单选
设随机变量X~N(0,1),Y~N(0,1),Z~N(0,1),且X、Y、Z相互独立,则X2+Y2+Z2~()
A N(0,3) B <img src="https://www.beizhujiaoyu.com/uploads/202208/161223453191601.png" width="27" height="30" />(3) C t(3) D F(1,1)
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单选
A 1 B -1 C 2 D -2
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单选
A、B为随机事件,则A∪B表示()
A A与B至少有一个发生 B 不可能事件 C A与B恰有一个发生 D A与B不同时发生
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单选
罐中有12颗围棋子,其中8颗白子,4颗黑子,从中任取3颗,则这3颗中至少有一颗黑子的概率为()
A 0.745 B 0.255 C 0.509 D 0.273
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单选
设随机变量X服从参数为2的泊松分布,Y~B(8,),且X,Y相互独立,则D(X-3Y-2)=()
A -15 B 15 C 19 D 18
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单选
A 1-<img src="https://www.beizhujiaoyu.com/uploads/202208/1612234499321.png" width="22" height="20" />(x) B 1-<img src="https://www.beizhujiaoyu.com/uploads/202208/161223451026651.png" width="22" height="20" />(<img src="https://www.beizhujiaoyu.com/uploads/202208/161223450548401.png" width="17" height="37" />) C <img src="https://www.beizhujiaoyu.com/uploads/202208/161223451591451.png" width="22" height="20" />(x) D <img src="https://www.beizhujiaoyu.com/uploads/202208/161223452534041.png" width="22" height="20" />(<img src="https://www.beizhujiaoyu.com/uploads/202208/161223452153231.png" width="17" height="37" />)
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单选
若E(X)=E(Y)=2,Cov(X,Y)=-,则E(XY)=()
A <img src="https://www.beizhujiaoyu.com/uploads/202208/161224078996161.png" width="29" height="52" /> B 4 C <img src="https://www.beizhujiaoyu.com/uploads/202208/161224079463231.png" width="30" height="52" /> D -<img src="https://www.beizhujiaoyu.com/uploads/202208/16122408002621.png" width="20" height="52" />
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A <img src="https://www.beizhujiaoyu.com/uploads/202208/161223618687621.png" width="27" height="30" />(n-1) B <img src="https://www.beizhujiaoyu.com/uploads/202208/161223619083851.png" width="27" height="30" />(n) C t(n-1) D t(n)
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设随机变量x服从参数为1/4的指数分布,则E(x)=()
A <img src="https://www.beizhujiaoyu.com/uploads/202208/161223448360141.png" width="20" height="52" /> B 4 C <img src="https://www.beizhujiaoyu.com/uploads/202208/161223449092331.png" width="27" height="52" /> D 16
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随机变量X与Y相互独立且同分布于N(μ,σ2),σ2>0,则下面结论不成立的是()
A E(2X-2Y)=0 B E(2X+2Y)=4μ C D(2X-2Y)=0 D X与Y不相关
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