Let X, Y have the joint pdf for x? + y < 1 and æ > 0, y > 0 cx fxy = %3D O.W. where c is some constant. Question part 6: What is Pr X = ? %3D O 12/15 1/4 2/3

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
Let X, Y have the joint pdf
fxx = {
for x? + y² < 1 and æ > 0, y 2 0
cx
0.
O.W.
where c is some constant.
Question part 6:
(x-):
What is Pr X =
O 12/15
O 1/4
O 2/3
Question part 7:
Y
What is Pr ( X >
2
2
(두-시루
Hint: calculate fx\y (x|y) first, then integrate it over the correct region to calculate the
conditional probability. I strongly suggest you draw a picture to figure out the support
of X.
Transcribed Image Text:Let X, Y have the joint pdf fxx = { for x? + y² < 1 and æ > 0, y 2 0 cx 0. O.W. where c is some constant. Question part 6: (x-): What is Pr X = O 12/15 O 1/4 O 2/3 Question part 7: Y What is Pr ( X > 2 2 (두-시루 Hint: calculate fx\y (x|y) first, then integrate it over the correct region to calculate the conditional probability. I strongly suggest you draw a picture to figure out the support of X.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 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