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答案来源：www.ybaotk.com1152 概率论与数理统计
1.[单选题] 袋中有8个玻璃球，其中兰、绿颜色球各4个，现将其任意分成2堆，每堆4个球，则各堆中兰、绿两种球的个数相等的概率为（ ）
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说明
A.2/3
B.18/35
C.7/15
D.1/2
2.[单选题] 已知E(X)=1，E(Y)=2，E(XY)=3，则X,Y的协方差Cov(X，Y)=（ ）
A.3
B.5
C.0
D.1
3.[单选题] 设随机变量X～N(3，22)，则E(2X+3)= （ ）
A.3
B.9
C.15
D.6
4.[单选题] 设A，B，C表示三个事件，则<img width="34" height="15" title="202010111602389054385026908.png" style="width: 25px; height: 15px;" alt="28.png" src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/10/11/202010111602389054385026908.png"/>表示<img width="50" height="26" src="data:image/png;base64,R0lGODlhPwAhAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIABQA6ABcAhAAAAB0AAAAAHR0AMgAAMwAcSB0zWgAzWh1GbDIAHTMAADMzWzNGbjNbgEgcAFozAFozHVszM1luf0huf11/f2xGHW5GRn9uSH9/XWaIiIBbM4iIZgECAwECAwECAwECAwV3ICCK1mieaKqu48VGbCzPgKZWdK6bODrswFwCdQgaZcVR4MhcEUYVwaRJNS1Fj2d1q0g6tuCvSFEAVx3aq7npEIgCyfWx/ZazpQCyfa4V74N+WX9BXSIaeIM6anmJO1ojcY1IJz+SMkMnPZYrmicQm0EloCYuJyEAOw=="/>
A.A，B，C中不多于一个发生
B.A，B，C中有一个发生
C.A，B，C都不发生
D.A，B，C中恰有两个发生
5.[单选题] 某设备由甲、乙两个部件组成，当超载负荷时，各自出故障的概率分别为0.90和0.85，同时出故障的概率是0.80，求超载负荷时至少有一个部件出故障的概率为（ ）
A.0.85
B.0.15
C.0.90
D.0.95
6.[单选题] 设随机变量X的E(X)=μ,D(X)=σ2，用切比雪夫不等式估计P{｜X-E(X)｜≤3σ}≥( )
A.8/9
B.1/3
C.1/9
D.1
7.[单选题] 随机变量X服从区间[a,b]上的均匀分布是指（ ）
A.X落在区间[a,b]的任何子区间内的概率都与子区间的长度成正比
B.X的取值是个常数
C.X落在区间[a,b]的任何子区间内的概率都相同
D.X取区间[a,b]上任何值的概率都等于同一个正常数
8.[单选题] 对于任意两个事件A和B（ ）
A.若AB≠?，则A,B一定独立
B.若AB≠?，则A,B有可能独立
C.若AB=?，则A,B一定独立
D.若AB=?，则A,B一定不独立
9.[单选题] 设随机变量X，Y相互独立，且P{X≤1}=0.5，P{Y≤1}=?，则P{X≤1,Y≤1}=( )
A.2/5
B.3/4
C.1/6
D.1/5
10.[单选题] 已知随机变量X服从参数为4的指数分布，则随机变量X的期望为（ ）
A.4
B.1/4
C.0
D.1
11.[单选题] 在一次读书活动中，某同学从2本科技书和4本文艺书中任选2本，则选中的书都是科技书的概率为（ ）
A.1/4
B.2/15
C.1/3
D.1/15
12.[单选题] 袋中有50个乒乓球，其中20个黄球，30个白球，甲、乙两人依次各取一球，取后不放回，甲先取，则乙取得黄球的概率为( )
A.4/5
B.1/5
C.2/5
D.3/5
13.[单选题] 设A，B为两事件，且P(A)=P(B)=1/3，P(A|B)= 1/6，则<img width="46" height="22" title="202010111602401778578067162.png" style="width: 46px; height: 22px;" alt="31.png" src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/10/11/202010111602401778578067162.png"/> =( )
A.1/2
B.5/12
C.7/12
D.2/3
14.[单选题] <img width="601" height="45" title="202010081602120698547027985.png" style="width: 601px; height: 48px;" alt="捕获.png" src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/10/08/202010081602120698547027985.png"/>.
