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[在线作业] 西南大学19秋[0264] 概率论在线作业

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100分 发表于 2019-9-26 08:46:28 | 显示全部楼层 |阅读模式
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0264 概率论
1.[单选题]下列函数中,(      )可以作为连续型随机变量的分布函数.
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    1.png 2.png 3.png 4.png 5.png
6.[单选题]设随机变量X服从二项分布 <img src="http://fs.eduwest.com/filesys/image.jsp?fc=00quoSe5d2ccd3b_1440a008eec_OUL"/> ,由切比雪夫不等式有 (   ).
    A.<img src="http://fs.eduwest.com/filesys/image.jsp?fc=00quoSe5d2ccd3b_1440a0291f9_USL&rc=QyEFx8H7XhzPN%2FHl0%2B5m%2FA%3D%3D"/>
    B.<img src="http://fs.eduwest.com/filesys/image.jsp?fc=00quoSe5d2ccd3b_1440a02fbc6_USL&rc=QyEFx8H7XhzPN%2FHl0%2B5m%2FA%3D%3D"/>
    C.<img src="http://fs.eduwest.com/filesys/image.jsp?fc=00quoSe5d2ccd3b_1440a035fda_USL&rc=QyEFx8H7XhzPN%2FHl0%2B5m%2FA%3D%3D"/>
    D.<img src="http://fs.eduwest.com/filesys/image.jsp?fc=00quoSe5d2ccd3b_1440a03b962_USL&rc=QyEFx8H7XhzPN%2FHl0%2B5m%2FA%3D%3D"/>
7.[单选题]两人相约7点到8点在某地会面,先到者等候另一人20分钟既可离去,则这两个人能会面的概率为(  ).
    A.0
    B.4/9
    C.5/9
    D.1
8.[单选题]设随机变量X的分布列为  
<p style="text-align: center;"><img src="http://fs.eduwest.com/filesys/image.jsp?fc=00quoSe5d2ccd3b_14409eb10a1_OUL"/>
则常数C=(       ).
    A.1
    B.2
    C.4
    D.5
9.[单选题]设随机变量<img src="http://fs.eduwest.com/filesys/image.jsp?fc=00quoSe5d2ccd3b_14409d62973_OUL"/>的分布函数为
        <img src="http://fs.eduwest.com/filesys/image.jsp?fc=00quoSe5d2ccd3b_14409d65d24_OUL"/>

则其中常数为(   )。

    A.A=1,B= -1
    B.A= -1,B=1
    C.A=1,B=1
    D.A=-1,B=-1
10.[单选题]对事件A、B,下列说法正确的是(   ).
    A.若A与B互不相容,则<img src="http://fs.eduwest.com/filesys/image.jsp?fc=00quoSe5d2ccd3b_14409d338cf_USL&rc=QyEFx8H7XhzPN%2FHl0%2B5m%2FA%3D%3D"/>也互不相容
    B.若A与B相容,则 <img src="http://fs.eduwest.com/filesys/image.jsp?fc=00quoSe5d2ccd3b_14409d3fc51_USL&rc=QyEFx8H7XhzPN%2FHl0%2B5m%2FA%3D%3D"/>也相容
    C.若A与B互不相容,则A与B相互独立
    D.A与B相互独立,则 <img src="http://fs.eduwest.com/filesys/image.jsp?fc=00quoSe5d2ccd3b_14409d50d2b_USL&rc=QyEFx8H7XhzPN%2FHl0%2B5m%2FA%3D%3D"/>也相互独立
11.[单选题]设随机变量X服从两点分布<img src="http://fs.eduwest.com/filesys/image.jsp?fc=00quoSw5d2ccd3b_143faa56887_OUL"/>,其分布律为
           <img src="http://fs.eduwest.com/filesys/image.jsp?fc=00quoSw5d2ccd3b_143faa59e0e_OUL"/>
其中<img src="http://fs.eduwest.com/filesys/image.jsp?fc=00quoSw5d2ccd3b_143faa644b2_OUL"/> , 则X的特征函数为(        ).

