、erasure (11)erasure (-)dfrac (erasure {1)}(2)((x)_(1),(x)_(2),(x)_(3))-|||-(x)_(1)+b(x)_(2)+c(x)_(3)=0,-|||-((X)_(1))=E((X)_(2))=E((X)_(3))=d,-|||-((X)_(1))=Nar((X)_(2))=var((X)_(3))=(sigma )^2.-|||-其中a,b,c,d,σ^2均为常数,求相关系数ρ12,ρ23,ρ 13·-|||-39.设随机变量X与Y都只能取两个值,试证:X与Y独立与不相关是等价的.-|||-40.设随机变量X服从区间 (-0.5,0.5) 上的均匀分布, =cos X, 则X与Y有函数关系.试求Cov-|||-(X,Y).-|||-41.设二维随机变量(X,Y)服从单位圆内的均匀分布,其联合密度函数为-|||-p(x,y)= ,{x)^2+(y)^2lt 1 (x)^2+(y)^2geqslant 1 .-|||-试证X与Y不独立且X与Y不相关.

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