A.4
B.2
C.7
D.5
15.[单选题] 设随机变量X与Y相互独立，X服从参数为2的指数分布，Y～B(6，0.5)，则E(X-Y)=（ ）
A.-2.5
B.0.5
C.5
D.2
16.[单选题] 设随机变量X,Y都服从区间[0,1]上的均匀分布，则E(X+Y)=（ ）
A.F.0.5
B.1
C.2
D.0
17.[单选题] 设F1(x) ,F2(x)分别为随机变量x1与x2的分布函数,为使F(x)=aF1(x)-bF2(x)是某一随机变量的分布函数, 在下列给定的各组数值中应取( )
A.a=－1/2, b=3/2
B.a=2/3, b=2/3
C.)a=3/2, b=－3/2
D.a=3/5, b=－2/5
18.[单选题] 两封信随机地投入四个邮筒，则第一个邮筒只有一封信的概率为( )
A.0.375
B.0.668
C.0.214
D.0.105
19.[单选题] 设随机变量x与y相互独立，且X~N(1,4),Y~N(0,1),令z=x -y,则D(Z)= ( )
A.5
B.1
C.3
D.6
20.[单选题] 设随机变量X服从参数为0.5的指数分布，用切比雪夫不等式估计P(|X-2|≥3)≤( )
A.1/3
B.1/9
C.1
D.1/2
21.[单选题] 设二元随机变量(X,Y)服从二元正态分布，则X与Y相互独立是X与Y不相关的（ ）
A.无关条件
B.充要条件
C.必要非充分条件
D.充分非必要条件
22.[单选题] 已知E(X)=2，E(Y)=2，E(XY)=4，则X，Y的协方差Cov(X,Y)=( )
A.9
B.0
C.3
D.1
23.[单选题] 甲乙两人相约8－12点在预定地点会面。先到的人等候另一人30分钟后离去，求甲乙两人能会面的概率。（ ）
A.15/64
B.12/53
C.5/62
D.11/53
24.[单选题] 设随机变量X～N(1，4)，F(x)为X的分布函数，Φ(x)为标准正态分布函数，则F(3)=( )
A.φ (3)
B.φ (0.5)
C.φ (0.75)
D.φ(1)
25.[单选题] 设A，B相互独立且都不发生的概率为1/9，又A发生而B不发生的概率与B发生而A不发生的概率相等，则P(A)=( ).
A.2/3
B.1
C.0
D.1/2
26.[单选题] 设事件A,B的概率分别为1/3,1/2 . P(AB)=1/8.求的值（ ）
A.3/8
B.1/6
C.1/2
D.2/8
27.[判断题] 设A,B,C为随机事件，则事件“A,B,C都不发生”可表示为<img width="32" height="22" src="data:image/png;base64,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"/> 。( )
A.正确
B.错误
28.[判断题] 设随机变量X～U (0，5)，且Y=2X，则当0≤y≤10时，Y的概率密度fY (y)=0.2。( )
A.正确
B.错误
29.[判断题] 已知随机变量X的数学期望E(X)存在，则E(X2)=[E(X)]2恒成立。( )
A.正确
B.错误
30.[判断题] 对假设检验问题H0:μ=μ0，H1:μ≠μ0，若给显著水平0.105，在该检验犯第一类错误的概率为0.105。( )
A.正确
B.错误
31.[判断题] 若X,Y不独立，则E(X,Y)≠EX·EY。（ ）
A.正确
B.错误
32.[判断题] 对同一目标连续独立射4次,击中2次,则样本空间S={1,2}。( )
A.正确
B.错误
33.[判断题] 设X<sub>1</sub>，X<sub>2</sub>，X<sub>3</sub> 为总体X的样本，<img width="17" height="20" title="202010111602385533941048369.png" style="color: rgb(0, 0, 0); font-family: sans-serif; font-size: 16px; font-style: normal; font-variant: normal; font-weight: 400; height: 20px; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; width: 17px; word-spacing: 0px;" alt="12.png" src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/10/11/202010111602385533941048369.png"/>=0.25X<sub>1</sub>=0.25X<sub>2</sub>+cX<sub>3，</sub>则当c=9时，<img width="17" height="20" title="202010111602385533941048369.png" style="color: rgb(0, 0, 0); font-family: sans-serif; font-size: 16px; font-style: normal; font-variant: normal; font-weight: 400; height: 20px; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; width: 17px; word-spacing: 0px;" alt="12.png" src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/10/11/202010111602385533941048369.png"/>是E(X)的无偏估计。（ ）
A.正确
B.错误
34.[判断题] X<sub>1</sub>，X<sub>2</sub>，…，X<sub>6</sub>是来自正态总体N(0, 1)的样本，则<img width="54" height="29" title="202010121602473539519035419.png" style="color: rgb(0, 0, 0); font-family: sans-serif; font-size: 16px; font-style: normal; font-variant: normal; font-weight: 400; height: 29px; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; width: 54px; word-spacing: 0px;" alt="13.png" src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/10/12/202010121602473539519035419.png"/>服从F分布。（ ）