    A.<img src="http://fs.eduwest.com/filesys/image.jsp?fc=00quoSw5d2ccd3b_143faa94e36_USL&rc=QyEFx8H7XhxDxatDFYxEfA%3D%3D"/>
    B.<img src="http://fs.eduwest.com/filesys/image.jsp?fc=00quoSw5d2ccd3b_143faa9b273_USL&rc=QyEFx8H7XhxDxatDFYxEfA%3D%3D"/>
    C.<img src="http://fs.eduwest.com/filesys/image.jsp?fc=00quoSw5d2ccd3b_143faaa1280_USL&rc=QyEFx8H7XhxDxatDFYxEfA%3D%3D"/>
    D.<img src="http://fs.eduwest.com/filesys/image.jsp?fc=00quoSw5d2ccd3b_143faaa781b_USL&rc=QyEFx8H7XhxDxatDFYxEfA%3D%3D"/>
12.[单选题]设随机变量<img src="http://fs.eduwest.com/filesys/image.jsp?fc=00quoSw5d2ccd3b_143fa9e43d8_OUL"/>服从参数为<img src="http://fs.eduwest.com/filesys/image.jsp?fc=00quoSw5d2ccd3b_143fa9d9d95_OUL"/>的泊松分布,则<img src="http://fs.eduwest.com/filesys/image.jsp?fc=00quoSw5d2ccd3b_143fa9e82b2_OUL"/>=(        )。
    A.<img src="http://fs.eduwest.com/filesys/image.jsp?fc=00quoSw5d2ccd3b_143faa1b0bd_USL&rc=QyEFx8H7XhxDxatDFYxEfA%3D%3D"/>
    B.<img src="http://fs.eduwest.com/filesys/image.jsp?fc=00quoSw5d2ccd3b_143faa21926_USL&rc=QyEFx8H7XhxDxatDFYxEfA%3D%3D"/>
    C.<img src="http://fs.eduwest.com/filesys/image.jsp?fc=00quoSw5d2ccd3b_143faa28570_USL&rc=QyEFx8H7XhxDxatDFYxEfA%3D%3D"/>
    D.<img src="http://fs.eduwest.com/filesys/image.jsp?fc=00quoSw5d2ccd3b_143faa2eb8b_USL&rc=QyEFx8H7XhxDxatDFYxEfA%3D%3D"/>
13.[单选题]设随机变量X的概率密度函数为
                 <img src="http://fs.eduwest.com/filesys/image.jsp?fc=00quoSw5d2ccd3b_143fa933abd_OUL"/>

则随机变量<img src="http://fs.eduwest.com/filesys/image.jsp?fc=00quoSw5d2ccd3b_143fa93676d_OUL"/>的概率密度为(  ).
    A.<img src="http://fs.eduwest.com/filesys/image.jsp?fc=00quoSw5d2ccd3b_143fa9899b5_USL&rc=QyEFx8H7XhxDxatDFYxEfA%3D%3D"/>
    B.<img src="http://fs.eduwest.com/filesys/image.jsp?fc=00quoSw5d2ccd3b_143fa99a7ac_USL&rc=QyEFx8H7XhxDxatDFYxEfA%3D%3D"/>    无忧答案网

    C.<img src="http://fs.eduwest.com/filesys/image.jsp?fc=00quoSw5d2ccd3b_143fa9a8910_USL&rc=QyEFx8H7XhxDxatDFYxEfA%3D%3D"/>
    D.<img src="http://fs.eduwest.com/filesys/image.jsp?fc=00quoSw5d2ccd3b_143fa9b6ccd_USL&rc=QyEFx8H7XhxDxatDFYxEfA%3D%3D"/>
14.[单选题]已知随机变量X的分布函数为
        <img src="http://fs.eduwest.com/filesys/image.jsp?fc=00quoSw5d2ccd3b_143fa8db717_OUL"/>

