《概率论与数理统计》地大模拟百分
《概率论与数理统计》考前练兵1.[单选题] 对于事件A,B,下列命题正确的是().
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A.若A,B互不相容,则与也互不相容
B.若A,B相容,那么与也相容
C.若A,B互不相容,且概率都大于零,则A,B也相互独立
D.若A,B相互独立,那么与也相互独立.
答:——D——
2.[单选题] 在一次假设检验中,下列说法正确的是().
A.既可能犯第一类错误也可能犯第二类错误
B.如果备择假设是正确的,但作出的决策是拒绝备择假设,则犯了第一类错误
C.增大样本容量,则犯两类错误的概率都不变
D.如果原假设是错误的,但作出的决策是接受备择假设,则犯了第二类错误
答:——A——
3.[单选题] 对总体X~N(μ,σ2)的均值?和作区间估计,得到置信度为95%的置信区间,意义是指这个区间().
A.平均含总体95%的值
B.平均含样本95%的值
C.有95%的机会含样本的值
D.有95%的机会的机会含μ的值
答:——D——
4.[单选题] 在假设检验问题中,犯第一类错误的概率α的意义是().
A.在H0不成立的条件下,经检验H0被拒绝的概率
B.在H0不成立的条件下,经检验H0被接受的概率
C.在H0成立的条件下,经检验H0被拒绝的概率
D.在H0成立的条件下,经检验H0被接受的概率
答:————
5.[单选题] 在一次假设检验中,下列说法正确的是().
A.第一类错误和第二类错误同时都要犯
B.如果备择假设是正确的,但作出的决策是拒绝备择假设,则犯了第一类错误
C.增大样本容量,则犯两类错误的概率都要变小
D.如果原假设是错误的,但作出的决策是接受备择假设,则犯了第二类错误
答:————
6.[单选题] 在一个确定的假设检验中,与判断结果相关的因素有().
A.样本值与样本容量
B.显著性水平
C.检验统计量
D.A,B,C同时成立
答:————
7.[单选题] 对正态总体的数学期望?进行假设检验,如果在显著水平0.05下接受H0:μ=μ0,那么在显著水平0.01下,下列结论中正确的是().
A.必须接受H0
B.可能接受,也可能拒绝H0
C.必拒绝H0
D.不接受,也不拒绝H0
答:————
8.[单选题] 已知P(A)=0.4,P(B)=0.6,P(B|A)=0.5,则P(A|B)=().
A.1/2
B.1/3
C.10/3
D.1/5
答:————
9.[单选题] 甲.乙两人独立的对同一目标各射击一次,其中命中率分别为0.6和0.5,现已知目标被命中,则它是乙命中的概率是().
A.3/5
B.5/11
C.5/8
D.6/11
答:————
10.[单选题] 某人射击时,中靶的概率为2/3,如果射击直到中靶子为止,则射击次数为3的概率().
A.2/27
B.2/9
C.8/27
D.1/27
答:————
11.[单选题] 变量X的密度函数为,则常数C=().
A.3
B.4
C.1/4
D.1/3
答:————
12.[单选题] 设随机变量X~N(μ,σ2),则随着σ的增大,概率为().
A.单调增加
B.单调减少
C.保持不变
D.增减不定
答:————
13.[单选题] 设随机变量X和Y均服从正态分布X~N(μ,42),Y~N(μ,52),记,则().
A.对任何实数μ都有p1=p2
B.对任何实数μ都有p1<p2
C.仅对个别值有p1=p2
D.对任何实数μ都有p1>p2
答:————
14.[单选题] 袋中有50个乒乓球,其中20个黄的,30个白的,现在两个人不放回地依次从袋中随机各取一球.则第二人取到黄球的概率是().
A.1/5
B.2/5
C.3/5
D.4/5
答:————
15.[单选题] 事件”甲种产品畅销,乙种产品滞销”,则其对立事件A为().
A.”甲种产品滞销,乙种产品畅销”
B.”甲.乙两种产品均畅销”
C.”甲种产品滞销”
D.”甲种产品滞销或乙种产品畅销”
答:————
16.[单选题] 常见随机变量的分布中,数学期望和方差一定相等的分布是()
A.二项分布
B.标准正态分布
C.指数分布
D.泊松分布.
答:————
17.[单选题] 设<img id="ODiidkhTEMP20200721101749282.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODiidkhTEMP20200721101749282.png?Expires=1910657869&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=sY606lPYFz6Tjd6qwU6uG/92X0k%3D" />是未知参数?的一个估计量,若<img id="ODgfduiTEMP20200721101749598.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODgfduiTEMP20200721101749598.png?Expires=1910657869&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=yL9JOVHfRiN6NIwy2ZxHojvaJFg%3D" />则<img id="ODjbvezTEMP20200721101749741.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODjbvezTEMP20200721101749741.png?Expires=1910657869&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=%2BDy6kgJhdk33ylBAZ0Fay87kAdI%3D" />是?的().
A.极大似然估计
B.矩法估计
C.相合估计
D.有偏估计
答:————
18.[单选题] 在对单个正态总体均值的假设检验中,当总体方差已知时,选用().
A.t检验法
B.u检验法
C.F检验法
D.σ2检验法
答:————
19.[单选题] 设A和B为两个任意事件,且,P(B)>0,则必有().<br><img id="ODjednxTEMP20200721101749893.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODjednxTEMP20200721101749893.png?Expires=1910657870&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=LYlxARhCr08IW4Pa5VTXm0M4aZw%3D" />
A.A
B.B
C.C
D.D
答:————
20.[单选题] 设A和B为两个任意事件,则下列关系成立的是().<br><img id="ODpihvvTEMP20200721101750262.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODpihvvTEMP20200721101750262.png?Expires=1910657870&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=TvDCv3c1PG6R0c0aUZnNKZF0Q0Y%3D" />
A.A
B.B
C.C
D.D
答:————
21.[单选题] 设A和B为两个任意事件,且,则必有().<br><img id="ODjyfycTEMP20200721101750645.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODjyfycTEMP20200721101750645.png?Expires=1910657870&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=t65/22ovYltU%2B3BZxk1A7MphcCI%3D" />
A.A
B.B
C.C
D.D
答:————
22.[单选题] 设每次实验成功的概率为p(0<p<1)则在三次独立重复试验中至少一次成功的概率为().
