求:D(X),D(Y),Cov(X,Y).


求:D(X),D(Y),Cov(X,Y).
【正确答案】:

(1)E(X)=E(Y)=-3×0.2+3×0.2=0,E(X^2)=E(Y^2)=9×0.2+9×0.2=3.6

D(X)=E(X^2)-(E(X))^2=3.6,D(Y)=E(Y^2)-(E(Y))^2=3.6

(2)XY可能取值有:0、9、-9

P(XY=0)=0.84,

P(XY=9)=0.08,

P(XY=-9)=0.08,

所以E(XY)=0

COV(X,Y)=E(XY)-E(X)E(Y)=0


【题目解析】:
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