则<img src="http://fs.eduwest.com/filesys/image.jsp?fc=00quoSw5d2ccd3b_143fa8e4aac_OUL"/>(        ).
    A.1/4
    B.1/2
    C.3/4
    D.1
15.[单选题]设事件A、B的概率均大于零,且A与B互为逆事件(或称为对立事件),则有(  )。
    A.A与B相互独立
    B.A与B互不相容
    C.A与B相等
    D.A包含B或B包含A
16.[单选题]设<img src="http://fs.eduwest.com/filesys/image.jsp?fc=00quoA55d2ccd3b_143d1d64a0e_OUL"/>服从二维正态分布<img src="http://fs.eduwest.com/filesys/image.jsp?fc=00quoA55d2ccd3b_143d1d6c5b0_OUL"/>,<img src="http://fs.eduwest.com/filesys/image.jsp?fc=00quoA55d2ccd3b_143d1d7221b_OUL"/>是<img src="http://fs.eduwest.com/filesys/image.jsp?fc=00quoA55d2ccd3b_143d1d752fa_OUL"/>独立的(   ).
    A.充分但不必要条件
    B.必要但不充分条件.
    C.无关条件
    D.充分且必要条件
17.[单选题]下列函数可以作为某个随机变量X的概率密度函数的是(    ).
    A.<img src="http://fs.eduwest.com/filesys/image.jsp?fc=00quoA55d2ccd3b_143d1d1b4d5_USL&rc=QyEFx8H7XhxfL6DJhqsA8g%3D%3D"/>
    B.<img src="http://fs.eduwest.com/filesys/image.jsp?fc=00quoA55d2ccd3b_143d1d22c0e_USL&rc=QyEFx8H7XhxfL6DJhqsA8g%3D%3D"/>
    C.<img src="http://fs.eduwest.com/filesys/image.jsp?fc=00quoA55d2ccd3b_143d1d29cad_USL&rc=QyEFx8H7XhxfL6DJhqsA8g%3D%3D"/>
    D.<img src="http://fs.eduwest.com/filesys/image.jsp?fc=00quoA55d2ccd3b_143d1d332f5_USL&rc=QyEFx8H7XhxfL6DJhqsA8g%3D%3D"/>
18.[判断题]X、Y相互独立,则X、Y必不相关.
    A.正确
    B.错误
19.[判断题]X~N(3,4),则P(X<3)= P(X>3).
    A.正确
    B.错误
20.[判断题]若X~B(3,0.2),Y~B(5,0.2),且X与Y相互独立,则X+Y~B(8,0.2).
    A.正确
    B.错误
21.[判断题]每一个连续型随机变量均有方差存在。
    A.正确
    B.错误
22.[判断题]设<img src="http://fs.eduwest.com/filesys/image.jsp?fc=00quoSc5d2ccd3b_14414789a73_OUL"/>为相互独立的随机变量序列,如果数学期望 <img src="http://fs.eduwest.com/filesys/image.jsp?fc=00quoSc5d2ccd3b_14414a12a58_OUL"/> 均为有限的,则序列<img src="http://fs.eduwest.com/filesys/image.jsp?fc=00quoSc5d2ccd3b_14414a17793_OUL"/>服从大数定律.
    A.正确
    B.错误
23.[判断题]设<img src="http://fs.eduwest.com/filesys/image.jsp?fc=00quoSc5d2ccd3b_1441473980c_OUL"/>服从<img src="http://fs.eduwest.com/filesys/image.jsp?fc=00quoSc5d2ccd3b_14414749791_OUL"/>的均匀分布,<img src="http://fs.eduwest.com/filesys/image.jsp?fc=00quoSc5d2ccd3b_1441474de83_OUL"/>,则<img src="http://fs.eduwest.com/filesys/image.jsp?fc=00quoSo5d2ccd3b_14462ee1c16_OUL"/>的密度函数为<img src="http://fs.eduwest.com/filesys/image.jsp?fc=00quoSc5d2ccd3b_144147515a1_OUL"/>。
    A.正确
    B.错误
24.[判断题]随机向量(X,Y)服从二元正态分布,则X的边际分布为正态分布,Y的边际分布也为正态分布.
    A.正确
    B.错误
25.[判断题]设X服从参数为 <img src="http://fs.eduwest.com/filesys/image.jsp?fc=00quoSc5d2ccd3b_14414708bb9_OUL"/>的泊松分布,则<img src="http://fs.eduwest.com/filesys/image.jsp?fc=00quoSc5d2ccd3b_1441470c9da_OUL"/>。
    A.正确
    B.错误
26.[判断题]“ABC”表示三事件A、B、C至少有一个发生.
    A.正确
    B.错误
27.[判断题]已知随机变量 <img src="http://fs.eduwest.com/filesys/image.jsp?fc=00quoSx5d2ccd3b_1440687c654_OUL"/>的联合分布、边际分布如下表
<img src="http://fs.eduwest.com/filesys/image.jsp?fc=00quoSk5d2ccd3b_1445c564bd8_OUL"/>             
则<img src="http://fs.eduwest.com/filesys/image.jsp?fc=00quoSx5d2ccd3b_14406888aea_OUL"/>相互独立。
    A.正确
    B.错误
28.[判断题]设两个相互独立的随机变量 <img src="http://fs.eduwest.com/filesys/image.jsp?fc=00quoSx5d2ccd3b_14406857869_OUL"/>,<img src="http://fs.eduwest.com/filesys/image.jsp?fc=00quoSx5d2ccd3b_14406859c71_OUL"/>的方差分别是 4 和 2 ,则  <img src="http://fs.eduwest.com/filesys/image.jsp?fc=00quoSx5d2ccd3b_1440685d7e5_OUL"/>=44。
    A.正确
    B.错误
29.[判断题]任意随机变量均存在数学期望。
    A.正确
    B.错误
30.[判断题]已知:P(A)=0.2, P(B)=0.5, P(AB)=0.1,则P(A∪B)=0.6.
    A.正确
    B.错误
31.[判断题]“A∪B∪C”表示三事件A、B、C至少有一个发生。
    A.正确
    B.错误
32.[判断题]特征函数<img src="http://fs.eduwest.com/filesys/image.jsp?fc=00quoSx5d2ccd3b_144067d8ec5_OUL"/>具有性质:<img src="http://fs.eduwest.com/filesys/image.jsp?fc=00quoSx5d2ccd3b_144067dc0b1_OUL"/>。
    A.正确
    B.错误
33.[判断题]设X、Y是随机变量,若E(XY)=EX?EY,则X与Y相互独立.
    A.正确
    B.错误
34.[判断题]从一堆产品中任意抽出三件进行检查,事件A表示“抽到的三个产品中合格品不少于2个”,事件B表示“抽到的三个产品中废品不多于2个”,则事件A与B是互为对立的事件。
    A.正确
    B.错误
35.[判断题]X为随机变量,a,b是不为零的常数,则D(aX+b)=aDX+b.
    A.正确
    B.错误
36.[判断题]X为随机变量,a,b是不为零的常数,则E(aX+b)=aEX+b.