A.p3
B.1-p3
C.(1-p)3
D.1-(1-p)3
答:————
23.[单选题] 设一随机变量X的密度函数,F(x)是X的分布函数,则对任意实数a有().<br><img id="ODtjmgiTEMP20200721101750799.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODtjmgiTEMP20200721101750799.png?Expires=1910657870&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=ZB8L/NCSMWgYjkHkXlTJ0NL2cqk%3D" />
A.A
B.B
C.C
D.D
答:————
24.[单选题] 设X和Y相互独立,且分别服从N(0,1)和N(1,1)则().<br><img id="ODwarimTEMP20200721101750992.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODwarimTEMP20200721101750992.png?Expires=1910657871&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=R90LV6sPYwv90Sp9GR5vq7yFzU8%3D" />
A.A
B.B
C.C
D.D
答:————
25.[单选题] 总体方差D等于().<br><img id="ODezvjqTEMP20200721101751171.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODezvjqTEMP20200721101751171.png?Expires=1910657871&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=DpuVQcegeuXtKTUstT%2BvBs3ifqU%3D" />
A.A
B.B
C.C
D.D
答:————
26.[单选题] 设X1,X2,…,Xn为来自总体的一个样本,为样本均值,EX未知,则总体方差DX的无偏估计量为().<br><img id="ODylcipTEMP20200721101751321.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODylcipTEMP20200721101751321.png?Expires=1910657871&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=YSoMb90uKr60AJJ190rn6hUkWOE%3D" />
A.A
B.B
C.C
D.D
答:————
27.[单选题] 设总体X~f(x,θ),θ为未知参数,X1,X2,…,Xn为X的一个样本,θ1(X1,X2,…,Xn).θ2(X1,X2,…,Xn)为两个通缉量(θ1,θ2)为θ的置信度为1-α的置信区间,则应有().
A.P{θ12}=α
B.P{θ2}=1-α
C.P{θ12}=1-α
D.P{θ1}=α
答:————
28.[单选题] 在假设建设检验中,记H0为检验假设,则所谓犯第一类错误的是().
A.H0为真时,接受H0
B.H0不真时,接受H0
C.H0不真时,拒绝H0
D.H0为真时,拒绝H0
答:————
29.[单选题] 设A,B,C表示三个随机事件,则A<img id="ODeaojpTEMP20200721101751474.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODeaojpTEMP20200721101751474.png?Expires=1910657871&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=1acG8p4yf61/biBA1/Yi7Grc8bo%3D" />B<img id="ODfyydcTEMP20200721101751636.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODfyydcTEMP20200721101751636.png?Expires=1910657871&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=ljo9iTiRq3fk8mbPKtRZPUuPRS4%3D" />C表示
A.A,B,C中至少有一个发生
B.A,B,C都同时发生
C.A,B,C中至少有两个发生
D.A,B,C都不发生.
答:————
30.[单选题] 已知事件A,B相互独立,且P(A)=0.5,P(B)=0.8,则P(A<img id="ODhecgnTEMP20200721101751814.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODhecgnTEMP20200721101751814.png?Expires=1910657871&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=Fa4XdSv9Tt4aDdw6Uo/%2B%2BSAbHWg%3D" />B)=()
A.0.65
B.1.3
C.0.9
D.0.3
答:————
31.[单选题] 设X~B(n,p),则有()
A.E(2X-1)=2np
B.E(2X+1)=4np+1
C.D(2X+1)=4np(1-p)+1A
D.D(2X-1)=4np(1-p)
答:————
32.[单选题] X的概率函数表(分布律)是<br><table border="1" cellpadding="0" cellspacing="0"><tr><td>x</td><td>-</td><td>0</td><td>1</td></tr><tr><td>p</td><td>1/4</td><td>a</td><td>5/12</td></tr></table><br>则a=()
A.1/3;
B.0;
C.5/12;
D.1/4.
答:————
33.[单选题] 在n次独立重复的贝努利试验中,设P(A)=p,那么A事件恰好发生k次的概率为().
A.pk;
B.(<img id="ODsnwsiTEMP20200721101751988.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODsnwsiTEMP20200721101751988.png?Expires=1910657872&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=YMWcL9ZfScgFKtMJ1Iv%2BG5s0b0Q%3D" />)p<sup>k</sup>(1-p)<sup>n-k</sup>;
C.pn-k(1-p)k;
D.pk(1-p)n-k
答:————
34.[单选题] 设X的概率函数表是().<br><table border="1" cellpadding="0" cellspacing="0"><tr><td>x</td><td>-</td><td>0</td><td>1</td></tr><tr><td>p</td><td>1/4</td><td>1/4</td><td>1/2</td></tr></table>则它的数学期望E(X)和方差D(X)分别是
A.1/4,1/16;
B.1/2,3/4;
C.1/4,11/16;
D.1/2,11/16.
答:————
35.[单选题] 设随机变量X的密度函数,则常数A=().
A.1;
B.1/<img id="ODrufwqTEMP20200721101752160.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODrufwqTEMP20200721101752160.png?Expires=1910657872&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=tjgiTOpEs5zWVHRXSkTcepOMU18%3D" />;
C.1/2;
D.<img id="ODcojckTEMP20200721101752321.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODcojckTEMP20200721101752321.png?Expires=1910657872&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=c8mKy0lVbShQd142KSFOwUw6%2BVg%3D" />.
