Consider continuous random variables X, Y which have a joint pdf as given by [c ifa+yS2, a

Consider continuous random variables X, Y which have a joint pdf as given by 

Transcribed Image Text:

[c ifa+yS2, a 20,y 20, O otherwise. fx.r(x,y)= hus Fx.y(x, y) is equal to the constant c when (x, y) is in the triangular region plotted below, and ero whenever (x, y) is outside. ) Find c ) Findfy(x)and fxr(*\v). It might be helpful to sketch these as a function of x. re X and Y independent ? ) Find E(X), E(Y), E(X2 ), E(Y?), E(XY ) and E(X|Y ). Are X and Y uncorrelated? [c ifa+yS2, a 20,y 20, O otherwise. fx.r(x,y)= hus Fx.y(x, y) is equal to the constant c when (x, y) is in the triangular region plotted below, and ero whenever (x, y) is outside. ) Find c ) Findfy(x)and fxr(*\v). It might be helpful to sketch these as a function of x. re X and Y independent ? ) Find E(X), E(Y), E(X2 ), E(Y?), E(XY ) and E(X|Y ). Are X and Y uncorrelated?