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单选题 设随机变量
的密度函数为
则
( )
A. 
B. 
C. 
D. 
学科：默认课程
时间：2025-12-18 11:54:04
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题目1单选题
设<img src="https://tihai-oss-cloud.itihey.com/img/8392a736fd12a03118bdad9f413ac198.png">,则随着<img src="https://tihai-oss-cloud.itihey.com/img/36eb83eb18325d71c6030c7d63bcd0ed.png">的增大,概率<img src="https://tihai-oss-cloud.itihey.com/img/441249a69ec230f67cbeed3947f334c9.png">( )A. 增减不定B. 保持不变C. 单调增加D. 单调减小
题目2单选题
若<img src="https://tihai-oss-cloud.itihey.com/img/5dced5d2ad3e9e8e3dca5a553ab261d7.png">是来自总体<img src="https://tihai-oss-cloud.itihey.com/img/2132541515be970ddba26b9088d28c87.png">的一个样本,<img src="https://tihai-oss-cloud.itihey.com/img/df1fe71369b6bd13d920a6b984762e33.png">,则以下估计量中最有效的是( )A. <img src="https://tihai-oss-cloud.itihey.com/img/4269124c35ce1c39f35f80d51660e118.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/549682ea2714c9bb5fd3fd873833725f.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/f58f2c436ab57ef86ebe25d66570dc66.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/a3943776e5c67190940230fb485ac6a7.png">
题目3单选题
设随机变量<img src="https://tihai-oss-cloud.itihey.com/img/2132541515be970ddba26b9088d28c87.png">的密度函数为<img src="https://tihai-oss-cloud.itihey.com/img/40398e8d70087492fd9034a2d52650cf.png">则<img src="https://tihai-oss-cloud.itihey.com/img/3199fde4a05199dd61ff345b4d322e81.png">( )A. <img src="https://tihai-oss-cloud.itihey.com/img/4926a32528db9d122648a38b508b52a4.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/21fd2e2dbe9d9877f08760a3f00c38cd.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/a4940c6be6dd0397961093af3fba2d20.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/6ea53902f68a7558650dde673d0410ac.png">
题目4单选题
掷两枚均匀的硬币,出现一正一反的概率为( )A. <img src="https://tihai-oss-cloud.itihey.com/img/87b5b6d94d71625821fba28a18a4fb8f.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/a4940c6be6dd0397961093af3fba2d20.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/4926a32528db9d122648a38b508b52a4.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/6ea53902f68a7558650dde673d0410ac.png">
题目5单选题
"A发生且B不发生"这一事件可表示为( )A. <img src="https://tihai-oss-cloud.itihey.com/img/7ffcaed65404cf50aa4b601fdf8a904e.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/f835614660249be8f64802f0a68ff0cb.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/3aea19c43c32f872b117e753d10db8cf.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/8c6b61a459bad1a4940cffb701a0b831.png">
题目6单选题
若随机变量<img src="https://tihai-oss-cloud.itihey.com/img/4326640c11c62041aedc99c2c633c477.png">的联合密度函数为<img src="https://tihai-oss-cloud.itihey.com/img/d9a0d90686dab143a9e6b2c4bc9b410a.png">则随机变量<img src="https://tihai-oss-cloud.itihey.com/img/2132541515be970ddba26b9088d28c87.png">与<img src="https://tihai-oss-cloud.itihey.com/img/f8e91220243d19401df4bef0bc5b82d4.png">( )A. 独立同分布B. 不独立也不同分布C. 独立不同分布D. 不独立同分布
题目7单选题
若<img src="https://tihai-oss-cloud.itihey.com/img/2132541515be970ddba26b9088d28c87.png">与<img src="https://tihai-oss-cloud.itihey.com/img/f8e91220243d19401df4bef0bc5b82d4.png">相互独立且均服从标准正态分布,则<img src="https://tihai-oss-cloud.itihey.com/img/bbe9a2144d673d5cf626317e7ad4001c.png">( )A. 服从<img src="https://tihai-oss-cloud.itihey.com/img/865a70b6230b867a64857e8ad844cee8.png">B. 服从<img src="https://tihai-oss-cloud.itihey.com/img/7ed828d5180153816d54b7ecfa6f4f7c.png">C. 不一定服从正态分布D. 服从<img src="https://tihai-oss-cloud.itihey.com/img/35ca813ac837440daff6d04ff8cd58a9.png">
题目8单选题
设随机变量<img src="https://tihai-oss-cloud.itihey.com/img/2132541515be970ddba26b9088d28c87.png">的密度函数为<img src="https://tihai-oss-cloud.itihey.com/img/5ca90570422e2a51d56f9a0de7df9732.png">(<img src="https://tihai-oss-cloud.itihey.com/img/47f4e1c854611c0e8508eaa00a1f3a51.png">),则常数<img src="https://tihai-oss-cloud.itihey.com/img/5f4e2bb9a20b67e98fe787cab962a1ba.png">( )A. <img src="https://tihai-oss-cloud.itihey.com/img/742ec2787daf5f26bdb56df269a7d6b1.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/ce04680e245c92c65c0dcd34c6264fae.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/baabf9d543e47ceedfc4183d4b41a376.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/8b66bac0f09b1585f781855cfde96da5.png">
题目9判断题
设<img src="https://tihai-oss-cloud.itihey.com/img/4326640c11c62041aedc99c2c633c477.png">的密度函数为<img src="https://tihai-oss-cloud.itihey.com/img/d901e046b5f46b67a94df68bc9497949.png">,则<img src="https://tihai-oss-cloud.itihey.com/img/6b575be7951b52705437af06faea6aa1.png">A. 正确B. 错误
题目10判断题
设<img src="https://tihai-oss-cloud.itihey.com/img/2980d179b9b0fe5ff1e8a7e8ca6e7c5b.png">是来自正态总体<img src="https://tihai-oss-cloud.itihey.com/img/5070536b46f3a23bfef1fad16b1e7655.png">的样本,<img src="https://tihai-oss-cloud.itihey.com/img/1e1495ae7e05fe67c87d3e07f0c0e730.png">为样本方差,则<img src="https://tihai-oss-cloud.itihey.com/img/1e1495ae7e05fe67c87d3e07f0c0e730.png">是<img src="https://tihai-oss-cloud.itihey.com/img/bc4382c414eb1fdbc51815c3e3c87f3d.png">的无偏估计量A. 正确B. 错误
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