答:————
36.[单选题] 若T~t(n),下列等式中错误的是().
A.P{T>0}=P{T<img id="ODxktjyTEMP20200721101752490.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODxktjyTEMP20200721101752490.png?Expires=1910657872&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=JZM87ruQjJPCXr0nxrBPPwf5TfE%3D" />0};
B.P{T<img id="ODcjkzkTEMP20200721101752667.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODcjkzkTEMP20200721101752667.png?Expires=1910657872&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=KIJP4bzTXBmnsDRMiIUTBo/374Y%3D" />1}=P{T>1};
C.P{T=0}=0.5;
D.P{T>t<img id="ODglhmlTEMP20200721101752837.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODglhmlTEMP20200721101752837.png?Expires=1910657872&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=u84lP5lYXyx%2BrlTf%2BnuacZO6B5M%3D" />}=P{T<-t<img id="ODrjhllTEMP20200721101753015.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODrjhllTEMP20200721101753015.png?Expires=1910657873&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=rwAjaO85o1%2BRJVy59jXs1n%2B1Fd0%3D" />}.
答:————
37.[单选题] 设X~N(<img id="ODxddbvTEMP20200721101753176.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODxddbvTEMP20200721101753176.png?Expires=1910657873&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=6KF7NRulpty/mL2jZOc5/3U4vb0%3D" /><sub>1</sub>,<img id="ODmrqocTEMP20200721101753343.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODmrqocTEMP20200721101753343.png?Expires=1910657873&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=4OVY0B56VuWtoOnU1z1Kq1CcKFc%3D" /><sub>1</sub><sup>2</sup>),它有容量为n<sub>1</sub>的样本X<sub>i</sub>,i=1,2,…n<sub>1</sub>;Y~N(<img id="ODsaatkTEMP20200721101753498.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODsaatkTEMP20200721101753498.png?Expires=1910657873&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=pdN5iasfYnlNe9jTlYjesY05YNI%3D" /><sub>2</sub>,<img id="ODvsdxjTEMP20200721101753656.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODvsdxjTEMP20200721101753656.png?Expires=1910657873&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=f2Vud6o6VfXDYH2wlTR9W9DLp50%3D" /><sub>2</sub><sup>2</sup>),它有容量为n<sub>2</sub>的样本Y<sub>j</sub>,j=1,2,…n<sub>2</sub>.它们均相互独立,<img id="ODdwdygTEMP20200721101753812.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODdwdygTEMP20200721101753812.png?Expires=1910657873&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=HF9TmH93iUuwYDK0cQoG7JaMRmU%3D" />和<img id="ODladrxTEMP20200721101753956.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODladrxTEMP20200721101753956.png?Expires=1910657874&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=%2BFKl5aBYGJGIMvDKxhrvtIuxFB8%3D" />分别是它们样本平均值,s<sub>1</sub><sup>2</sup>和s<sub>2</sub><sup>2</sup>分别是它们样本方差,<img id="ODbakwsTEMP20200721101754139.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODbakwsTEMP20200721101754139.png?Expires=1910657874&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=An9dr5edJFQWmtW/rL7OWsTjXwM%3D" /><sub>1</sub><sup>2</sup>,<img id="ODkcniaTEMP20200721101754303.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODkcniaTEMP20200721101754303.png?Expires=1910657874&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=zB9RUt8Zmx3bd1QdB9tDlmsWriM%3D" /><sub>2</sub><sup>2</sup>未知但是相等.则统计量<img id="ODjbdmlTEMP20200721101754476.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODjbdmlTEMP20200721101754476.png?Expires=1910657874&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=I8baR6qh6XA6v9KAytpgI8BoOqs%3D" />应该服从的分布是().
A.t(n1+n2);
B.t(n1+n2-1);
C.t(n1+n2-2);
D.F(n1-1,n2-1).
答:————
38.[单选题] 设X~N(<img id="ODoaubuTEMP20200721101754636.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODoaubuTEMP20200721101754636.png?Expires=1910657874&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=c8UGSIRkyp4xLnySdwsUUqTFcdM%3D" /><sub>1</sub>,<img id="ODhvhucTEMP20200721101754796.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODhvhucTEMP20200721101754796.png?Expires=1910657874&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=pAvJ0f2HIaM3hDmC3aBvBsfxMEk%3D" /><sup>2</sup>),它有容量为n<sub>1</sub>的样本X<sub>i</sub>i=1,2,…n<sub>1</sub>;Y~N(<img id="ODkqsgxTEMP20200721101754949.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODkqsgxTEMP20200721101754949.png?Expires=1910657875&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=82JvPCWdmokReJZ5yGILzkI23so%3D" /><sub>2</sub>,<img id="ODabqheTEMP20200721101755142.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODabqheTEMP20200721101755142.png?Expires=1910657875&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=VdAY/1bL4BtlnueTfASHR/FdWV4%3D" /><sup>2</sup>),它有容量为n<sub>2</sub>的样本Y<sub>j</sub>j=1,2,…n<sub>2</sub>.均相互独立,s<sub>1</sub><sup>2</sup>和s<sub>2</sub><sup>2</sup>分别是它们样本方差.则统计量<img id="ODbzwalTEMP20200721101755297.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODbzwalTEMP20200721101755297.png?Expires=1910657875&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=Xb2hi5UQphlHuLWLAgezbbYEfLk%3D" />应该服从的分布是().
A.<img id="ODwpfdfTEMP20200721101755484.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODwpfdfTEMP20200721101755484.png?Expires=1910657875&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=XrijmyoyKG3TpQVg/Yg6kOBCAU8%3D" /><sup>2</sup>(n<sub>1</sub>+n<sub>2</sub>-2);
B.F(n2-1,n1-1);
C.t(n1+n2-2);
D.F(n1-1,n2-1).
