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anonymous
 5 years ago
if the joint probability density of X and Y is given by f(x,y)= .25(2x+y) for 0<x<1, 0<y<2 and 0 elsewhere I need to find the marginal density of X.............I am not sure if I am supposed to use the 0<x<1 or the 0<y<2 for the integral...if someone could answser that then I know how to do the rest of it
anonymous
 5 years ago
if the joint probability density of X and Y is given by f(x,y)= .25(2x+y) for 0<x<1, 0<y<2 and 0 elsewhere I need to find the marginal density of X.............I am not sure if I am supposed to use the 0<x<1 or the 0<y<2 for the integral...if someone could answser that then I know how to do the rest of it

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0its a double integral so take the integral with respect to x with the limits of x and then take that answer and do a second integral with respect to y and use those limits

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0since I'm only looking for the marginal density of X the book says g(x)=\[\int\limits_{?}^{?}\]f(x,y)dy for \[\infty\]<x<\[\infty\]....so its not a double integral in this case...but when I did the problem i used the 0<x<1 but my answer was incorrect, so I'm thinking that maybe i should've used the 0<y<2...any suggestions?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ok wow I didn't know it was going to start a new paragraph everytime I used the equation editor

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i would try that since your taking integral with respect to y

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0It is a double integral first evaluate the integral of y, then evaluate the integral of x\[\int\limits_{0}^{1}\int\limits_{0}^{2}(1/2x+1/4y)dydx\]
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