Var(X – Z) Drag answer here E(4Y - 2Z) Drag answer here Var(2X + Y)

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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Question
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.
Var(X - Z)
Drag answer here
E(4Y - 2Z)
Drag answer here
Var(2X + Y)
Drag answer here
E(Y² + Z²)
Drag answer here
Var(X + 2Z)
Cannot be
determine
d
-2
8
36
23
Drag answer here
Please answer all parts of the question.
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. Var(X - Z) Drag answer here E(4Y - 2Z) Drag answer here Var(2X + Y) Drag answer here E(Y² + Z²) Drag answer here Var(X + 2Z) Cannot be determine d -2 8 36 23 Drag answer here Please answer all parts of the question.
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