Y ~ Geom(1/2), and Z ~ Poisson(5). Suppose
further that X and Z are independent but that X and Y are not independent. Match up the following quantities.
E(4Y – 2Z)
Drag answer here
23
Var(2X + Y)
8
Drag answer here
Var(X – Z)
-2
Drag answer here
E(Y² + Z®)
Cannot be determined
Drag answer here
36
Var(X+ 2Z)
Drag answer here
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