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1、第 1 页(共 4 页)绝密启用前黑龙江外国语学院继续教育学院2014 年 秋 季学期概率论与数理统计试卷（A 卷）题号一二三四五六总分评卷人审核人得分一、选择题（本大题共 5 小题，每空 2 分，共 30 分）1、A、B 是两个随机事件，已知0.3)B(p,5.0)(,4.0)A(pABP，则)BA(p ,)B-A(p，)(BAP=,)BA(p。2、一个袋子中有大小相同的红球6 只、黑球 4 只。（1）从中不放回地任取2 只，则第一次、第二次取红色球的概率为：。（2）若有放回地任取2 只，则第一次、第二次取红色球的概率为：。（3）若第一次取一只球观查球颜色后，追加一只与其颜色相同的球一并放入
2、袋中后，再取第二只，则第一次、第二次取红色球的概率为：。3、设随机变量X服从 B（2，0.5）的二项分布，则1Xp ,Y 服从二项分布B(98,0.5),X与 Y相互独立,则 X+Y服从，E(X+Y)=，方差 D(X+Y)=。4、甲、乙两个工厂生产同一种零件，设甲厂、乙厂的次品率分别为0.1、0.15 现从由甲厂、乙厂的产品分别占60%、40%的一批产品中随机抽取一件。（1）抽到次品的概率为：。（2）若发现该件是次品，则该次品为甲厂生产的概率为：5、设 二 维 随 机 向 量),(YX的 分 布 律 如 右，则a,)(XE。2YXZ的分布律为:本题得分XY0 1 -1 1 0.2 0.3 0.
3、4 az 1 2 概率0.6 0.4 第 2 页(共 4 页)二、（本大题共 1 小题，10 分）已知随机变量X的密度函数其它,010,)(2xaxxf求：（1）常数a，（2）)5.15.0(Xp（3）X的分布函数F（x）。三、（本大题共 1 小题，10 分）设随机变量（X，Y）的联合概率密度为：其它,010,10,2),(yxyyxf求：（1）X，Y的边缘密度，（2）讨论 X与 Y的独立性。四、（本大题共 1 小题，10 分）设总体 XN(0，2),。nXX,.,1是一个样本，求2的矩估计量，并证明它为2的无偏估计。本题得分本题得分本题得分文档编码:CX5F2H7E10I3 HI9M3V5R
4、8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5
5、R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V
6、5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3
7、V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M
8、3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9
9、M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI
10、9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10第 3 页(共 4 页)五、（本大题共 1 小题，20 分）从总体X),(2uN中抽取容量为16 的一个样本，样本均值和样本
11、方差分别是4,752SX，5.27)15(,26.6)15(,1315.2)15(2597.02502.0597.0 xxt求u的置信度为0.95 的置信区间和2的置信度为0.95 的置信区间。本题得分文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8
12、H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R
13、8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5
14、R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V
15、5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3
16、V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M
17、3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9
18、M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10第 4 页(共 4 页)六、（本大题共 1 小题，20 分）设某工厂生产工件的直径服从正态分布，要求它们的均值25.0,82u，现检验了一组由16 只工件，计算得样本均值、样本方差分别49.0,65.72sx，试在显著水平05.0下，对该厂生产的工件的均值和方差进行检验，看它们是否符合标准。此题中，,5.27)15(,25)15(,13.2)15(,76.1)15(2025.0205.0025.05.0tt本题得分文档编码:CX5F2H7E10I3 HI9M3V5R
19、8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5
20、R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V
21、5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3
22、V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M
23、3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9
24、M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI
25、9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10第 4 页(共 4 页)答：一.填空题1、A、B 是两个随机事件，已知0.3)B(p,5.0)(,4.0)A(pABP，则)
26、BA(p0.6,)B-A(p0.1，)(BAP=0.4,)BA(p0.6。2、一个袋子中有大小相同的红球6 只、黑球 4 只。（1）从中不放回地任取2 只，则第一次、第二次取红色球的概率为：1/3。（2）若有放回地任取2 只，则第一次、第二次取红色球的概率为：9/25。（3）若第一次取一只球观查球颜色后，追加一只与其颜色相同的球一并放入袋中后，再取第二只，则第一次、第二次取红色球的概率为：21/55。3、设随机变量X 服从 B（2，0.5）的二项分布，则1Xp0.75,Y 服从二项分布B(98,0.5),X与 Y 相互独立,则 X+Y 服从B(100,0.5)，E(X+Y)=50，方差 D(X
