)Let x and y be two continuous random variables whose function is the probability density joint is given by :  a)Draw the relationship between the variables x and y on the Cartesian axes . b)Calculate the marginal pdfs px(X)and py(Y). c)Are the v.a.s x and y independent ?

Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter6: Circles
Section6.CT: Test
Problem 11CT: aIf HP=4, PJ=5, and PM=2, find LP. _ bIf HP=x+1, PJ=x1, LP=8, and PM=3, find x. _
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1)Let x and y be two continuous random variables whose function is the probability density joint is given by : 
a)Draw the relationship between the variables x and y on the Cartesian axes .
b)Calculate the marginal pdfs px(X)and py(Y).
c)Are the v.a.s x and y independent ?

Pay(X, Y) = {
6XY, 0≤x≤ 1,0 ≤ y ≤ √X
0, caso contrário.
Transcribed Image Text:Pay(X, Y) = { 6XY, 0≤x≤ 1,0 ≤ y ≤ √X 0, caso contrário.
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