全国概率论与数理统计(经管类)考前模拟试题五

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17

为来自总体X的样本,为样本均值,则样本方差=() 

  • A.<img src="//img1.yqda.net/question-name/ae/87ad499ee1c122b29b1dc19bf737e9.png" width="211" height="72"/>
  • B.<img src="//img1.yqda.net/question-name/74/4148088ebe7d6635cc0d44122535b7.png" width="261" height="70"/>
  • C.<img src="//img1.yqda.net/question-name/5f/df702d66317f9b56415f4559f3f174.png" width="254" height="81"/>
  • D.<img src="//img1.yqda.net/question-name/22/8985f01c83552b16e1000ee6543ecd.png" width="256" height="71"/>
18

  • A.<img src="//img1.yqda.net/question-name/f2/98e423c0115445fe52a5674c5b340d.png" width="26" height="26"/>是E(X)的无偏估计
  • B.<img src="//img1.yqda.net/question-name/f2/98e423c0115445fe52a5674c5b340d.png" width="26" height="26" />是D(X)的无偏估计
  • C.<img src="//img1.yqda.net/question-name/f2/98e423c0115445fe52a5674c5b340d.png" width="26" height="26" />是E(X)的矩估计
  • D.<img src="//img1.yqda.net/question-name/f2/98e423c0115445fe52a5674c5b340d.png" width="26" height="26" />是<img src="//img1.yqda.net/question-name/c5/b90aa32f51b0c1665b31a31a5b6572.png" width="35" height="39"/>的无偏估计
20

为来自总体X的样本(n>1),且D(X)=,则的无偏估计量为()

  • A.<img src="//img1.yqda.net/question-name/94/f6ea69bf6b41b3f7f9c2ef4c13127c.png" width="245" height="72"/>
  • B.<img src="//img1.yqda.net/question-name/98/38fd0a10df321e09f5c5daadccff65.png" width="195" height="70"/>
  • C.<img src="//img1.yqda.net/question-name/f3/3e7b9878344aaa27eb52742902affe.png" width="240" height="68"/>
  • D.<img src="//img1.yqda.net/question-name/0a/9e417792fce603feb48df90a60196f.png" width="248" height="70"/>
21

随机变量X服从泊松分布P(),(>0),则=()

  • A.<img src="//img1.yqda.net/question-name/2c/51c84797083b6d100bd8234fc3b5e3.png" width="15" height="30" />
  • B.<img src="//img1.yqda.net/question-name/b6/26663af424cb19a8fdc39b2ade3ebd.png" width="12" height="46"/>
  • C.1
  • D.<img src="//img1.yqda.net/question-name/51/8a658989502c001924c25a69fa808f.png" width="17" height="24"/>
22

随机变量X的分布律为

()

  • A.13.4
  • B.13.3
  • C.13.2
  • D.8.4
24

  • A.<img src="//img1.yqda.net/question-name/b5/f97cd3e2c5f2cbe5454355545a5f00.png" width="198" height="44"/>
  • B.<img src="//img1.yqda.net/question-name/d6/45de52ec2c7e38d9eca5594f3f7aae.png" width="188" height="44"/>
  • C.<img src="//img1.yqda.net/question-name/89/fb3b3da65293233525b40dc1b62564.png" width="191" height="44"/>
  • D.<img src="//img1.yqda.net/question-name/7d/d121636fee4e13ce173949c43f8a4d.png" width="191" height="44"/>
25

若X与Y的方差都存在,D(X)>0,D(Y)>0,E(XY)=E(X)E(Y),则一定有()

  • A.X与Y独立
  • B.X与Y不相关
  • C.D(XY)=D(X)D(Y)
  • D.D(X-Y)=D(X)-D(Y)