1. 答案:0.62

  2. 答案:138
  3. 在两个相互独立的正态总体方差的比较检验里,可能会用到 ( )。

  4. 答案:F-检验
  5. 在两个相互独立的正态总体均值的比较检验里,可能会用到 ( )。

  6. 答案:U-检验###t-检验

  7. 答案:
  8. 显著性水平是指犯第一类错误的最大允许概率值。( )

  9. 答案:对
  10. 实际问题中,我们希望所给的检验能使犯两类错误的概率同时都小,这实际上是办不到的。( )

  11. 答案:错
  12. 假设检验依据的原理是小概率事件实际不发生原理。( )

  13. 答案:对
  14. 统计假设分为简单假设和复合假设。( )

  15. 答案:对

  16. 答案:

  17. 答案:
  18. 现有奖券10张,其中20元的8张,50元的2张,从中随机无放回的抽取3 张,则抽得的3张奖券金额的均值为( )。
  19. 设随机变量X与Y都服从标准正态分布,则X+Y服从正态分布。( )
  20. 设两个相互独立的随机变量X与Y分别服从正态分布N(0,1)和N(1,1), 则 ( )。
  21. 设两随机变量X与Y独立同分布, P(X=-1)=P(Y=-1)=0.5,P(X=1)=P(Y=1)=0.5, 则下列各式中成立的是 ( ) 。
  22. 某人独立地投篮三次,每次投中的概率为p,则至少投中一次的概率是 ( ) 。
  23. 有50张彩票,其中只有一张能中奖。50人排队依次任意抽取一张,每个人抽完后不放回,则前3人中有人中奖的概率为 ( ) 。
  24. 若当事件A与B同时发生时C也发生,则 ( ) 。
  25. 设A、B、C是三个随机事件,则以下命题中正确的是 ( ) 。
  26. 对单个正态总体的均值进行检验时,使用的是t检验法。( )
  27. 假设检验易犯的第一类错误也称为弃真错误。( )
  28. 假设检验的基本原理是实际推断原理。( )
  29. 假设检验时,若增大样本容量,则犯两类错误的概率( )。
  30. 在假设检验中,显著性水平表示( )。
  31. 已知一批零件的长度X(单位:cm)服从正态分布 .w64975585003s .brush0 { fill: rgb(255,255,255); } .w64975585003s .pen0 { stroke: rgb(0,0,0); stroke-width: 1; stroke-linejoin: round; } .w64975585003s .font0 { font-size: 406px; font-family: "Times New Roman", serif; } .w64975585003s .font1 { font-style: italic; font-size: 406px; font-family: "Times New Roman", serif; } .w64975585003s .font2 { font-style: italic; font-size: 373px; font-family: Symbol, serif; } .w64975585003s .font3 { font-weight: bold; font-size: 76px; font-family: System, sans-serif; } (,1) N m ,从中随机地抽取16个零件,得到长度的平均值为40cm,则μ的置信水平为0.95的置信区间是 ( ). 。{(39.51,40.49)}
  32. 设 .w64975584945s .brush0 { fill: rgb(255,255,255); } .w64975584945s .pen0 { stroke: rgb(0,0,0); stroke-width: 1; stroke-linejoin: round; } .w64975584945s .font0 { font-size: 444px; font-family: "MT Extra", serif; } .w64975584945s .font1 { font-style: italic; font-size: 373px; font-family: Symbol, serif; } .w64975584945s .font2 { font-weight: bold; font-size: 76px; font-family: System, sans-serif; } $ q 是未知参数θ的最大似然估计量,则 .w64975585024s .brush0 { fill: rgb(255,255,255); } .w64975585024s .pen0 { stroke: rgb(0,0,0); stroke-width: 1; stroke-linejoin: round; } .w64975585024s .font0 { font-size: 444px; font-family: "MT Extra", serif; } .w64975585024s .font1 { font-style: italic; font-size: 373px; font-family: Symbol, serif; } .w64975585024s .font2 { font-weight: bold; font-size: 76px; font-family: System, sans-serif; } $ q ( ).
  33. 设总体X的概率密度为 .w64975585000s .brush0 { fill: rgb(255,255,255); } .w64975585000s .pen0 { stroke: rgb(0,0,0); stroke-width: 1; stroke-linejoin: round; } .w64975585000s .font0 { font-size: 260px; font-family: "Times New Roman", serif; } .w64975585000s .font1 { font-size: 406px; font-family: "Times New Roman", serif; } .w64975585000s .font2 { font-style: italic; font-size: 260px; font-family: "Times New Roman", serif; } .w64975585000s .font3 { font-style: italic; font-size: 406px; font-family: "Times New Roman", serif; } .w64975585000s .font4 { font-style: italic; font-size: 241px; font-family: Symbol, serif; } .w64975585000s .font5 { font-style: italic; font-size: 373px; font-family: Symbol, serif; } .w64975585000s .font6 { font-size: 241px; font-family: Symbol, serif; } .w64975585000s .font7 { font-size: 373px; font-family: Symbol, serif; } .w64975585000s .font8 { font-weight: bold; font-size: 76px; font-family: System, sans-serif; } () , (,) 0, x ex fx x q q q q -- ì ³ = í < î ,而 .w64975584983s .brush0 { fill: