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

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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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)
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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