答:————
39.[单选题] 若<img id="ODdunluTEMP20200721101755667.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODdunluTEMP20200721101755667.png?Expires=1910657875&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=YKXfJygXGnOSrC8cDjSrGnYSf3c%3D" /><sub>1</sub>和<img id="ODggdrsTEMP20200721101755827.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODggdrsTEMP20200721101755827.png?Expires=1910657875&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=vA6MsUhfIFGyA0Unq26HcdGeAAo%3D" /><sub>2</sub>同是总体平均数<img id="ODxveavTEMP20200721101755974.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODxveavTEMP20200721101755974.png?Expires=1910657876&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=qZYFQurWdnPh7IHkm477iQpf3n4%3D" />的无偏估计,则下面叙述中,不正确的是().
A.2<img id="ODkglawTEMP20200721101756124.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODkglawTEMP20200721101756124.png?Expires=1910657876&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=1ju/MngAJ0euxsQPc7O7wtbrBWQ%3D" /><sub>1</sub>-<img id="ODnkrmfTEMP20200721101756280.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODnkrmfTEMP20200721101756280.png?Expires=1910657876&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=7YCkeqRfxB1aDXSnJgp6QU5yEAM%3D" /><sub>2</sub>仍是总体平均数<img id="ODjcgogTEMP20200721101756424.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODjcgogTEMP20200721101756424.png?Expires=1910657876&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=zubRrewtWgtjw3ddMnq%2BHEmRcCc%3D" />的无偏估计;
B.<img id="ODazjfvTEMP20200721101756601.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODazjfvTEMP20200721101756601.png?Expires=1910657876&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=l4wggMO1Iy73EiRH5JSvtXWN9Gs%3D" /><img id="ODgqnmeTEMP20200721101756750.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODgqnmeTEMP20200721101756750.png?Expires=1910657876&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=U0FhYzJFNLSDEHB/upEcnT3Kh9U%3D" /><sub>1</sub>-<img id="ODweoznTEMP20200721101756913.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODweoznTEMP20200721101756913.png?Expires=1910657877&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=lLOorEJCTnn3IA2RE%2B/jsG6HrVM%3D" /><img id="ODkyeovTEMP20200721101757087.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODkyeovTEMP20200721101757087.png?Expires=1910657877&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=DAusRTDEcSeIz143W/JbcUPJbdE%3D" /><sub>2</sub>仍是总体平均数<img id="ODdrkwvTEMP20200721101757254.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODdrkwvTEMP20200721101757254.png?Expires=1910657877&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=HmGp0B0C%2Bolts1Cerw9kcwX70ww%3D" />的无偏估计;
C.<img id="ODwdzbzTEMP20200721101757424.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODwdzbzTEMP20200721101757424.png?Expires=1910657877&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=dNY%2BcBg2BCwv94MDiet73fgDEgA%3D" /><img id="ODnrtflTEMP20200721101757572.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODnrtflTEMP20200721101757572.png?Expires=1910657877&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=Nj0KCULQfIWKpPkrp3R0ommi6mQ%3D" /><sub>1</sub>+<img id="ODefcxtTEMP20200721101757717.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODefcxtTEMP20200721101757717.png?Expires=1910657877&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=JjYkbHIi0FHA4fTjcAHSRs75IvE%3D" /><img id="ODmofmqTEMP20200721101757852.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODmofmqTEMP20200721101757852.png?Expires=1910657877&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=jCyADUjoy1G9Au355h5Hb6Pa3Eg%3D" /><sub>2</sub>仍是总体平均数<img id="ODzzalnTEMP20200721101757992.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODzzalnTEMP20200721101757992.png?Expires=1910657878&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=WT6RwznFnD7XkSII1%2Bj%2BXjVtmwY%3D" />的无偏估计
D.<img id="ODbbppaTEMP20200721101758147.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODbbppaTEMP20200721101758147.png?Expires=1910657878&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=iAV7yawQwVe8HnO8coFQrSzZKvo%3D" /><img id="ODipfaqTEMP20200721101758320.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODipfaqTEMP20200721101758320.png?Expires=1910657878&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=KQbcHEidm8oxKYw1KnLry5PfeWo%3D" /><sub>1</sub>+<img id="ODkzmbiTEMP20200721101758478.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODkzmbiTEMP20200721101758478.png?Expires=1910657878&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=Wcx/v1YMnOOiedywIFI4tGC/UXA%3D" /><img id="ODhxwsrTEMP20200721101758642.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODhxwsrTEMP20200721101758642.png?Expires=1910657878&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=mhUiJJ%2BNW2xg71CcSAJuDmV%2BJR0%3D" /><sub>2</sub>仍是总体平均数<img id="ODgfiwoTEMP20200721101758798.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODgfiwoTEMP20200721101758798.png?Expires=1910657878&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=NnfE/yRbBYtX2aImIo5RYS1cTns%3D" />的无偏估计.
答:————
40.[单选题] 假设检验时,当样本容量n固定时,缩小犯第Ⅰ类错误的概率<img id="ODwmvmpTEMP20200721101758945.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODwmvmpTEMP20200721101758945.png?Expires=1910657879&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=fyeUXJCE70oYJgJAQEaL25xg1KE%3D" />,则犯第Ⅱ类错误的概率<img id="ODcpzyrTEMP20200721101759108.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODcpzyrTEMP20200721101759108.png?Expires=1910657879&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=v9ltyXJ4lm5lDWTgqX1zqTj7tOA%3D" />().
A.一般要变小;
B.一般要变大;
C.可能变大也可能变小;
D.肯定不变.
