The following holds marginal pdf of X P(X > 3) = re-#(1+y) dy dx = xe-". e¬#" dy dx e¬ª dx = 0.05.
The following holds marginal pdf of X P(X > 3) = re-#(1+y) dy dx = xe-". e¬#" dy dx e¬ª dx = 0.05.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Please explain the calculus portion of the attached screen shot without assuming too much. Thank you.
![(a):
There are two ways to compute the probabilit y. First is to compute marginal
pdf of X and then find X > 3 using the marginal pdf, or compute it
immediately. Since we need to determine marginal pdf's of X and Y in
part (b), we will show you the second way (in which you indirectly compute
pdf of X).
For every adequate set A the following holds
P (X,Y) e A] = ||f(1, 9) dæ dy.
The following holds
marginal pdf of x
Р(X > 3) %3D
re-r(1+u) dy dx =
re-ª
-I¥ dy dx
3
e- dx = -e"
=e-3
0.05.
%3D](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5f9cc468-5045-4ba5-8445-556d55f6f682%2F7afc3f6d-f730-4a75-90ca-83ed6641befb%2F98277wm_processed.png&w=3840&q=75)
Transcribed Image Text:(a):
There are two ways to compute the probabilit y. First is to compute marginal
pdf of X and then find X > 3 using the marginal pdf, or compute it
immediately. Since we need to determine marginal pdf's of X and Y in
part (b), we will show you the second way (in which you indirectly compute
pdf of X).
For every adequate set A the following holds
P (X,Y) e A] = ||f(1, 9) dæ dy.
The following holds
marginal pdf of x
Р(X > 3) %3D
re-r(1+u) dy dx =
re-ª
-I¥ dy dx
3
e- dx = -e"
=e-3
0.05.
%3D
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