    A.正确
    B.错误
37.[判断题]"三事件A、B、C至少有一个发生"表示为“A∪B∪C”.
    A.正确
    B.错误
38.[判断题]随机变量X服从二项分布b (n , p) , 当n充分大时,由中心极限定理,X近似服从正态分布N(np,np(1-p)).
    A.正确
    B.错误
39.[判断题]设A、B为二事件,则A—B=A—AB.
    A.正确
    B.错误
40.[判断题]n个相互独立的随机变量之积的特征函数等于它们特征函数的乘积。
    A.正确
    B.错误
41.[判断题]一批产品有10件正品,3件次品,现有放回的抽取,每次取一件,直到取得正品为止,假定每件产品被取到的机会相同,用随机变量 <img src="http://fs.eduwest.com/filesys/image.jsp?fc=00quoSz5d2ccd3b_143f6a7be4a_OUL"/>表示取到正品时的抽取次数,则<img src="http://fs.eduwest.com/filesys/image.jsp?fc=00quoSz5d2ccd3b_143f6a7fc8e_OUL"/>服从几何分布。
    A.正确
    B.错误
42.[判断题]设A、B、C为三事件,若满足:P(AB)=P(A)P(B),P(AC)=P(A)P(C),P(BC)=P(B)P(C),则事件A、B、C必然相互独立.
    A.正确
    B.错误
43.[问答题]<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2019/09/17/201909171568685443257063553.png" title="201909171568685443257063553.png" alt="201912A19.png"/>
    A.
44.[问答题]<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2019/09/17/201909171568685419083002449.png" title="201909171568685419083002449.png" alt="201912A17.png"/>
    A.
45.[问答题]<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2019/09/17/201909171568685363577080316.png" title="201909171568685363577080316.png" alt="201912A11.png"/>
    A.
46.[问答题]<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2019/09/17/201909171568685394891014219.png" title="201909171568685394891014219.png" alt="201912A15.png"/>
    A.
47.[问答题]<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2019/09/17/201909171568685602712034388.png" title="201909171568685602712034388.png" alt="201912A25.png"/>
    A.
48.[问答题]<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2019/09/17/201909171568685695730022729.png" title="201909171568685695730022729.png" alt="201912A33.png"/>
    A.
49.[问答题]<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2019/09/17/201909171568685628120001176.png" title="201909171568685628120001176.png" alt="201912A27.png"/>
    A.
50.[问答题]<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2019/09/17/201909171568685523475093024.png" title="201909171568685523475093024.png" alt="201912A21.png"/>
    A.
51.[问答题]<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2019/09/17/201909171568685558267033810.png" title="201909171568685558267033810.png" alt="201912A23.png"/>
    A.
52.[问答题]<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2019/09/17/201909171568685656216005560.png" title="201909171568685656216005560.png" alt="201912A29.png"/>
    A.
53.[问答题]<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2019/09/17/201909171568685295299010052.png" title="201909171568685295299010052.png" alt="201912A13.png"/>
    A.
54.[问答题]<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2019/09/17/201909171568685223891003507.png" title="201909171568685223891003507.png" alt="201912A9.png"/>
    A.
55.[问答题]<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2019/09/17/201909171568685169361081284.png" title="201909171568685169361081284.png" alt="201912A7.png"/>
    A.
56.[问答题]<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2019/09/17/201909171568685146745025345.png" title="201909171568685146745025345.png" alt="201912A3.png"/>
    A.
57.[问答题]<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2019/09/17/201909171568685125939038641.png" title="201909171568685125939038641.png" alt="201912A5.png"/>
    A.
58.[问答题]<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2019/09/17/201909171568685052032015407.png" title="201909171568685052032015407.png" alt="201912A1.png"/>
    A.
59.[问答题]<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2019/09/17/201909171568685749378097943.png" title="201909171568685749378097943.png" alt="201912A31.png"/>
    A.
60.[问答题]<img src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2019/09/17/201909171568685774733011841.png" title="201909171568685774733011841.png" alt="201912A35.png"/>
    A.
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