答:————
41.[单选题] 设X~N(<img id="ODbbptrTEMP20200721101759245.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODbbptrTEMP20200721101759245.png?Expires=1910657879&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=26PNk740sj%2BrnTkb42sDpjw261w%3D" />,<img id="ODjxeoiTEMP20200721101759411.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODjxeoiTEMP20200721101759411.png?Expires=1910657879&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=qjQe2QKdZu0sfUZhaK6wsOeekgA%3D" /><sup>2</sup>),<img id="ODagpksTEMP20200721101759562.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODagpksTEMP20200721101759562.png?Expires=1910657879&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=2hJrOezo/1ye9seQBNjGjXEvt1Q%3D" />和<img id="ODimmwoTEMP20200721101759719.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODimmwoTEMP20200721101759719.png?Expires=1910657879&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=YEl%2B3D2iCxu1IO24LSYOkginbgc%3D" /><sup>2</sup>均未知,<img id="ODmrsmeTEMP20200721101759865.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODmrsmeTEMP20200721101759865.png?Expires=1910657879&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=CrIh5AiVDrch7wyrqYoD4MdPUuQ%3D" />是样本平均值,s<sup>2</sup>是样本方差,则(<img id="ODuwdqlTEMP20200721101800012.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODuwdqlTEMP20200721101800012.png?Expires=1910657880&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=6V6WluFb15NyT63kOxe2dR4Dcuk%3D" />-t<sub>0.05</sub><img id="ODwlwriTEMP20200721101800179.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODwlwriTEMP20200721101800179.png?Expires=1910657880&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=n21HVvFIHI8VEWw7CpAhla8lbrU%3D" />,<img id="ODzxnjhTEMP20200721101800662.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODzxnjhTEMP20200721101800662.png?Expires=1910657880&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=AmpSNdC%2BmmVSrnHi9rQiNsa%2BJxc%3D" />+t<sub>0.05</sub><img id="ODchgqaTEMP20200721101800824.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODchgqaTEMP20200721101800824.png?Expires=1910657880&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=aPQGsYe/4fMetUqL0KA%2BVPZ35Uw%3D" />)作为的置信区间时,其置信水平为().
A.0.1;
B.0.2;
C.0.9;
D.0.8.
答:————
42.[单选题] 已知一元线性回归直线方程为<img id="ODcxomzTEMP20200721101801050.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODcxomzTEMP20200721101801050.png?Expires=1910657881&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=QMjqxgsBZuQP3WeStyP3BWI11sc%3D" />=<img id="ODxrkvkTEMP20200721101801196.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODxrkvkTEMP20200721101801196.png?Expires=1910657881&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=lUiH7C5O3h%2B/h/fPSJCbAa5fb3I%3D" />+4x,且<img id="ODtzmxqTEMP20200721101801356.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODtzmxqTEMP20200721101801356.png?Expires=1910657881&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=L4qbcEdHkrnjuke%2B%2BGe%2B%2BoDNRo0%3D" />=3,<img id="ODrowxaTEMP20200721101801536.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODrowxaTEMP20200721101801536.png?Expires=1910657881&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=WilOl7dQr4VU7BthwPX%2BKavnmEE%3D" />=6.则<img id="ODxjfaxTEMP20200721101801687.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODxjfaxTEMP20200721101801687.png?Expires=1910657881&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=3sqrkidCYpD%2BK9t1LPRJ2y92jCk%3D" />=().
A.0;
B.6;
C.2;
D.-6.
答:————
43.[单选题] 设(x<sub>1</sub>,y<sub>1</sub>),(x<sub>2</sub>,y<sub>2</sub>),...(x<sub>n</sub>,y<sub>n</sub>)是对总体(X,Y)的n次观测值,<img id="ODkuhxrTEMP20200721101801835.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODkuhxrTEMP20200721101801835.png?Expires=1910657881&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=3oCygk0Zlr1xzZPsC1f%2BsYj6Ux0%3D" /><sub>YY</sub>=<img id="ODyombtTEMP20200721101801995.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODyombtTEMP20200721101801995.png?Expires=1910657882&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=Tgvc2O%2BLlOaDBDYD3XokScc/ksU%3D" />,<img id="ODpxdxvTEMP20200721101802151.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODpxdxvTEMP20200721101802151.png?Expires=1910657882&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=6GU1kp%2Be1CdPRCDdN9MPe%2BJIFhs%3D" /><sub>XX</sub>=<img id="ODokjjmTEMP20200721101802323.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODokjjmTEMP20200721101802323.png?Expires=1910657882&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=T7P5f4lPUXN%2B/TWaUIwyEpKprYg%3D" />分别是关于Y,关于X的校正平方和及<img id="ODymypmTEMP20200721101802497.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODymypmTEMP20200721101802497.png?Expires=1910657882&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=i%2BfrRuEfO6HqhVFTbnm27PbiJ4k%3D" /><sub>XY</sub>=<img id="ODkmmzaTEMP20200721101802651.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODkmmzaTEMP20200721101802651.png?Expires=1910657882&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=cYj3bbNifVASSpAinW2Jbat8KIg%3D" />是关于X和Y的校正交叉乘积和,则它们的一元回归直线的回归系数<img id="ODwabdyTEMP20200721101802817.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODwabdyTEMP20200721101802817.png?Expires=1910657882&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=Fsa/vEohIwy0p5U%2BBs/oBImqrI0%3D" />=().
A.<img id="ODbdoruTEMP20200721101803001.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODbdoruTEMP20200721101803001.png?Expires=1910657883&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=cVJxRaB5RaloGqp9guGxc9BG9JA%3D" />;
B.<img id="ODdrqpkTEMP20200721101803150.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODdrqpkTEMP20200721101803150.png?Expires=1910657883&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=GKzORgseXLPFvQamNVkmSNJ/dNE%3D" />;
C.<img id="ODzkwwvTEMP20200721101803311.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODzkwwvTEMP20200721101803311.png?Expires=1910657883&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=bunAK35aK4ImyF202SNlXmTqZHU%3D" />;
D.<img id="ODdwiroTEMP20200721101803460.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODdwiroTEMP20200721101803460.png?Expires=1910657883&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=EefUvXIUxVL68i3VGmHKBlbk8Ts%3D" />.
