The joint PDF of two RVs X and Y is given by 11 marginal PDFs of X and Y. Are X and Y statistically independent? _x²) = ? Fx₁y (way) x dy = $ £_ x³ydy 5 16 x²y² 76x22 1 fx.x.(x, y) = { to t 0, 5 11 ²y, 0
The joint PDF of two RVs X and Y is given by 11 marginal PDFs of X and Y. Are X and Y statistically independent? _x²) = ? Fx₁y (way) x dy = $ £_ x³ydy 5 16 x²y² 76x22 1 fx.x.(x, y) = { to t 0, 5 11 ²y, 0
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.3: Quadratic Equations
Problem 51E
Related questions
Question
![6.
The joint PDF of two RVs X and Y is given by
£.x.x.(2, 1) = { 1, r²y, 0<y<x<2
otherwise
Find the marginal PDFs of X and Y. Are X and Y statistically independent?
8
Fx (1³) = ? Fx,y (wow) x dy = ( 5 x ²ydy
S5
X
C
16
1
= = xy²] · I*
32
02K²2 and pare
5 14 фото
32
O.W
fy(y) = 5 fry (^₂y) du = ≤ ≤ x²y.dk
2
00
у (6
= √2/93/²01²
16
4.5
848
५ (8-५२)
0 Lyc2 and zep
d. W
4
since fx (a). fy. (g) = 25 x "y (8-y²)
32448
X, Y
#
not independent
Fx₁y (^₂y)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1eb9e934-f923-44fa-9c66-608eb1ffc0ab%2Fba8389ed-5bb7-4ee8-8ac8-c2acae7a0b17%2Fs3p1yk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:6.
The joint PDF of two RVs X and Y is given by
£.x.x.(2, 1) = { 1, r²y, 0<y<x<2
otherwise
Find the marginal PDFs of X and Y. Are X and Y statistically independent?
8
Fx (1³) = ? Fx,y (wow) x dy = ( 5 x ²ydy
S5
X
C
16
1
= = xy²] · I*
32
02K²2 and pare
5 14 фото
32
O.W
fy(y) = 5 fry (^₂y) du = ≤ ≤ x²y.dk
2
00
у (6
= √2/93/²01²
16
4.5
848
५ (8-५२)
0 Lyc2 and zep
d. W
4
since fx (a). fy. (g) = 25 x "y (8-y²)
32448
X, Y
#
not independent
Fx₁y (^₂y)
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