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Mathematics 21 Online
OpenStudy (loser66):

Find marginal density of Y2 \(f(y1,y2)= 6y_1^2y_2 ~~if~~0\leq y_1\leq y_2;y_1+y_2\leq 2\) =0 elsewhere. Please, help

OpenStudy (loser66):

I don't know how to deal with limits. :(

OpenStudy (zarkon):

draw a picture

OpenStudy (loser66):

|dw:1455484599950:dw|

OpenStudy (loser66):

then?

OpenStudy (zarkon):

draw y1=y2

OpenStudy (loser66):

why?

OpenStudy (zarkon):

boundry of \(y_1\le y_2\)

OpenStudy (loser66):

|dw:1455484718167:dw|

OpenStudy (zarkon):

now integrate over \(y_1\)

OpenStudy (loser66):

|dw:1455484780410:dw|

OpenStudy (zarkon):

|dw:1455484811667:dw|

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