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单选题 已知离散型随机变量的分布律为,且,则为( )

A. 1/15

B. 4/15

C. 7/30

D. 1/5

概率论与数理统计（仅用于完成作业及单元自测线上部分）课程封面

学科：概率论与数理统计（仅用于完成作业及单元自测线上部分）

时间：2023-12-03 11:55:05

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题目1
单选题
已知离散型随机变量<img src="https://tihai-oss-cloud.itihey.com/img/e22a13f7edcffe98b7a922d3fe5be3b8.png">的分布律为<img src="https://tihai-oss-cloud.itihey.com/img/ea35e65aff8133c2c2da392b08c643e4.png">,且<img src="https://tihai-oss-cloud.itihey.com/img/784ddd09ffb0ac2f95275af4f57b2df5.png">的,则<img src="https://tihai-oss-cloud.itihey.com/img/df38fcaa818086239a028beee806e06b.png">为( )
A. 0.5B. 0.25C. 1D. 0.75
题目2
单选题
设二维随机变量(X,Y)的联合概率密度函数为<img src="https://tihai-oss-cloud.itihey.com/img/dc256d79e08cb51cfc75c8b091bce4cf.png">,则P{X+Y&lt;2}=( )
A. 1/2B. 1/4C. 1D. 2/3
题目3
单选题
设二维随机变量(X,Y)的分布函数为<img src="https://tihai-oss-cloud.itihey.com/img/628a94b6afa3d7b780381cbc129c406e.png">,-&infin;&lt;x&lt;+&infin;,-&infin;&lt;y&lt;+&infin;,则参数A=( )
A. <img src="https://tihai-oss-cloud.itihey.com/img/d8d757cb70d79fa9469894ca2a246435.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/0a6cc51a22a64aa9ad13f72c3bfbe26f.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/a2bf78b86183aaa60dabf18a3d0df9c6.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/5a9263666608cb2c1ef366899a9185a2.png">
题目4
单选题
设二维随机变量(X,Y)的联合分布律为<img src="https://tihai-oss-cloud.itihey.com/img/231fe8e7f801a58b916bff5ac4bd9b4c.jpg">,则P{X=0}=( )
A. 0.7B. 0.4C. 0.3D. 0.6
题目5
单选题
已知离散型随机变量(X,Y)的分布律为<img src="https://tihai-oss-cloud.itihey.com/img/9557ff5e1dcc46e6ae857efac16c5237.png">,则 P{2&le;X&le;3,1&lt;Y&le;2}为( )
A. 0.125B. 0.375C. 0.5D. 0.625
题目6
单选题
设二维随机变量(X,Y)的联合概率密度函数为<img src="https://tihai-oss-cloud.itihey.com/img/b8f883d7cf5e27eac07dd01f17a93d69.png">,则P{X&gt;Y}=( )
A. 2/5B. 4/5C. 3/5D. 1/5
题目7
单选题
已知离散型随机变量<img src="https://tihai-oss-cloud.itihey.com/img/e22a13f7edcffe98b7a922d3fe5be3b8.png">的分布律为<img src="https://tihai-oss-cloud.itihey.com/img/ea35e65aff8133c2c2da392b08c643e4.png">且 <img src="https://tihai-oss-cloud.itihey.com/img/c31276924e707acab741ad2dbb43277e.png">,则<img src="https://tihai-oss-cloud.itihey.com/img/03e13c03f211e99c8562606bc1606af3.png">为( )
A. 0.75B. 0.25C. 1D. 0.5
题目8
单选题
已知离散型随机变量<img src="https://tihai-oss-cloud.itihey.com/img/e22a13f7edcffe98b7a922d3fe5be3b8.png">的分布律为<img src="https://tihai-oss-cloud.itihey.com/img/63039e43e8288979264007cdffae59be.png">,且<img src="https://tihai-oss-cloud.itihey.com/img/cce94e085627cc2f0f76cd1ae56432ee.png">,则<img src="https://tihai-oss-cloud.itihey.com/img/e92e9f4d33a51e1283c192baf812ee9a.png">为( )
A. 1/15B. 4/15C. 7/30D. 1/5
题目9
单选题
设二维随机变量(X,Y)的联合分布律为<img src="https://tihai-oss-cloud.itihey.com/img/5573b444637a2b48f11ffa2b50089512.jpg">,则P{X+Y=1}=( )
A. 5/20B. 1/5C. 1/10D. 3/20
题目10
单选题
已知二维离散型随机变量(X,Y)的分布律为<img src="https://tihai-oss-cloud.itihey.com/img/48b464d09a3e56453d2d93ef02603414.png">, 则P{X+Y&le;3}=( )
A. 0.25B. 0.625C. 0.5D. 1
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