A.正确
B.错误
35.[判断题] 设X为随机变量，且D(5X)=50，则D(X)=16。( )
A.正确
B.错误
36.[判断题] 设X<sub>1</sub>、X<sub>2</sub>、X<sub>3</sub>、X<sub>4</sub>为来自总体X～N(0,1)的样本，设Y=(X<sub>1</sub>+X<sub>2</sub>)<sup>2</sup>+(X<sub>3</sub>+X<sub>4</sub>)<sup>2</sup>，则当C=1时，CY～<img width="30" height="23" style="color: rgb(0, 0, 0); font-family: sans-serif; font-size: 16px; font-style: normal; font-variant: normal; font-weight: 400; height: 23px; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; width: 30px; word-spacing: 0px;" src="data:image/png;base64,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"/>. ( )
A.正确
B.错误
37.[判断题] 设A={2，4，6，8}，B={1，2，3，4}，则A-B={2，4} 。( )
A.正确
B.错误
38.[判断题] 设某个假设检验的拒绝域为W，当原假设H0成立时，样本(xl，x2，…，xn)落入W的概率是0.10，则犯第一类错误的概率为0.10.（ ）
A.正确
B.错误
39.[判断题] A,B为任意两随机事件，则不一定有P(A∪B)=P(A)+P(B)。( )
A.正确
B.错误
40.[判断题] 设X,Y为随机变量，若E(XY)=E(X)·E(Y)，则X与Y不一定相互独立。（ ）
A.正确
B.错误
41.[判断题] 设X<sub>1</sub>、X<sub>2</sub>、X<sub>3</sub>、X<sub>4</sub>为来自总体X～N(0,1)的样本，设Y=(X<sub>1</sub>+X<sub>2</sub>)<sup>2</sup>+(X<sub>3</sub>+X<sub>4</sub>)<sup>2</sup>，则当C=8时，CY～<img width="34" height="29" style="width: 34px; height: 29px; text-align: left; color: rgb(0, 0, 0); text-transform: none; text-indent: 0px; letter-spacing: normal; font-family: sans-serif; font-size: 16px; font-style: normal; font-variant: normal; font-weight: 400; text-decoration: none; word-spacing: 0px; white-space: normal; orphans: 2; -webkit-text-stroke-width: 0px;" src="data:image/png;base64,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"/>. ( ) 福建大学答案
A.正确
B.错误
42.[判断题] 若X~B(3,0.2),Y~B(2,0.2),且X与Y相互独立，则X+Y~(5,0.2).( )
A.正确
B.错误
43.[判断题] 设总体X的方差为σ<sup>2</sup>,x<sub>1</sub>,x<sub>2</sub>,…,x<sub>n</sub>为来自该总体的样本,<img width="14" height="16" title="202010111602381937599022437.png" style="width: 14px; height: 16px;" alt="捕获3 - 副本.png" src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/10/11/202010111602381937599022437.png"/>为样本均值，则参数σ<sup>2</sup>的无偏估计为<img width="70" height="35" style="width: 70px; height: 35px;" src="data:image/png;base64,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"/>。( )
A.正确
B.错误
44.[判断题] 设随机变量X与Y相互独立,且X～N(0,l),Y～N(-1,1)，记Z=X-Y，则Z~N(0,1)。( )
A.正确
B.错误
45.[主观填空题] 设<em>A</em>与<em>B</em>是两个随机事件，已知<em>P</em>（<em>A</em>）=0.4，<em>P</em>（<em>B</em>）=0.6,<em> P</em>（<em>A<img width="16" height="14" src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABQAAAARCAYAAADdRIy+AAAAAXNSR0ICQMB9xQAAAAlwSFlzAAASdAAAEnQB3mYfeAAAABl0RVh0U29mdHdhcmUATWljcm9zb2Z0IE9mZmljZX/tNXEAAACYSURBVDjLY2hsbGSgJmYYNXCQG9gQbewj65ZTTIzGHDfZYuPoBp/hYKBxVC8xBkYZy/Z65NUb4jWwvj5W0kTWZEVsfb0kPsPwqcPqFVlZj5VpHR082Azr6Ejj8ZCVXYnNuziTDchQBlmjUx7ReV4wg0EG5UV7eJnIym7HF864vZUXqQrSzMDA8B+GZWVNtkfm1auOZj0UDAAVkfiafQTc9gAAAABJRU5ErkJggg=="/>B</em>）=0.7,则<em>P</em>(<img width="26" height="18" src="data:image/png;base64,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"/>)=___________.
