•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
icon
Related questions
Question
100%

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
Transcribed Image Text: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.
Transcribed Image Text:Suppose that X, Y are iid continuous uniform distributions over the interval (0, 1). Find the pdf of Z = X + 2Y.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps with 5 images

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman