2016年广播电视大学应用概率统计复习试题资料

学生姓名学号专业年级成绩一、填空题（每小题2分，本题共16分）1、设随机变量1,4XN，则3PX。（已知标准正态分布函数值05,10843,2097）2、设随机变量服从泊松分布且具有方差2，那么的分布律为。3、设一维连续型随机变量X的概率密度函数为,1XXF其余，则随机变量2XY的概率密度函数为。4、以下是利用MINITAB对变量和Y的线性相关性作回归分析所得结果，由此判定回归方程是。THEREGRESSIONEQUATIONISY0630040XANALYSISOFVARIANCESOURCEDFSSMSFPREGRESSION1017801780130725RESIDUALERROR9122001356TOTAL10123785、设总体12100,XNX是它的一个样本，则22213579XX服从分布。6、设正态总体的均方差3，该总体的一个容量为9的样本的样本均值X，则总体均值的置信水平为95的置信区间是。7、在双因素有交互作用的方差分析中，设因素A有3个水平，因素B有2个水平，每个处理作两次重复试验，则试验误差平方和的自由度EDF。8、设Y关于X的线性回归方程为01YX，则A01,。（10,78,24XYXYLLY）二、单项选择题（每小题2分，本题共18分）1、设,4,|6,PABPAB则|PB。24308CD2、设1,X是相互独立的两个随机变量，则12X。2121DC3、二维随机变量的分布函数,FXY。,YXYADFDBDFXDPXYDPXY4、多个相互独立的服从正态分布的随机变量的线性组合服从。二项分布泊松分布C均匀分布D正态分布5、以下哪一个MINITAB命令用于作回归分析。REASTANOVBSTATBLSCGRSIONDIMESRI6、以下哪一个MATLAB命令用于求定积分。ALIMTBDIFCEVALDTRPZ7、设总体2,XN，对检验水平，欲检验方差220010,H由容量为N的一个样本计算出来的2统计量的观察值应与作比较。22211NNN8、参数的点估计量的无偏性指的是。00AEBECD9、设12,NX是总体X的一个样本，则总体方差的矩法估计量是。2222111NNNIIIIIIIIXXD三、计算题（每小题8分，本题共56分）1、在次品率为5的一批产品中任取5件，求其中至少有两件次品的概率。2、以下是某农作物对三种土壤1,23A，四种肥料1,23,4B，每一个处理作三次重复试验后所得产量的方差分析表的部分数据，完成方差分析表并写出分析结果。方差来源平方和自由度均方和F值临界值土壤因素A287S肥料因素B5609AB误差127ES总和8903T（参考临界值050505,46,2,43,24301,276FFF）3、某工厂生产的一种电子设备的寿命X（以1000小时为单位）服从以12为参数的指数分布。设产品的单位成本是200元，售价是500元。但是，如果09X，则工厂承担全部退款。试求工厂承担全部退款的概率以及一件产品的期望利润。4、某工厂生产的某种产品的合格率为92，假定质检系统是经过简化的，对合格品以96的概率给出合格的结果，对不合格品同样以96的概率给出不合格的结果。试求产品经质检后为合格品的概率，又问一件经检验为合格品的产品确是合格品的概率是多少5、假定某种电池的工作时间服从正态分布，观察五个电池的工作时间（小时）为32，41，42，49，53问这批样本是否取自均值为50（小时）的总体（05）（0250502505196,4,76,4213UTT）6、设二维随机变量,XY的联合概率密度函数如下，试求A，并问X与Y是否相互独立01,AXYXYFY其余地方7、已知随机变量X的概率密度函数为23,0,1XF，求X的分布函数FX及事件132P的概率。四、综合实验（本题10分，开卷，解答另附于数学实验报告中）华南农业大学期末考试试卷（A卷）2003学年第二学期考试科目应用概率统计（答案）评卷人学生姓名学号专业年级成绩一、填空题（每小题2分，本题共16分）1、设随机变量1,4XN，则013384PX。（已知标准正态分布函数值05,2097）2、设随机变量服从泊松分布且具有方差2，那么的分布律为,1,KE。3、设一维连续型随机变量X的概率密度函数为,0XXF其余，则随机变量2XY的概率密度函数为18,02YYF其余。4、以下是利用MINITAB对变量X和的线性相关性作回归分析所得结果，由此判定回归方程是无效的。THEREGRESSIONEQUATIONISY0630040XANALYSISOFVARIANCESOURCEDFSSMSFPREGRESSION1017801780130725RESIDUALERROR9122001356TOTAL10123785、设总体12100,XNX是它的一个样本，则22213579XX服从25分布。6、设正态总体的均方差3，该总体的一个容量为9的样本的样本均值X，则总体均值的置信水平为95的置信区间是154,6或0250253,U。7、在双因素有交互作用的方差分析中，设因素A有3个水平，因素B有2个水平，每个处理重复两次试验，则试验误差平方和的自由度EDF6。8、设Y关于X的线性回归方程为01YX，则A014,8。（10,78,3,2XYXYLLY）二、单项选择题（每小题2分，本题共18分）1、设,04,|06,PABPAB则|PBC。024348CD2、设1,X是相互独立的两个随机变量，则12AX。2121DC3、二维随机变量的分布函数,FXY。,YXYADFDBDFXDPXYDPXY4、多个相互独立的服从正态分布的随机变量的线性组合服从D。二项分布泊松分布C均匀分布正态分布5、以下哪一个MINITAB命令用于作回归分析。ASTANOVBSTATBLESCREGRSIONDIMSRI6、以下哪一个MATLAB命令用于求定积分。LIMTDIFCEVLTPZ7、设总体2,X，对检验水平，欲检验方差220010,H由容量为N的一个样本计算出来的2统计量的观察值应与B作比较。