A.
46.[主观填空题] 设随机事件<img width="16" height="17" src="data:image/png;base64,R0lGODlhEAARAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIAAwAMAAsAhAAAAAAAAB0AHQAAMwAcSB0zWgAzWh1GbDMAADNGRjNGbjNbgEgcAFozAEYzRkhuf11/f39uSH9/XWaIiIBbM4iIZgECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwUnICCOY0SeaAoEqpgIbQEMqiPSaBPsRAs0PZKJZDgFRQwSYjfasQAhADs="/>,<img width="16" height="17" src="data:image/png;base64,R0lGODlhEAARAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIAAwALAAsAhAAAAAAAAB0AAB0AHQAAHQAAMwAcSAAzWh1GbDMAADNbgEgcAFozAF1/f0huf2xGHX9/XX9uSGaIiIBbM4iIZgECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwUtICAyQRmIqPgUYpKiB2q8rrjE6MQCzJ6aLxtKEBykfKKZMFXjBRAoU4ngQIUAADs="/>互不相容，且<img width="73" height="21" src="data:image/png;base64,R0lGODlhSQAVAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIAAwBFAA4AhAAAAAAAAB0AAB0AHQAAMx0AMgAcSB0dSAAzWh0zWh1GbDMAADIAHTIAMjNGRjNGbjNbgEgcAFozAEYzRl1/f0huf2xGHX9/XX9uSGaIiIBbM4BuboiIZgECAwECAwECAwXGICACQVkSo9ik7Li2cAxYpbzUrTBGo4bKPNFARhT5RAvYC/BLNZkqoiSQKhSBKQOR0UKMJCOFTAMYprzXlhmAGVRkCVZSRBNx4cdquvWcww4sGiYBP3lETwB+IlODJWgjfRAwJyxafDGMAZYjC2J7kCk6MTSeiTAWiCOSIptInylrbW8xQUIxqQBxiy2KIo04KRGrAK0tEsOPV8WlIlavRpxFgAACJcW7nCWeJpsWzyk0VDuW3J933+jpRGtFvervLUvw8yMhADs="/>，<img width="76" height="24" src="data:image/png;base64,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"/>，则<img width="71" height="29" src="data:image/png;base64,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"/>——。
A.
47.[主观填空题] <img width="1102" height="190" title="202010061601987122805011490.png" style="width: 666px; height: 104px;" alt="2.png" src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/10/06/202010061601987122805011490.png"/>
A.
48.[主观填空题] <img width="805" height="58" title="202010021601608176642050126.png" style="width: 802px; height: 54px;" alt="捕获 - 副本.png" src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/10/02/202010021601608176642050126.png"/>
A.
49.[主观填空题] 已知某地区的人群吸烟的概率是0.2，不吸烟的概率是0.8，若吸烟使人患某种疾病的概率为0.008，不吸烟使人患该种疾病的概率是0.001，则该人群患这种疾病的概率等于______．
A.
