Let X, Y have the joint pdf for x2 + y < 1 and x > 0, y > 0 fx.y O.w. where c is some constant. Question part 4: find fy (y), the marginal distribution of Y. (Answer choices are given in terms of c) O fy (y) = (1 – y²) for 0 < y< v1- x2, and O otherwise O fy (y) = c/1 – y²) for 0

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
Section: Chapter Questions
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Question
Let X, Y have the joint pdf
for x? + y? < 1 and x > 0, y > 0
fx,y
O.w.
where c is some constant.
Question part 4:
find fy (y), the marginal distribution of Y. (Answer choices are given in terms of c)
O fy (y) = ;(1 – y²) for 0 <ys VI- x², and 0 otherwise
%3D
O fy (y) = c/1 – y²) for 0 <y< VI– z², and 0 otherwise
O fy (y) = cxVI – x² for 0 <y< 1, and 0 otherwise
%3D
O fr (y) = (1– y²) for 0 <y S 1, and 0 otherwise
%3D
Question part 5:
What is fxjy (x|y) ?
2x
fxjr (x|y)
for 0 <x < V1 – y? and 0 < y <1, and O otherwise
1– y?
O fxyr (x\y)
= cx/1 – x2
for 0 < æ < V1 – y² and 0 < y <1, and 0 otherwise
x/1– x²
1 – y?
fx|r (x\y) =
for 0 < x < 1 and 0 <y < 1, and O otherwise
a/1– x²
1- y?
fx[y (x|y)
for 0 <x < V1 – y? and 0 <y <1, and O otherwise
Transcribed Image Text:Let X, Y have the joint pdf for x? + y? < 1 and x > 0, y > 0 fx,y O.w. where c is some constant. Question part 4: find fy (y), the marginal distribution of Y. (Answer choices are given in terms of c) O fy (y) = ;(1 – y²) for 0 <ys VI- x², and 0 otherwise %3D O fy (y) = c/1 – y²) for 0 <y< VI– z², and 0 otherwise O fy (y) = cxVI – x² for 0 <y< 1, and 0 otherwise %3D O fr (y) = (1– y²) for 0 <y S 1, and 0 otherwise %3D Question part 5: What is fxjy (x|y) ? 2x fxjr (x|y) for 0 <x < V1 – y? and 0 < y <1, and O otherwise 1– y? O fxyr (x\y) = cx/1 – x2 for 0 < æ < V1 – y² and 0 < y <1, and 0 otherwise x/1– x² 1 – y? fx|r (x\y) = for 0 < x < 1 and 0 <y < 1, and O otherwise a/1– x² 1- y? fx[y (x|y) for 0 <x < V1 – y? and 0 <y <1, and O otherwise
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