22211ABNCNDN8、参数的点估计量的无偏性指的是B。00EE9、设12,NX是总体X的一个样本，则总体方差的矩法估计量是B。2222111NNNIIIIIIIIAXCXD三、计算题（每小题8分，本题共56分）1、在次品率为5的一批产品中任取5件，求其中至少有两件次品的概率。解设X表示5件产品中次品的数目，则,05B（2分）所求的概率为101PPX（3分）451099C（2分）26（1分）2、以下是某农作物对三种土壤1,23A，四种肥料,3,4B，每一个处理作三次重复试验后所得产量的方差分析表的部分数据，完成方差分析表并写出分析结果。方差来源平方和自由度均方和F值临界值土壤因素A287S2143602830肥料因素B56093186993711AB6147802925误差127ES245044总和8903T35（参考临界值050505,46,2,43,24301,276FFF）（表格5分）分析结果因为058,A，314301B05296,2F所以因素，即肥料对农作物产量的影响是有统计意义的，而因素A，即土壤对农作物的产量的影响没有统计意义，肥料和土壤之间也不存在交互效应。（3分）3、某工厂生产的一种电子设备的寿命X（以1000小时为单位）服从以12为参数的指数分布。设产品的单位成本是200元，售价是500元。但是，如果09X，则工厂承担全部退款。试求工厂要承担全部退款的概率及一件产品的期望利润。解0911090452236XXPXEDE（4分）令Y表示一件产品的利润，则Y的分布律为23P064（分布律2分）一件产品的期望利润20360412EY（元）（4分）4、某工厂生产的某种产品的合格率为92，假定质检系统是经过简化的，对合格品以96的概率给出合格的结果，对不合格品同样以96的概率给出不合格的结果。试求产品经质检后为合格品的概率，又问一件经检验为合格品的产品确是合格品的概率是多少解设A表示任取的一件产品是合格品，B表示任取的一件产品被检验为合格品。则产品经质检后为合格品的概率PBA|09260846PA（4分）一件经检验为合格品的产品确是合格品的概率为|BPAB9209（4分）5、假定某种电池的工作时间服从正态分布，观察五个电池的工作时间（小时）为32，41，42，49，53问这批样本是否取自均值为50（小时）的总体（05）（0250502505196,4,76,213UTT）解法一已知N3X8S检验假设0010,H（2分）因为总体方差未知，所以用T统计量作检验4/5XTTS（2分）由样本计算得的观察值为02431837680T（2分）所以接受假设0H，可以认为这批样本是取自均值为50（小时）的总体。（2分）解法二已知5,N43,XS检验假设0010（2分）因为总体方差未知，所以用T统计量作检验504/XTTS（2分）由样本计算得的观察值为05431831380T（2分）所以接受假设0H，可以认为这批样本是取自均值为50（小时）的总体。（2分）6、设二维随机变量,XY的联合概率密度函数如下，试求A，并问X与Y是否相互独立,01,AXYXYFY其余地方解（1）0FDAD112X（2分）（2）,XFXFY10,01012,XDX其余其余（2分）YFYFXY101,01,02,YD其余其余（2分）显然,XYFF所以，X与Y非相互独立。（2分）7、已知随机变量X的概率密度函数为23,0,1XF，求X的分布函数FX及事件132P的概率。解（1）当0X时，0XFD当1时，23X当时，0101XD综上所述，3,1,FX（4分）（2）1232PXPX（2分）13190742F（2分）四、综合实验（本题10分，开卷，解答另附于数学实验报告中）请您删除一下内容，O_O谢谢2016年中央电大期末复习考试小抄大全，电大期末考试必备小抄，电大考试必过小抄BASKETBALLCANMAKEATRUECLAIMTOBEINGTHEONLYMAJORSPORTTHATISANAMERICANINVENTIONFROMHIGHSCHOOLTOTHEPROFESSIONALLEVEL,BASKETBALLATTRACTSALARGEFOLLOWINGFORLIVEGAMESASWELLASTELEVISIONCOVERAGEOFEVENTSLIKETHENATIONALCOLLEGIATEATHLETICASSOCIATIONNCAAANNUALTOURNAMENTANDTHENATIONALBASKETBALLASSOCIATIONNBAANDWOMENSNATIONALBASKETBALLASSOCIATIONWNBAPLAYOFFSANDITHASALSOMADEAMERICANHEROESOUTOFITSPLAYERANDCOACHLEGENDSLIKEMICHAELJORDAN,LARRYBIRD,EARVIN“MAGIC“JOHNSON,SHERYLSWOOPES,ANDOTHERGREATPLAYERSATTHEHEARTOFTHEGAMEISTHEPLAYINGSPACEANDTHEEQUIPMENTTHESPACEISARECTANGULAR,INDOORCOURTTHEPRINCIPALPIECESOFEQUIPMENTARETHETWOELEVATEDBASKETS,ONEATEACHENDINTHELONGDIRECTIONOFTHECOURT,ANDTHEBASKETBALLITSELFTHEBALLISSPHERICALINSHAPEANDISINFLATEDBASKETBALLSRANGEINSIZEFROM28530IN7276CMINCIRCUMFERENCE,ANDINWEIGHTFROM1822OZ510624GFORPLAYERSBELOWTHEHIGHSCHOOLLEVEL,ASMALLERBALLISUSED,BUTTHEBALLINMENSGAMESMEASURES29530IN757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