习题一、基本概念
1.解:
设
为总体的样本
1)
2)
3)
所以
4)
2.解:
由题意得:
i
0
1
2
3
4
个数
6
7
3
2
2
fxi
0.3
0.35
0.15
0.1
0.1
因为
,所以
3.解:
它近似服从均值为172,方差为5.64的正态分布,即
4.解:
因k较大
5.解:
6.解:
7.解:
查卡方分位数表 c/4=18.31,c=73.24
8.解:
由已知条件得:
由
互相独立,知
也互相独立,所以
9.解:
1)
2)
3)
4)
10.解:
1)
2)
11.解:
12.解:
1)
2)
3)
13.解:
14.解:
1)
且
与
相互独立
2)
15.解:
设
,即
16.解:
17.证明:
1)
2)
3)
18. 解:
19.解
20.解:
21. 解:
1)因为
,从而
,所以
2)因为
,
所以
3)因为
,
所以
,
故
22.解:
由Th1.4.1 (2)
查表:
23.解:
由推论1.4.3(2)
24.解:
1)
2)
25. 解:
1)
2)
26.解:
1)
2)
3)
27.解:
28.解:
数学词汇:
数理统计 mathematical statistics
总体 population
样本 sample
分布函数 distribution function
独立事件 independent event
简单样本 simple sample
样本概率空间 sample probability space
样本分布 sample distribution
样本均值 sample mean
样本空间 sample space
样本矩 sample moment
样本方差 sample variance
样本k阶矩 sample moment of order k
样本
标准
excel标准偏差excel标准偏差函数exl标准差函数国标检验抽样标准表免费下载红头文件格式标准下载
差 sample standard deviation
顺序统计量 order statistic
经验分布函数 empirical distribution function
抽样分布 sampling distribution
1 0.9 0.8 0.7
0.6
0.5 0.4 0.30.2 0.1
1 2 3 4
0
x
y
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