50.[主观填空题] 设A，B为两个随机事件，且A与B相互独立，P(A)=0.3，P(B)=0.4，则P(A<img width="14" height="18" src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABIAAAAXCAYAAAAGAx/kAAAAAXNSR0ICQMB9xQAAAAlwSFlzAAASdAAAEnQB3mYfeAAAABl0RVh0U29mdHdhcmUATWljcm9zb2Z0IE9mZmljZX/tNXEAAACVSURBVDjLY2hsbGSgBmYYNYg0g4DgPyl4JIZRR0caj4cMwx6c4SLjsSeto4OHaBc1RBv7MDDIvvHIqzeEidXneRjKMjC8YWAwvhtbXy9JtkEgnOMmWwxymXF0gw9FBkHEKTSovj5W0piB4S4ZXsMS2MZRC0mKfmwuQo5RisMIn/fobxBKYsUSVqSlbCCWdcspHmElJAADQVJf02a0jgAAAABJRU5ErkJggg=="/>)=__________.
A.
51.[主观填空题] <img width="768" height="59" title="202010061601959089090041304.png" style="width: 759px; height: 54px;" alt="捕获.png" src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/10/06/202010061601959089090041304.png"/>
A.
52.[主观填空题] 设随机变量<img width="18" height="16" src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABYAAAAUCAYAAACJfM0wAAAAAXNSR0ICQMB9xQAAAAlwSFlzAAASdAAAEnQB3mYfeAAAABl0RVh0U29mdHdhcmUATWljcm9zb2Z0IE9mZmljZX/tNXEAAADlSURBVDjLY2hsbGSgBWYYNXhgDW6INvZhYGD4j8DGd2Pr6yVBclHGDAuR5YyjG3xIcnF9XqSqMQPDXQYZjz1pHR08cPH6WEkjBtlTph7RhcjiJAVFjptsMbJrOzrSeDyMjbsj8+pVKQrj+jwPQ1kGhjcg7xJjKPEGA70NDg4Tj7XEGEpSqoBElvFdj7x6Q6olN7D3ZRj2MDDIvqGawbAwjc7z8AKFs6xbTjHFBiNHFNzVaMmOZINB6Rc9otCTHckG50WbRsjKmmxHNwCWE4kJDqzpFZ5VkbwNcS1y9sYfkaPFJhwDACSthHfY9t/1AAAAAElFTkSuQmCC"/>与<img width="14" height="16" src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABEAAAAUCAYAAABroNZJAAAAAXNSR0ICQMB9xQAAAAlwSFlzAAASdAAAEnQB3mYfeAAAABl0RVh0U29mdHdhcmUATWljcm9zb2Z0IE9mZmljZX/tNXEAAADQSURBVDjLY2hsbGSgFDOMGoLfkI6ONB4PGYY9DAwM/2FY1i2nGCQXZcywECEu+8Yjr94Qp0tABkE0GN+Nra+XRJaLMpbtZZDx2JPW0cFD0Dv1eR6GsgwMb4yjG3xgYg3Rxj6yxlG96AbgNqQ+VtKYgeEuzCtgQ2VNtqO7jGDAgr1kHLUQHE6ysiuRw4BoQ3LcZItB/nc3lpuF7C2SDAGFAXLskGUI2CVYYohoQ+DpBRgmZKdYbFFMkiFgV5gwrEVPlUQbAgkHRJKnOGCHZlEAAKts8PAMsGNIAAAAAElFTkSuQmCC"/>相互独立，且D(X)＞0，D(Y)＞0，则<img width="18" height="16" src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABYAAAAUCAYAAACJfM0wAAAAAXNSR0ICQMB9xQAAAAlwSFlzAAASdAAAEnQB3mYfeAAAABl0RVh0U29mdHdhcmUATWljcm9zb2Z0IE9mZmljZX/tNXEAAADlSURBVDjLY2hsbGSgBWYYNXhgDW6INvZhYGD4j8DGd2Pr6yVBclHGDAuR5YyjG3xIcnF9XqSqMQPDXQYZjz1pHR08cPH6WEkjBtlTph7RhcjiJAVFjptsMbJrOzrSeDyMjbsj8+pVKQrj+jwPQ1kGhjcg7xJjKPEGA70NDg4Tj7XEGEpSqoBElvFdj7x6Q6olN7D3ZRj2MDDIvqGawbAwjc7z8AKFs6xbTjHFBiNHFNzVaMmOZINB6Rc9otCTHckG50WbRsjKmmxHNwCWE4kJDqzpFZ5VkbwNcS1y9sYfkaPFJhwDACSthHfY9t/1AAAAAElFTkSuQmCC"/>与<img