答:————
44.[单选题] 设A,B为两个事件,则<img id="ODdtjazTEMP20200721101803617.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODdtjazTEMP20200721101803617.png?Expires=1910657883&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=ElhLbQQ%2BH4nenyIQuTBgmg2Ma8s%3D" />=().
A.<img id="ODsadytTEMP20200721101803768.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODsadytTEMP20200721101803768.png?Expires=1910657883&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=kiSRVQbCCYCoX9osflwU1JbYkjc%3D" /><img id="ODwuyvmTEMP20200721101803912.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODwuyvmTEMP20200721101803912.png?Expires=1910657884&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=E2Y%2B7%2BbZNL42D7p4VU0CyEwGKtY%3D" />;
B.<img id="ODkuvmtTEMP20200721101804072.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODkuvmtTEMP20200721101804072.png?Expires=1910657884&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=Yo1dWu3g4mhV0Eln9HxzeFRxXCM%3D" />B;
C.A<img id="ODndlicTEMP20200721101804224.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODndlicTEMP20200721101804224.png?Expires=1910657884&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=1i4L7KkeHTMqu8lPbD3iXaaJ%2BOg%3D" />;
D.<img id="ODrmdwoTEMP20200721101804391.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODrmdwoTEMP20200721101804391.png?Expires=1910657884&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=E71TAuFcUKdsPK4t9uwmsGoEq9g%3D" /><img id="ODxewgkTEMP20200721101804534.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODxewgkTEMP20200721101804534.png?Expires=1910657884&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=7DIHi3dApyU3xL7ZIdjpdY4UIEs%3D" /><img id="ODmaeddTEMP20200721101804687.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODmaeddTEMP20200721101804687.png?Expires=1910657884&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=WNK7FSrd8vl51CWlMTEGrQSPC5o%3D" />.
答:————
45.[单选题] 若X~N(0,1),<img id="ODgfyczTEMP20200721101804838.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODgfyczTEMP20200721101804838.png?Expires=1910657884&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=DcwizhXIEdTz6pP20Hoo0gT2Mdw%3D" />(x)是它的密度函数,<img id="ODhodjlTEMP20200721101805000.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODhodjlTEMP20200721101805000.png?Expires=1910657885&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=p9rGAf85PrNR%2BXQPRPRHgjrlA2M%3D" />(x)是它的分布函数,则下面叙述中不正确的是().
A.<img id="ODnjygiTEMP20200721101805172.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODnjygiTEMP20200721101805172.png?Expires=1910657885&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=HuvlsYJ/f3WvtwvryKZgf38V0GM%3D" />(-x)=-<img id="ODwcmkhTEMP20200721101805327.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODwcmkhTEMP20200721101805327.png?Expires=1910657885&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=QyU3B/zOU/IqaR3wJsoEhNFxuGg%3D" />(x);
B.<img id="ODrnowwTEMP20200721101805504.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODrnowwTEMP20200721101805504.png?Expires=1910657885&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=bYq/PDIawceDHhQMR8zSSz1tM9o%3D" />(x)关于纵轴对称;
C.<img id="ODmxuftTEMP20200721101805675.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODmxuftTEMP20200721101805675.png?Expires=1910657885&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=G2mvrKkMmMwSTj%2BPT5JT0TI0IRg%3D" />(0)=0.5;
D.<img id="ODxqgznTEMP20200721101805848.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODxqgznTEMP20200721101805848.png?Expires=1910657885&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=GoLQ6kCV9RTvesjD8oMDwOl1ZR4%3D" />(-x)=1-<img id="ODvntofTEMP20200721101806008.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODvntofTEMP20200721101806008.png?Expires=1910657886&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=ZkndHggS%2BPea%2BJ4cOqXiCBJPjAo%3D" />(x).
答:————
46.[单选题] 对单个总体X~N(<img id="ODpjcxgTEMP20200721101806177.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODpjcxgTEMP20200721101806177.png?Expires=1910657886&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=mgf/r5ViBWHHNadU05kjUixje8c%3D" />,<img id="ODzoxlsTEMP20200721101806366.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODzoxlsTEMP20200721101806366.png?Expires=1910657886&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=Ms5TZdXtJ%2BNov1xYieYKz8RPKl4%3D" /><sup>2</sup>)假设检验,<img id="ODiudlnTEMP20200721101806586.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODiudlnTEMP20200721101806586.png?Expires=1910657886&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=BUQSeO6LO6TtikP%2BQ5oscXUnVKY%3D" /><sup>2</sup>未知,H<sub>0</sub>:<img id="ODgefygTEMP20200721101806736.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODgefygTEMP20200721101806736.png?Expires=1910657886&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=P/k7Pau4EzQnj0pDoRPpernj7gA%3D" /><img id="ODiyddgTEMP20200721101806905.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODiyddgTEMP20200721101806905.png?Expires=1910657887&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=KggKrHnHovnbgLJKiIhC1vuMTwI%3D" /><img id="ODnrcvvTEMP20200721101807051.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODnrcvvTEMP20200721101807051.png?Expires=1910657887&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=TjD%2BAVzcDpv9LA4Oqib78bo22gE%3D" /><sub>0</sub>.在显著水平<img id="ODoacjnTEMP20200721101807195.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODoacjnTEMP20200721101807195.png?Expires=1910657887&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=N5/uWsbNk4%2Bpd0KNKZpztEJ%2Bu08%3D" />下,应该选().
A.t检验;
B.F检验;
C.<img id="ODukmhfTEMP20200721101807348.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODukmhfTEMP20200721101807348.png?Expires=1910657887&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=u8McPVyQD1JTyw5xzdni3yF4ikU%3D" /><sup>2</sup>检验;
D.u检验.
