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et X, Y have the joint pdf for a? + y? < 1 and x > 0, y > 0 Cx fx,x O.w. where c is some constant. Question part 3: nd fx(x), the marginal distribution of X. (Answer choices are given in terms of c) O fx(x) = cx/1 – a? for 0 < x < 1, and O otherwise O fx(x) = c(1 – y²) for 0

et X, Y have the joint pdf for a? + y? < 1 and x > 0, y > 0 Cx fx,x O.w. where c is some constant. Question part 3: nd fx(x), the marginal distribution of X. (Answer choices are given in terms of c) O fx(x) = cx/1 – a? for 0 < x < 1, and O otherwise O fx(x) = c(1 – y²) for 0

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Let X, Y have the joint pdf Scx fxx = {0 for r? + y² <1 and x > 0, y > 0 0.w. where c is some constant. Question part 3: find fx (x), the marginal distribution of X. (Answer choices are given in terms of c) O fx(x)= cx/1- x² for 0 < x < 1, and 0 otherwise O fx(x) = c(1 – y²) for 0 < x < 1, and O otherwise O fx(x)= cx/1 – x² for 0 < x < v/1 – y?, and O otherwise | O fx(x) = ; (1 – y?) for 0 < x < V1- y², and 0 otherwise | Question part 4: find fy (y), the marginal distribution of Y. (Answer choices are given in terms of c) fy (y) = ;(1 – y²) for 0 < y < 1, and O otherwise O fy (y) = c/1- y²) for 0 < y < vI- x², and 0 otherwise fy (y) = ;(1 – y²) for 0 <y < V1– a², and 0 otherwise O fr (y) = cx v1 – x² for 0 < y< 1, and 0 otherwise for 0 < y < 1, and O otherwise - Question part 5: What is fxjy (x\y) ? x/1 – x² - fxjr (x\y) for 0 < x <1 and 0 < y < 1, and O otherwise 1– y? - 2x fx\r(x\y) for 0 < x < /1– y? and 0 < y<1, and 0 otherwise 1 – y? x/1 – x² 1– y? fx}r (æ\y) for 0 < x < V1 – y² and 0 < y <1, and O otherwise - O fx\y (x\y) = ca/1 – a² for 0 < x < /1 – y? and 0 < y < 1, and 0 otherwise
Transcribed Image Text:Let X, Y have the joint pdf Scx fxx = {0 for r? + y² <1 and x > 0, y > 0 0.w. where c is some constant. Question part 3: find fx (x), the marginal distribution of X. (Answer choices are given in terms of c) O fx(x)= cx/1- x² for 0 < x < 1, and 0 otherwise O fx(x) = c(1 – y²) for 0 < x < 1, and O otherwise O fx(x)= cx/1 – x² for 0 < x < v/1 – y?, and O otherwise | O fx(x) = ; (1 – y?) for 0 < x < V1- y², and 0 otherwise | Question part 4: find fy (y), the marginal distribution of Y. (Answer choices are given in terms of c) fy (y) = ;(1 – y²) for 0 < y < 1, and O otherwise O fy (y) = c/1- y²) for 0 < y < vI- x², and 0 otherwise fy (y) = ;(1 – y²) for 0 <y < V1– a², and 0 otherwise O fr (y) = cx v1 – x² for 0 < y< 1, and 0 otherwise for 0 < y < 1, and O otherwise - Question part 5: What is fxjy (x\y) ? x/1 – x² - fxjr (x\y) for 0 < x <1 and 0 < y < 1, and O otherwise 1– y? - 2x fx\r(x\y) for 0 < x < /1– y? and 0 < y<1, and 0 otherwise 1 – y? x/1 – x² 1– y? fx}r (æ\y) for 0 < x < V1 – y² and 0 < y <1, and O otherwise - O fx\y (x\y) = ca/1 – a² for 0 < x < /1 – y? and 0 < y < 1, and 0 otherwise
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