width="14" height="16" src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABEAAAAUCAYAAABroNZJAAAAAXNSR0ICQMB9xQAAAAlwSFlzAAASdAAAEnQB3mYfeAAAABl0RVh0U29mdHdhcmUATWljcm9zb2Z0IE9mZmljZX/tNXEAAADQSURBVDjLY2hsbGSgFDOMGoLfkI6ONB4PGYY9DAwM/2FY1i2nGCQXZcywECEu+8Yjr94Qp0tABkE0GN+Nra+XRJaLMpbtZZDx2JPW0cFD0Dv1eR6GsgwMb4yjG3xgYg3Rxj6yxlG96AbgNqQ+VtKYgeEuzCtgQ2VNtqO7jGDAgr1kHLUQHE6ysiuRw4BoQ3LcZItB/nc3lpuF7C2SDAGFAXLskGUI2CVYYohoQ+DpBRgmZKdYbFFMkiFgV5gwrEVPlUQbAgkHRJKnOGCHZlEAAKts8PAMsGNIAAAAAElFTkSuQmCC"/>的相关系数<img width="42" height="22" src="data:image/png;base64,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"/>______.
A.
53.[主观填空题] <img width="847" height="40" title="202010011601557363621017309.png" style="width: 847px; height: 36px;" alt="捕获.png" src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/10/01/202010011601557363621017309.png"/>
A.
54.[主观填空题] 设P（A | B）=<img width="20" height="37" src="data:image/png;base64,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"/>P（<img width="15" height="20" src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABMAAAAZCAYAAADTyxWqAAAAAXNSR0ICQMB9xQAAAAlwSFlzAAASdAAAEnQB3mYfeAAAABl0RVh0U29mdHdhcmUATWljcm9zb2Z0IE9mZmljZX/tNXEAAADqSURBVEjHY2hsbGSgFmYYNYwyw4DgP7F4NMxobFiUMcNCrIEvK3vTNDovgmSXNUQb+zAwyL7xyKs3BPE7OtJ4YJYYRzf4kGRYjptsMYOMx560jg4emFh9noehLAPDGwbjqIUkGQZ2BZomiGtJdFl9faykMQPDXZgmkBfzok0jQK6SNY7qJSnMYC5ADXyjU5F59aokxyZ6eNXnRaqCXAoyMLa+XpJow0Be8pBh2IMrvGTdcoqJNgw9vDC8jiUmcRoG0WR8F907+NIYVsPgXkQLL3djuVn4XIVhGDjQcZRfMjIyR3FloxFWBAEAjmCvLKLn6JoAAAAASUVORK5CYII="/>）=<img width="20" height="37" src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABkAAAAuCAYAAADdlrJ2AAAAAXNSR0ICQMB9xQAAAAlwSFlzAAASdAAAEnQB3mYfeAAAABl0RVh0U29mdHdhcmUATWljcm9zb2Z0IE9mZmljZX/tNXEAAADzSURBVFjD7Za7DYMwFEXvACyAhIdA7imRCxYAREuFaBjA0LlhiJTswCpswA6JQLKiECy+bpJX3MqSj959XzRNA9sCQQjypSJkFYAnT+vodohSuSM89BPAGkRLlsJnwEgQghBk/SHheOhmnOWJPlfKoQFJkH+HfPTFhsiu09IzDuBDJqVrNZIJJmIZWIUknLWilP5uyPIsAti49sEcgcxcDgymlWAGMNbpT99AM+hw4te81cllYVFZq64tS+6BTJEw0Z3Zjpcr5zZInfLoyjGxzyaetHZPokUeZCyCo7btmEeLMX/iNDLmwLRHrPYJ7fjfgrwAsRSp2hFASyMAAAAASUVORK5CYII="/>P（B | A）=<img width="20" height="37" src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABkAAAAuCAYAAADdlrJ2AAAAAXNSR0ICQMB9xQAAAAlwSFlzAAASdAAAEnQB3mYfeAAAABl0RVh0U29mdHdhcmUATWljcm9zb2Z0IE9mZmljZX/tNXEAAADuSURBVFjDY2hsbGSgNWYYtWTUEgyc4yZbzMDA8N84usGH6pZ0dKTxeMgw7AFZQDNLYLg+z8NQloHhzaglo5aMWoJdIsqYYSEsM4KxjMeetI4OntECctSSkW4JSr4ggEeDi2wMK+MYGIzvxtbXS9LUJyDLPCLr7WhqSZSxbK9HXr0h2ZaAS2XjqIVYfVAfK2nMwHAXV5VAlAWwRh4uSyiOeHCkyppsN5JlOEUTS0DBYMRgtDuyPk8V3KKkhSWwiIQ3W6ltCSgeYBFJE0tA8WDslpeC0QCnpiUYjQg0TGrrhShFNIuT4WnJaB0//CwBACOUqhnFabvfAAAAAElFTkSuQmCC"/>则P（A）= ___________。
A.