答:————
47.[单选题] 甲乙两人各自同时向敌机射击,已知甲击中敌机的概率为0.8,乙击中敌机的概率为0.5,则恰有一人击中敌机的概率().
A.0.8
B.0.5
C.0.4
D.0.6
答:————
48.[单选题] 设X~N(μ,0.32),容量n=9,均值<img id="ODfnzztTEMP20200721101807509.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODfnzztTEMP20200721101807509.png?Expires=1910657887&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=UyuhW9CYuaBqLVpi9WgIxWHAYPQ%3D" />,则未知参数μ的置信度为0.95的置信区间是.(查表Z<sub>0.025</sub>=1.96)
A.(4.808,6.96)
B.(3.04,5.19)
C.(4.808,5.19)
D.(3.04,6.96)
答:————
49.<Fillup> 设X<sub>1</sub>,X<sub>2</sub>,…,X<sub>16</sub>是来自总体的简单随机样本,<img id="ODursjhTEMP20200721101807652.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODursjhTEMP20200721101807652.png?Expires=1910657887&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=ro%2B%2BDqBSdDUwb8icFytJ0iLH4Bk%3D" />已知,令<img id="ODusghgTEMP20200721101807836.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODusghgTEMP20200721101807836.png?Expires=1910657887&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=WYMOWG4cg0GcTFOCd95O6NT9yow%3D" />则统计量<img id="ODjyiauTEMP20200721101808017.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODjyiauTEMP20200721101808017.png?Expires=1910657888&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=sQaeH4tyDifz1tSDf/6NotBzjio%3D" />服从分布##(必须写出分布的参数).
答:————
50.<Fillup> 设<img id="ODzfjseTEMP20200721101808204.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODzfjseTEMP20200721101808204.png?Expires=1910657888&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=0OxpnlyjIMv7ec94QJDASNTiICk%3D" />,而1.70,1.75,1.70,1.65,1.75是从总体X中抽取的样本,则μ的矩估计值为##.
答:————
51.<Fillup> 设X~U,X1,…,Xn是从总体X中抽取的样本,求a的矩估计为##. 奥鹏东财答案点击 ap5u.com q1647861640
答:————
52.<Fillup> 已知F0.1(8,20)=2,则F0.9(20,8)=##.
答:————
53.<Fillup> 设某个假设检验问题的拒绝域为W,且当原假设H0成立时,样本值(x1,x2,…,xn)落入W的概率为0.15,则犯第一类错误的概率为##
答:————
54.<Fillup> 设样本的频数分布为<br><table border="1" cellpadding="0" cellspacing="0"><tr><td>X</td><td>0</td><td>1</td><td>2</td><td>3</td><td>4</td></tr><tr><td>频数</td><td>1</td><td>3</td><td>2</td><td>1</td><td>2</td></tr></table>则样本方差s<sup>2</sup>=##
答:————
55.<Fillup> 设X1,X2,?,Xn为来自正态总体N(μ,σ2)的一个简单随机样本,其中参数μ和σ2均未知,记,<img id="ODrcettTEMP20200721101808736.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODrcettTEMP20200721101808736.png?Expires=1910657888&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=d1dFTXhYzIjQzrfv5oxKVCWwSgo%3D" />,则假设H<sub>0</sub>:μ=0?的t检验使用的统计量是##.(用<img id="ODamhogTEMP20200721101808925.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODamhogTEMP20200721101808925.png?Expires=1910657889&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=wpJJk43AkyUsz171i%2BAGD6aRIwU%3D" />和Q表示)
答:————
56.<Fillup> 设总体X~N(μ,σ2),X<sub>1</sub>,X<sub>2</sub>,…,X<sub>n</sub>为来自总体X的样本,则样本均值<img id="ODcifbxTEMP20200721101809259.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODcifbxTEMP20200721101809259.png?Expires=1910657889&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=FvloKehpLvIEItYLuWSB28yDS6Q%3D" />=##
答:————
57.<Fillup> 设总体X~b,(np),01,X2,?…,Xn为其样本,则n的矩估计是##.
答:————
58.<Fillup> 设总体X~?,(X1,X2,…,Xn)是来自X的样本,则θ的最大似然估计量是##
答:————
59.<Fillup> 测得自动车床加工的10个零件的尺寸与规定尺寸的偏差(微米)如下:+2,+1,-2,+3,+2,+4,-2,+5,+3,+4.则零件尺寸偏差的数学期望的无偏估计量##
答:————
60.<Fillup> 设X1,X2,X3,X4是来自正态总体N(0,2)2的样本,令Y=(X1+X2)2+(X3-X4)2,则当C=##时CY~x2(2).
答:————
61.<Fillup> 设容量n=10的样本的观察值为(8,7,6,9,8,7,5,9,6),则样本均值样本方差##.
