This subject revolves around linear Models. The given problem is attached. I have attempted it but was told to check on Z's range, is my attempt correct? 4. Suppose that X, Y are iid continuous uniform distributionsover the interval (0₁1). Find pdf of 2=X+24• X.Y: independently uniformally dorikated over (0.1)-range of X + 2Y: (02)- Let X+2Y=Z.Forany 0 <=< 1,• f(x+2r) (2) = √∞00 £x(x) {y (2-x) dx = So 1dx=2• For any 1≤2≤2• fcx+2y) (2) = 5-00 £x (x) fy(2-x) dx = √²-1) 10x.1cx=•{(x+2y) (Z) = Zgraph of paf0224132-2, 1 Suppose that X, Y are iid continuous uniform distributions over the interval (0, 1). Find thepdf of Z = X + 2Y.

Answered: Image /qna-images/answer/d655f1a8-cfc6-4d88-bee8-b83d39783e89.jpg

•Suppose that X, Y ore iid continuous uniform distributions. over the interval (0,1). Find pdf of Z=x+2y •X.Y: independently uniformally diorikated over (0.1) 1-range of X + 2Y: (0₁2) - Let X+2Y=Z

•Suppose that X, Y ore iid continuous uniform distributions. over the interval (0,1). Find pdf of Z=x+2y •X.Y: independently uniformally diorikated over (0.1) 1-range of X + 2Y: (0₁2) - Let X+2Y=Z

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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This subject revolves around linear Models. The given problem is attached. I have attempted it but was told to check on Z's range, is my attempt correct?

4. Suppose that X, Y are iid continuous uniform distributions
over the interval (0₁1). Find pdf of 2=X+24
• X.Y: independently uniformally dorikated over (0.1)
-range of X + 2Y: (02)
- Let X+2Y=Z
.For
any 0 <=< 1,
• f(x+2r) (2) = √∞00 £x(x) {y (2-x) dx = So 1dx=2
• For any 1≤2≤2
• fcx+2y) (2) = 5-00 £x (x) fy(2-x) dx = √²-1) 10x.
1cx=
•{(x+2y) (Z) = Z
graph of paf
02241
32-2, 1<z≤2
elsewhere
2
f(z)
#
→X
1-(2-1)=2=2

Suppose that X, Y are iid continuous uniform distributions over the interval (0, 1). Find the
pdf of Z = X + 2Y.

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