设是取自总体X的一个样本，总体X的密度两数为，其中-∞＜μ＜+∞，μ未知，易知μ的极大似然估计量，问：（1)

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A .https://assets.asklib.com/psource/2015102915515648810.jpg B .https://assets.asklib.com/psource/2015102915521272593.jpg C .https://assets.asklib.com/psource/201510291552233937.jpg D .https://assets.asklib.com/psource/2015102915523584859.jpg

A . ['['https://assets.asklib.com/psource/2015102914501741849.jpg B .https://assets.asklib.com/psource/2015102914503351857.jpg C .https://assets.asklib.com/psource/2015102914504519297.jpg D . X1

A . ['x5B .https://assets.asklib.com/psource/2015103009361331257.jpg C . nD .https://assets.asklib.com/psource/2015103009362870429.jpg

A .https://assets.asklib.com/psource/2015102914494644051.jpg B . S2C . 0.4X1+0.6XD . -X1

A . X B . S2 C . S D . 2

设样本X(容量为1)取自具有概率密度f(x)的总体，今有关于总体的假设: <img src='https://img2.soutiyun.com/ask/2020-10-04/97068666656672.png' /> 检验的拒绝域为W= {X＞2/3}，试求该检验的第一类错误概率PI及第二类错误概率PII.

设<img src='https://img2.soutiyun.com/ask/2020-10-04/970679542502247.png' />是取自总体X-N(μ, σ²)的一个样本，均值μ未知，方差σ²已知.;为使μ的双侧1-a置信区间长度不超过I,则至少需要多大的样本量才能达到？

<img src='https://img2.soutiyun.com/ask/2020-11-24/975077556161539.jpg' />

设<img src='https://img2.soutiyun.com/ask/2020-10-04/970677629200813.png' />是取自总体X的一个样本，X的分布函数为<img src='https://img2.soutiyun.com/ask/2020-10-04/970677646302791.png' />，其中θ未知，θ＞0.试求θ的极大似然估计量.

设<img src='https://img2.soutiyun.com/ask/2020-10-04/970676712506381.png' />是取自总体X的一个样本<img src='https://img2.soutiyun.com/ask/2020-10-04/970676722696964.png' />，求最大次序统计量<img src='https://img2.soutiyun.com/ask/2020-10-04/970676733567585.png' />的均值和方差。

设<img src='https://img2.soutiyun.com/ask/2020-10-04/970676527118777.png' />为取自总体X的一个样本,总体X~N(μ, σ²),<img src='https://img2.soutiyun.com/ask/2020-10-04/970676548305989.png' />分别为样本均值和样本方差，求常数k使得<img src='https://img2.soutiyun.com/ask/2020-10-04/970676562899824.png' />。

A．<img src='https://img2.soutiyun.com/ask/uploadfile/5730001-5733000/083bcb3c0123c977d3b9f837f23eeaff.jpg' />B．<img src='https://img2.soutiyun.com/ask/uploadfile/5730001-5733000/fd1704f3fa44fefc4b940c8641ecdba5.jpg' />C．<img src='https://img2.soutiyun.com/ask/uploadfile/5730001-5733000/8e37ad5b6e73b883501a81bf5c8b7d1e.jpg' />D．<img src='https://img2.soutiyun.com/ask/uploadfile/5730001-5733000/918c0dfbd770405c7b4389607fde7feb.jpg' />E．以上均不正确

设<img src='https://img2.soutiyun.com/ask/2020-10-04/970677075262129.png' />是取白总体X的一个样本，总体X的密度函数为<img src='https://img2.soutiyun.com/ask/2020-10-04/970677090889023.png' /> 求a的矩估计量.

<img src='https://img2.soutiyun.com/ask/2020-08-04/965403794587224.png' />

设<img src='https://img2.soutiyun.com/ask/2020-10-04/970675604977034.png' />是取自正态总体N(0，σ²)的一个样本，求下列统计量的抽样分布: <img src='https://img2.soutiyun.com/ask/2020-10-04/970675639287996.png' />

设X₁，X₂，...，X_n是来自总体X的一个样本，<img src='https://img2.soutiyun.com/ask/2020-07-31/965065517141147.png' />而X的概率密度函数为<img src='https://img2.soutiyun.com/ask/2020-07-31/965065529339845.png' />其中θ＞0是未知参数.(1)求总体X的分布函数F(x);(2)求统计量<img src='https://img2.soutiyun.com/ask/2020-07-31/9650655477839.png' />的分布函数<img src='https://img2.soutiyun.com/ask/2020-07-31/965065558561516.png' />;(3)判断<img src='https://img2.soutiyun.com/ask/2020-07-31/965065567199011.png' />是否为θ的无偏估计量。

设<img src='https://img2.soutiyun.com/ask/2020-10-04/970686692025176.png' />是取自总体X-B(1, p)的一个样本，p未知，对于检验<img src='https://img2.soutiyun.com/ask/2020-10-04/970686703942858.png' /><img src='https://img2.soutiyun.com/ask/2020-10-04/97068671062624.png' />(1)取显著性水平a,写出拒绝域W; (2)对于给定一组样本观测值<img src='https://img2.soutiyun.com/ask/2020-10-04/970686723618984.png' />。若在水平a=0.05下不能拒绝H₀,问在水平a =0.01下能否拒绝H₀？请说明理由.

设X₁,X₂…,X₁₀为取自正态总体N(0,0.32)的一个样本,求<img src='https://img2.soutiyun.com/ask/2020-09-30/970332334547325.png' />

设总体<img src='https://img2.soutiyun.com/ask/2021-01-02/978470547656441.png' />是取自该总体的样本，求样本均值Y=(X₁，X₂)的密度函数。

设总体X的密度函数为其<img src='https://img2.soutiyun.com/ask/2020-08-04/965410352488315.png' />中λ＞0为未知参数X₁，…，X_n为抽自此总体的简单随机样本，求λ的置信水平为1-α的置信区间.