Let X Y and Z be independent normal random variables with E (X) = Mx, E (Y) = My₂ E (Z) = M², var (x) = 0²x Var (y) = 0²y₁ var (Z) = 0³² z Let u=x+7 and V=Y+Z 2 9. What is the marginal distribution of U? b. What is the marginal distribution of V? c. Obtan Cov (UV)
Let X Y and Z be independent normal random variables with E (X) = Mx, E (Y) = My₂ E (Z) = M², var (x) = 0²x Var (y) = 0²y₁ var (Z) = 0³² z Let u=x+7 and V=Y+Z 2 9. What is the marginal distribution of U? b. What is the marginal distribution of V? c. Obtan Cov (UV)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![Let X Y and Z be independent normal random
variables with E (X) = Mx₂ E (Y) = My E (Z) = M²,
var (x) = 0²x Var (y) = 0²y₁ var (7) = 0²³₂
Let u =x+Z and V=Y+Z
2
2
a. What is the marginal distribution of U?
b. What is the marginal distribution of V?
c. Obtan Cov (UV)
d. What is the disjoint distribution of (U,V)?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5b4fbf6e-8810-434c-ad0b-f7ea3ee043ec%2F6dc7c07d-2b86-47a6-89b1-6c52a05769c3%2Fxdvzcvf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let X Y and Z be independent normal random
variables with E (X) = Mx₂ E (Y) = My E (Z) = M²,
var (x) = 0²x Var (y) = 0²y₁ var (7) = 0²³₂
Let u =x+Z and V=Y+Z
2
2
a. What is the marginal distribution of U?
b. What is the marginal distribution of V?
c. Obtan Cov (UV)
d. What is the disjoint distribution of (U,V)?
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