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急用!由E(xy)=E(x)E(y)能否推出D(xy)=D(x)D(y)?
如果不能,那又能推出什么有关D的结论?
人气:443 ℃ 时间:2020-10-01 13:54:02
解答
只能推出D(X±Y)=D(X)+D(Y) D(X)=E(X²)-E²(X)D(X±Y)=E[(X±Y)²]-E²(X±Y)=E(X²)±2E(XY)+E(Y²)-[E²(X)±2E(X)E(Y)+E²(Y)]=[E(X²)-E²(X)]+[E(Y²)-E²(Y...
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