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单选题 设连续型随机变量
密度函数为
,边缘密度函数分别为
与
,则随机变量
与
相互独立的充分必要条件是
.( )
学科：23-24-2概率论
时间：2024-05-24 02:51:28
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题目1单选题
二维离散型随机变量的边缘分布律可以决定联合分布律.( )A. 对B. 错
题目2单选题
设连续型随机变量<img src="https://tihai-oss-cloud.itihey.com/img/d373d4d264fe9c95d5f47222a2b64935.png">密度函数为<img src="https://tihai-oss-cloud.itihey.com/img/9670e2fae6fa453c47e226c56bd3b88f.png">,边缘密度函数分别为<img src="https://tihai-oss-cloud.itihey.com/img/9ad94b143e9187ef7ae57cbbca09fe5a.png">与<img src="https://tihai-oss-cloud.itihey.com/img/fb68dcf3121b7955cca16f2bbfdcdabc.png">,则随机变量<img src="https://tihai-oss-cloud.itihey.com/img/954833a492bc1f5e68126e00de5769b0.png">与<img src="https://tihai-oss-cloud.itihey.com/img/7e725fe4bf83a180ad231d136852cd61.png">相互独立的充分必要条件是<img src="https://tihai-oss-cloud.itihey.com/img/4dbcdad5ab984307746637159e900571.png"><img src="https://tihai-oss-cloud.itihey.com/img/7706e950cb32f52c32f3eff33b8a0cd6.png"><img src="https://tihai-oss-cloud.itihey.com/img/9c2b8bf0688846a933544e0a32de394f.png">.( )A. 对B. 错[单选题]
题目3单选题
设<img src="https://tihai-oss-cloud.itihey.com/img/9cfd37ac2c52f20e7fd1375adcc94b4e.png">的联合密度函数为<img src="https://tihai-oss-cloud.itihey.com/img/0e513804c7aefabce2c4e00c94052c21.png">,则A=( )A. 3B. <img src="https://tihai-oss-cloud.itihey.com/img/1241ffa2e137ba68d15a32ce40f8f90b.png">C. 2D. <img src="https://tihai-oss-cloud.itihey.com/img/540a0527d3deb5af8c8523cdab48aeac.png">
题目4单选题
随机点<img src="https://tihai-oss-cloud.itihey.com/img/9cfd37ac2c52f20e7fd1375adcc94b4e.png">落在矩形域<img src="https://tihai-oss-cloud.itihey.com/img/460be0c429bc53b0b293575e03f2f2f7.png">的概率为( )A. <img src="https://tihai-oss-cloud.itihey.com/img/7c2b625ebeebc8ffc81915c1cd70c818.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/262e2834b7c07b93ca74821b127f4d88.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/07dbde55d739f92be99b70acf3089774.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/f5091af91a2baa3f29443dd71659bfc3.png">
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