27、+Y)=25。4、甲、乙两个工厂生产同一种零件，设甲厂、乙厂的次品率分别为0.1、0.15现从由甲厂、乙厂的产品分别占60%、40%的一批产品中随机抽取一件。（1）抽到次品的概率为：0.12。（2）若发现该件是次品，则该次品为甲厂生产的概率为：0.5 5、设二维随机向量),(YX的分布律如右，则a0.1,)(XE0.4。2YXZ的分布律为:二、已知随机变量X 的密度函数其它,010,)(2xaxxf求：（1）常数a，（2）)5.15.0(Xp（3）X 的分布函数F（x）。解:(1)由3,1)(adxxf得2(2)515.0(Xp=5.15.015.02875.03)(dxxdxxf2(3)xx
28、x0 xxF1,110,0)(32三、设随机变量（X，Y）的联合概率密度为：其它,010,10,2),(yxyyxf求：（1）X，Y 的边缘密度，（2）讨论 X 与 Y 的独立性。XY0 1-1 1 0.2 0.3 0.4 az1 2 概率0.6 0.4 文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10
29、文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G1
30、0文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G
31、10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9
32、G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E
33、9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9
34、E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T
35、9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10第 4 页(共 4 页)解:(1)X，Y 的边缘密度分别为:其他，其他01022)()(01012)(1010yyydxdxyxfyfxydyxfYX4(2)由(1)可见）（）（），（yfxfyxfYX,可知:X，Y 相互独立2四、设总体X N(0，2),。nXX,.,1是一个样本，求2的矩估计量，并证明它为2的无偏估计。解:X 的二阶矩为:22)(XE1X 的二阶样本矩为nkiXnA12211令：22)(AXE
36、,1解得:2121inkXn,2的矩估计量2121inkXn2)1()?(212inkXnEE,它为2的无偏估计量.3五、从 总 体X),(2uN中 抽 取 容 量 为16 的 一 个 样 本，样 本 均 值 和 样 本 方 差 分 别 是4,752SX，5.27)15(,26.6)15(,1315.2)15(2597.02502.0597.0 xxt求 u 的置信度为0.95 的置信区间和2的置信度为0.95 的置信区间。解:(1)n=16,置信水平025.02/,95.01,1315.2)15(597.0t4,752SX由此 u的置信水平为0.95 的置信区间为:)1315.216275(
37、,即)0658.175(5(2)n=16,置信水平025.02/,95.01,5.27)15(,26.6)15(2597.02502.0 xx42S由此2的置信水平为0.95 的置信区间为:文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV
38、4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 Z
39、V4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10
40、ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10
41、 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H1
42、0 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H
43、10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8
44、H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10第 4 页(共 4 页)585.9,182.2()15(415,)15(415(2025.02597.05六、设某工厂生产工件的直径服从正态分布，要求它们的均值25.0,82u，现检验了一组由16 只工件，计算得样本均值、样本方差分别49.0,65.72sx，试在显著水平05.0下，对该厂生产的工件的均值和方差进行检验，看它们是否符合标准。此题中，,5.27)15(,25)15(,13.2)15(,76.1)15(2025.0205.0025.05.0tt解:（1）首先对工件的
45、均值进行检验:H0:8:,81uHu1 分取统计量为16/8sXt,可得拒绝域为:13.2)15(16/8025.0tsXt，2 分经计算,13.224/7.0865.716/8sxt,不在拒绝域内,因此接受H0.认为这批工件的均值符合标准。2 分其次首先对工件的方差进行检验:H0:221225.0:,5.0H1 分取统计量为2225.0)116(s,可得拒绝域为:25)15(5.049.015205.0222 分经计算,254.295.0)116(222s,在拒绝域内,因此拒绝H0.认为这批工件的方差不符合标准。2 分文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T
46、9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1
47、T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V
48、1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4
49、V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV
50、4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 ZV4V1T9E9G10文档编码:CX5F2H7E10I3 HI9M3V5R8H10 Z