Let X and Y be independent random variables with joint probability density function fxy(x, y) = 1/3 (x+y), 0 < x <= 2, and 0 < y<= 1, and 0 otherwise. The marginal pdf fx(x) is given by O a. O b. О с. O d. (2+2X)/3 (2 + 2X)/3 (X+1/2)/3 (X+1/2)/3 0 < X <= 2 0 < X <= 1 0

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Question
Let X and Y be independent random variables with joint probability density function fxy(x, y) = 1/3
(x + y), 0 < x <= 2, and 0 < y<= 1, and 0 otherwise. The marginal pdf fx(x) is given by
O a.
O b.
O c.
O d.
(2 +2X)/3
(2 + 2X)/3
(X+1/2)/3
(X+1/2)/3
0 < X<= 2
0< X<= 1
0 < X<= 1
0<x<= 2
Transcribed Image Text:Let X and Y be independent random variables with joint probability density function fxy(x, y) = 1/3 (x + y), 0 < x <= 2, and 0 < y<= 1, and 0 otherwise. The marginal pdf fx(x) is given by O a. O b. O c. O d. (2 +2X)/3 (2 + 2X)/3 (X+1/2)/3 (X+1/2)/3 0 < X<= 2 0< X<= 1 0 < X<= 1 0<x<= 2
Expert Solution
steps

Step by step

Solved in 3 steps with 8 images

Blurred answer
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