西南大学网院17秋[9100]概率论与统计初步在线作业及答案

9100
1、对正态总体的均值西南大学网院作业答案请咨询微信或QQ515224986

    C.前三个选项都不正确
    可能接受原假设也可能拒绝原假设
    必拒绝原假设
    必接受原假设
参考答案：可能接受原假设也可能拒绝原假设；
2、X为连续型随机变量，a为一常数，则P(X=a)的值()。
    必为零
    不一定为零
    可能不为零
    必不为零
参考答案：必为零；
3、描述连续型随机变量概率分布情况的是（）。
    分布列
    分布表
    密度函数
    相关系数
参考答案：密度函数；
4、甲、乙两人射击，甲击中的概率为0.8，乙击中的概率为0.7，两人同时射击，并假定中靶与否是独立的。则两人都中靶的概率为（）。
    0.06
    0.14
    0.24
    0.56
5、事件A与B独立，则（）.
    P(AB)=P(A)P(B)
    P(A∪B)=1
    P(AB)=0
    P(A|B)=P(A)
6、向目标独立地射击10次,每次射击中靶的概率为0.7,用随机变量X表示命中的次数,则X服从()分布.
    二项
    几何
    均匀
    超几何
7、设A与B为两个随机事件，且P（A）=0.3，P（B）=0.5，若A与B互不相容，则P（A∪B）=().
    0.8
    0.65
    0.2
    0.15
8、设A、B为二事件，若P(AB)=0,则（）。
    与B互不相容
    A与B独立
    P(A)=0或P(B)=0
    P(A-B)=P(A)
9、设随机变量为X与Y，已知DX=25,DY=36,相关系数ρ=0.4,则D(X-Y)=().
    85
    61
    11
    37
10、一部四卷的文集随意摆放到书架上，则恰好各卷自左向右或自右向左的卷号为1，2，3，4的概率为（）。
    D.1/24
    E.1/12
    F.1/6
    1/3
11、将一颗骰子抛掷4次，则“出现的4个数字全同”的概率为<imgwidth="23"height="41"src="data:image/png;base64,R0lGODlhFwApAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAMABAARACIAhAAAAAAAAAgDAAADCAsLDQ0LCgQAAA0LCwsGAwoEAAAAAwgKDQ0KCAMAAAMGCw0KCwQDCAgIDQAABAoLDQAECggDBAoGCAQIDQMGCA0IBAMDCAMAAwECAwECAwECAwECAwV+ICCOhzAQY6oWRnCq8Ii8MTyjtXrnOs2Lux/Q9wsKE8QaKxBQLITQqHRKrY6Y2KwWa+2qGI2AA/ogFCA4ISNSQwQkE1EiQIGx4KpDJT5i1WMWaQAJeClzARcpLBgthTUZARoTJY4wGYWQiY+FLJoxnSIMG085CHgJfzyHqTEhADs="/>.
    A.√
    B.×
12、已知<imgwidth="72"height="21"src="data:image/png;base64,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"/>则<imgwidth="116"height="21"src="data:image/png;base64,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"/>=0
    A.√
    B.×
13、已知电子管的寿命X(小时)服从参数<imgwidth="64"height="41"src="data:image/png;base64,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"/>的指数分布，则这电子管使用在1000小时以上的概率为<imgwidth="15"height="41"src="data:image/png;base64,R0lGODlhDwApAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAMABAAJACIAhAAAAAAAAAgDAAADCAsLDQ0LCgQAAA0LCwsGAwoEAAAAAwgKDQMGCwAECg0IBAAABAoLDQ0KCAMAAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwVKIAAcwkCIYmEEJooirQvAp0zLc+zetv76ooRPFQgoFrikcslsyorQqHNKrVqppCIDpdreSI3gFuA4qsIiRPEBcTnYgIgEORIUYyEAOw=="/>.
    A.√
    B.×
14、已知<imgwidth="72"height="21"src="data:image/png;base64,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"/>则<imgwidth="115"height="21"src="data:image/png;base64,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"/>=0
    A.√
    B.×
15、假设X，Y为二随机变量，且D（X＋Y）＝7，D（X）＝4，D（Y）＝1，则Cov(X,Y)=1
    A.√
    B.×
16、X～N(5,4),则P(3&lt;X&lt;7)=0.6826.
