Homework Help is Here – Start Your Trial Now!
Math
Statistics
Consider f(x) = e, x>0, and joint probability density function fxy(x,y)=e, for 0 3 Of Y13=e³-³, y<3 Of y13=e³-y, y>3

Consider f(x) = e, x>0, and joint probability density function fxy(x,y)=e, for 0 3 Of Y13=e³-³, y<3 Of y13=e³-y, y>3

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question
**Question 25** Consider \( f_X(x) = e^{-x} \), \( x > 0 \), and joint probability density function \( f_{XY}(x, y) = e^{-y} \), for \( 0 < x < y \). Determine the conditional distribution of \( Y \) given that \( X = 3 \). - \( \circ \quad f_{Y|3} = e^{-y} - 3, \quad y > 3 \) - \( \circ \quad f_{Y|3} = e^{3-y}, \quad y < 3 \) - \( \circ \quad f_{Y|3} = e^{-y} - 3, \quad y < 3 \) - \( \circ \quad f_{Y|3} = e^{3-y}, \quad y > 3 \)
Transcribed Image Text:**Question 25** Consider \( f_X(x) = e^{-x} \), \( x > 0 \), and joint probability density function \( f_{XY}(x, y) = e^{-y} \), for \( 0 < x < y \). Determine the conditional distribution of \( Y \) given that \( X = 3 \). - \( \circ \quad f_{Y|3} = e^{-y} - 3, \quad y > 3 \) - \( \circ \quad f_{Y|3} = e^{3-y}, \quad y < 3 \) - \( \circ \quad f_{Y|3} = e^{-y} - 3, \quad y < 3 \) - \( \circ \quad f_{Y|3} = e^{3-y}, \quad y > 3 \)
Expert Solution
Step 1

given joint density function of X and Y isfXY(x,y)=e-y, for 0<x<yand marginal probability fuction of X isfX(x)=e-x,x>0

steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
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
SEE MORE TEXTBOOKS