答:————
62.<Fillup> 设A.B为随机事件,P(A)=0.5,P(B)=0.6,P(B|A)=0.8则P(B|A)=##
答:————
63.<Fillup> 若事件A和事件B相互独立,P(A)=α?,P(B)=0.3,,则α=##
答:————
64.<Fillup> 设X~N(2,σ2),且P{2<x<4}=0.3,则P{x<0}=##
答:————
65.<Fillup> 一射手对同一目标独立地进行四次射击,若至少命中一次的概率为80/81,则该射手的命中率为##
答:————
66.<Fillup> 三个人独立地解答一道难题,他们能单独正确解答的概率分别为1/5.1/3.1/4,则此难题被正确解答的概率为##
答:————
67.<Fillup> 设有一箱产品由三家工厂生产的其中1/2是第一加工厂生产的,其余两家工厂各生产1/4,又知第一.第二工厂生产的产品有2%的次品,第三工厂生产的产品有4%的次品,现从箱中任取一只,则取到的次品的概率为##
答:————
68.<Fillup> 一个盒子中有10个球,其中有3个红球,2个黑球,5个白球,从中取球两次,每次取一个(有放回)则:第二次取到黑球的概率为##
答:————
69.<Fillup> 由长期统计资料得知,某一地区在4月下雨(记事件A)的概率为4/15,刮风(记作事件B)概率为7/15,刮风又下雨(记作事件C)概率为1/10则:p(B|A)=##
答:————
70.<Fillup> 一盒子中黑球.红球.白球各占50%,30%,20%,从中任取一球,结果不是红球,则取到的是白球的概率为##
答:————
71.<Fillup> 某公共汽车站甲.乙丙动人分别独立地等1.2.3路汽车,设每个人等车时间(单位分钟)均服从上的均匀分布,则三人中至少有两个人等车时间不超过2分钟的概率为##
答:————
72.<Fillup> 若随机变量X~(2,σ2)且p{2<X<4}=0.3,则p{X<2}=##
答:————
73.<Fillup> 若随机变量X~N(-1,1),Y~N(3,1)且X和Y相互独立,设随机变量Z=X-2Y+7,则Z~##.
答:————
74.<Fillup> 设随机变量X~N(1,22),则EX2=##
答:————
75.<ShortAnswer> 已知100个产品中有5个次品,现从中有放回地取3次,每次任取1个,求在所取的3个中恰有2个次品的概率.
答:————
76.<ShortAnswer> 某人进行射击,设每次射击的命中率为0.02,独立射击400次,试求至少击中两次的概率.
答:————
77.<ShortAnswer> 已知100个产品中有5个次品,现从中无放回地取3次,每次任取1个,求在所取的3个中恰有2个次品的概率.
答:————
78.<ShortAnswer> 某一城市每天发生火灾的次数X服从参数<img id="ODqbwbiTEMP20200721101811536.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODqbwbiTEMP20200721101811536.png?Expires=1910657891&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=9D1SGZcO1T/%2BPDu925nNqR3jCSs%3D" />的泊松分布,求该城市一天内发生3次或3次以上火灾的概率.
答:————
79.<ShortAnswer> 某公共汽车站从上午7时起,每15分钟来一班车,即7:00,7:15,7:30,7:45等时刻有汽车到达此站,如果乘客到达此站时间X是7:00到7:30之间的均匀随机变量,试求他候车时间少于5分钟的概率.
答:————
80.<ShortAnswer> 某元件的寿命X服从指数分布,已知其平均寿命为1000小时,求3个这样的元件使用1000小时,至少已有一个损坏的概率.
答:————
81.<ShortAnswer> 设某项竞赛成绩<img id="ODfsrrtTEMP20200721101814542.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODfsrrtTEMP20200721101814542.png?Expires=1910657894&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=pUi5U6HZXuxvxTgVaP0X9AYuCr4%3D" />(65,100),若按参赛人数的10%发奖,问获奖分数线应定为多少?
答:————
82.<ShortAnswer> 设随机变量<img id="ODswvxfTEMP20200721101816058.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODswvxfTEMP20200721101816058.png?Expires=1910657896&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=ROn//Ra/CJyGBwBfqTGUbS6G2yM%3D" />具有以下的分布律,试求<img id="ODgrcjoTEMP20200721101816213.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODgrcjoTEMP20200721101816213.png?Expires=1910657896&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=x2H5GCLt752Qp1kRuUMzgaJcRVs%3D" />的分布律.<br><img id="ODuqaasTEMP20200721101816401.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODuqaasTEMP20200721101816401.png?Expires=1910657896&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=uIziiZ8FsDdBgG/B/gYYnaxzqFU%3D" />
答:————
83.<ShortAnswer> 已知随机变量X的分布函数<img id="ODweshcTEMP20200721101816870.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODweshcTEMP20200721101816870.png?Expires=1910657897&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=CRCpYl7ItGPJZoYIIyIOkKHkM6A%3D" />,求<img id="ODtyushTEMP20200721101817042.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODtyushTEMP20200721101817042.png?Expires=1910657897&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=%2Bwm1ABWE/UoC6tJwHV%2BhndFxiaw%3D" />
答:————
84.<ShortAnswer> 设<img id="ODeemumTEMP20200721101817776.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODeemumTEMP20200721101817776.png?Expires=1910657897&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=cJjg5b1A7hltGg5NJvATtFySLlc%3D" />,求标准正态分布的水平0.05的上侧分位数和双侧分位数.
答:————
85.<ShortAnswer> 设<img id="ODdbqfnTEMP20200721101818917.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODdbqfnTEMP20200721101818917.png?Expires=1910657899&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=7maeN97slUOYw6b2nVVfE0sAmZA%3D" /><img id="ODbulgjTEMP20200721101819071.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODbulgjTEMP20200721101819071.png?Expires=1910657899&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=TpNxyeXnw59udpSO1DVP6EDl9%2BM%3D" />为X的一个样本,求:(1)样本均值<img id="ODqrzguTEMP20200721101819211.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODqrzguTEMP20200721101819211.png?Expires=1910657899&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=5txYRTDwrj5Qw4pxa47eWXlmYOg%3D" />的数学期望与方差;(2)<img id="ODrwfhoTEMP20200721101819436.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODrwfhoTEMP20200721101819436.png?Expires=1910657899&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=1z/IvsVMOZbh7WUSuAmKTI04CPA%3D" />
答:————
86.<ShortAnswer> <img id="ODbskgwTEMP20200721101821513.png" src="http://aseancdn.open.com.cn/zyglpt/OD/TEMP/2020/0721/ODbskgwTEMP20200721101821513.png?Expires=1910657901&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=gAIahEbC5j7rKsvtVaQDcXgxkPA%3D" />,则求常数A.期望EX及方差DX.
答:————
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