    A.√
    B.×
17、X为连续型随机变量，F(x)为其分布函数，则P(a&lt;X&lt;b)=F(b)-F(a)。
    A.√
    B.×
18、
    A.√
    B.×
19、设两个相互独立的随机变量X，Y的方差分别是4和2，则<imgwidth="83"height="21"src="data:image/png;base64,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"/>=44
    A.√
    B.×
20、加工一产品要经过三道工序，第一、二、三道工序出废品的概率分别为0.10，0.05，0.20，若假定各工序是否出废品为独立的，则经过三道工序而不出废品的概率为0.999.
    A.√
    B.×
21、X～U(1,5),则P(0&lt;X&lt;2)=1/4.
    A.√
    B.×
22、假设检验的结论一定是正确的。
    A.√
    B.×
23、X服从参数为4的泊松分布P(4)，则EX=4.
    A.√
    B.×
24、X～N(3,4),则P(X&lt;3)=P(x&gt;3).<!--3)=--><!--3)=--><!--3)=-->
    A.√
    B.×
25、F(x)为随机变量X的分布函数，则当a&lt;b时，有F(a)≤F(b).
    A.√
    B.×
26、设A、B为两个事件，P(A∪B)=1
    A.√
    B.×
27、连续型随机变量均有方差存在。
    A.√
    B.×
28、随机变量X的方差DX也称为X的二阶原点矩。
    A.√
    B.×
29、从1，2，3，4，5，6这六个数中随机的、有放回的连续抽取4个，则“取到的4个数字完全不同”的概率为5/18.
    A.√
    B.×
30、随机变量X、Y独立，则X与Y必不相关。
    A.√
    B.×
31、随机变量X的取值为有限或可列无穷多，则X必为离散型随机变量。
    A.√
    B.×
32、设有编号为1,…,30的准考证，一学生任意抽一张考试，则该生“抽到前10号准考证”的概率为1/3.
    A.√
    B.×
33、随机变量X的取值为不可列无穷多，则X必为连续型随机变量.
    A.√
    B.×
34、设事件为A、B，已知P(AB)=0，则A与B互不相容.
    A.√
    B.×
35、设事件为A、B，已知P(AB)=0，则A与B必相互独立.
    A.√
    B.×
36、A.B为任意二随机事件，则P(A∪B)=P(A)+P(B).
    A.√
    B.×
37、“ABC”表示三事件A、B、C至少有一个发生.
    A.√
    B.×
38、设X1，X2，X3为来自总体X的容量为3的样本，则<imgwidth="157"height="41"src="data:image/png;base64,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"/>是总体期望<imgwidth="16"height="17"src="data:image/png;base64,R0lGODlhEAARAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIAAgAMAAsAhAAAAAAAAAMAAwgKDQsGAwADCAsLDQ0LCwgDAAMGCwMAAA0IBA0KCAsLCgQECgsGBAMDAAAECgAABAoLDQ0LCgQDCAQIDQECAwECAwECAwECAwECAwECAwECAwECAwECAwU3ICACjDCIRGGMQLoeSMLCMmmy5dmqrAvQs5goh1PIFoFCwzF6QAKBCCEgmYgolRWrF9kGLd5RCAA7"/>的无偏估计。
    A.√
    B.×
39、随机变量X服从参数为1的泊松分布，求：<imgwidth="108"height="24"src="data:image/png;base64,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"/>=3
    A.√
    B.×
40、编有号码1，…，10的十个纪念章装于袋中，现从中任取三个，则取到的三个纪念章号码大小在中间是5的概率为<imgwidth="16"height="41"src="data:image/png;base64,R0lGODlhEAApAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAMABAAJACIAhAAAAAAAAAgDAAADCAsLDQ0LCgQAAA0LCwsGAwoEAAAAAwgKDQAABAoLDQAECgMGCA0IBAMDCAQIDQ0KCAMAAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwVWIAAcwkCIYmEEJooirQvAp0zLc+zetv76ooRPFQgoFrikcslsyorQqHNKbSICjAZKlXWpHLhE12t4rMaQQKRB6kLQAQngrQWo5HfRhIKcdRNgKAlFgSEAOw=="/>.
    A.√
    B.×
41、随机地从一批电池中抽取15只，测得失效时间（小时）为115、119、131、138、142、147、148、155、158、159、163、166、167、170、172，可算得其样本均值为160（小时），样本标准差为20（小时）。
    A.√
    B.×
42、随机变量X服从参数为1的泊松分布，<imgwidth="73"height="21"src="data:image/png;base64,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"/>=1
    A.√
    B.×
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