A . 96
B . 72
C . 48
D . 36
[单选题]已知D(X)=2,D(Y)=3,则Cov(X+Y,X-Y)等于().A . 1B . -1C . 5D . 6
[问答题]D(X)=4,D(Y)=9,ρXY=0.5,则D(X-Y)=----------,D(X+Y)=------------.
[问答题]D(X)=4,D(Y)=9,ρXY=0.5,则D(X-Y)=-------------,D(X+Y)=-------------.
[问答题]证明:D(X±Y)=D(X)+D(Y)±2Cov(X,Y).
[问答题]证明:D(X±Y)=D(X)+D(Y)±2Cov(X,Y).
[单选题]已知D:x+y≤1,D1:x≥0,y≥0,x+y≤1,,则()。A . I=JB . I=2JC . I=3JD . I=4J
[单选题]已知D(X)=1,D(Y)=16,ρXY=0.5,则D(X+Y)=( )A.18B.19C.21D.17
[单选题]如果X与Y满足D(X+Y)=D(X-Y),则必有()。A.X与Y相互独立B.X与Y不相关C.D(Y)=0D.D(X)·D(Y)=0
[问答题]已知D(X)=25,D(Y)=36,X与Y的相关系数ρXY=0.4,则D(X+Y)=().
[问答题]已知X、Y相互独立,试证明:D(XY)=D(X)D(Y)+E2(X)D(Y)+E2(Y)D(X).