55.[主观填空题] <img width="674" height="72" title="202010011601543750011066548.png" style="width: 497px; height: 43px;" alt="捕获.png" src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/10/01/202010011601543750011066548.png"/>
A.
56.[问答题] 设随机变量<em>X</em>～<em>N</em>(0，1)，记<em>Y</em>=2<em>X</em>，求：
(1)P{X<-1}；
(2)P{|<em>X</em>|<1};
(3)<em>Y</em>的概率密度.(<img width="84" height="19" style="width: 84px; height: 19px;" src="data:image/png;base64,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"/>)
A.
57.[问答题] 设连续型随机变量（X,Y）的密度函数为
<img width="205" height="55" title="202010121602471778865080190.png" style="width: 205px; height: 55px;" alt="31.png" src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/10/12/202010121602471778865080190.png"/>
求（1）系数A; (2)落在区域D{0＜x≤1，0＜x≤2}的概率。
A.
58.[问答题] 两门炮轮流向同一目标射击，直到目标被击中为止. 已知第一门炮和第二门炮的命中率分别为0.5和0.6，第一门炮先射，以X表示第二门炮所耗费的炮弹数，试求：
（1）P{X=0}；（2）P(X=1).
A.
59.[问答题] 设事件A在5次独立试验中发生的概率为p，当事件A发生时，指示灯可能发出信号，以X表示事件A发生的次数。
(1)当P{x=l}=P{X=2}时，求p的值；
(2)取p=0.3，只有当事件A发生不少于3次时，指示灯才发出信号，求指示灯发出信号的概率。
A.
60.[问答题] 某种导线的电阻X服从正态分布N(μ, 0.052),现从新生产的导线中抽取9根，测其电阻,得样本标准差s=0.008,对于α=0.05,是否可以认为这批导线电阻的方差仍然为0.052？
A.
61.[问答题] 设A，B为随机事件，P(A)=0.2，P(B|A)=0.4，P(A|B)=0.5．求：
(1)P(AB)；
(2)P(AUB)．
A.
62.[问答题] <img style="margin-right: 2px; vertical-align: middle;" src="http://zuoye.eduwest.com/ueditor/dialogs/attachment/fileTypeImages/icon_doc.gif"/><a style="color: rgb(0, 102, 204); font-size: 12px;" title="题干.docx" href="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/attachFiles/201609141473828802810051188.docx">题干.docx</a>
A.
63.[问答题] 在某次考试中,随机抽取16位考生的成绩,算得平均成绩为<img width="17" height="24" title="202010101602336263837042401.png" style="width: 12px; height: 16px;" alt="1.png" src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/10/10/202010101602336263837042401.png"/>=68.95分。若设这次考试成绩<img width="98" height="19" style="width: 75px; height: 16px;" src="data:image/png;base64,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"/>，在显著性水平a=0.05下,可否认为全体考生的平均成绩为70分?(附:u<sub>0.025</sub>=1.96)
A.
64.[问答题] 设随机变量X的概率密度为
<img width="625" height="85" title="202010111602401538154069857.png" style="width: 625px; height: 85px;" alt="32.png" src="http://zuoye.eduwest.com/resourcefile/uploadFiles/file/questionImgs2018/2020/10/11/202010111602401538154069857.png"/>
A.
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