rgb(255,255,255); } .w64975584983s .pen0 { stroke: rgb(0,0,0); stroke-width: 1; stroke-linejoin: round; } .w64975584983s .font0 { font-size: 260px; font-family: "Times New Roman", serif; } .w64975584983s .font1 { font-size: 406px; font-family: "Times New Roman", serif; } .w64975584983s .font2 { font-style: italic; font-size: 260px; font-family: "Times New Roman", serif; } .w64975584983s .font3 { font-style: italic; font-size: 406px; font-family: "Times New Roman", serif; } .w64975584983s .font4 { font-size: 444px; font-family: "MT Extra", serif; } .w64975584983s .font5 { font-weight: bold; font-size: 76px; font-family: System, sans-serif; } 12 ,,, n XXX L 是来自总体X的样本,则未知参数θ的矩估计量为 ( ).
  34. 下面哪个不是估计量的评判标准 ( ).
  35. 设总体 .w64975585016s .brush0 { fill: rgb(255,255,255); } .w64975585016s .pen0 { stroke: rgb(0,0,0); stroke-width: 1; stroke-linejoin: round; } .w64975585016s .font0 { font-style: italic; font-size: 377px; font-family: "Times New Roman", serif; } .w64975585016s .font1 { font-weight: bold; font-size: 76px; font-family: System, sans-serif; } X 的均值为0, 方差 .w64975584997s .brush0 { fill: rgb(255,255,255); } .w64975584997s .pen0 { stroke: rgb(0,0,0); stroke-width: 1; stroke-linejoin: round; } .w64975584997s .font0 { font-size: 231px; font-family: "Times New Roman", serif; } .w64975584997s .font1 { font-style: italic; font-size: 347px; font-family: Symbol, serif; } .w64975584997s .font2 { font-weight: bold; font-size: 76px; font-family: System, sans-serif; } 2 s 存在但未知, 又 .w64975584982s .brush0 { fill: rgb(255,255,255); } .w64975584982s .pen0 { stroke: rgb(0,0,0); stroke-width: 1; stroke-linejoin: round; } .w64975584982s .font0 { font-size: 231px; font-family: "Times New Roman", serif; } .w64975584982s .font1 { font-size: 377px; font-family: "Times New Roman", serif; } .w64975584982s .font2 { font-style: italic; font-size: 377px; font-family: "Times New Roman", serif; } .w64975584982s .font3 { font-weight: bold; font-size: 76px; font-family: System, sans-serif; } 12 , XX 为来自总体 .w64975584973s .brush0 { fill: rgb(255,255,255); } .w64975584973s .pen0 { stroke: rgb(0,0,0); stroke-width: 1; stroke-linejoin: round; } .w64975584973s .font0 { font-style: italic; font-size: 377px; font-family: "Times New Roman", serif; } .w64975584973s .font1 { font-weight: bold; font-size: 76px; font-family: System, sans-serif; } X 的样本, .w64975584960s .brush0 { fill: rgb(255,255,255); } .w64975584960s .pen0 { stroke: rgb(0,0,0); stroke-width: 1; stroke-linejoin: round; } .w64975584960s .font0 { font-size: 231px; font-family: "Times New Roman", serif; } .w64975584960s .font1 { font-size: 377px; font-family: "Times New Roman", serif; } .w64975584960s .font2 { font-style: italic; font-size: 377px; font-family: "Times New Roman", serif; } .w64975584960s .font3 { font-size: 347px; font-family: Symbol, serif; } .w64975584960s .font4 { font-weight: bold; font-size: 76px; font-family: System, sans-serif; } 2 12 () kXX - 为 .w64975584941s .brush0 { fill: rgb(255,255,255); } .w64975584941s .pen0 { stroke: rgb(0,0,0); stroke-width: 1; stroke-linejoin: round; } .w64975584941s .font0 { font-size: 231px; font-family: "Times New Roman", serif; } .w64975584941s .font1 { font-style: italic; font-size: 347px; font-family: Symbol, serif; } .w64975584941s .font2 { font-weight: bold; font-size: 76px; font-family: System, sans-serif; } 2 s 的无偏估计. 则常数 .w64975585019s .brush0 { fill: rgb(255,255,255); } .w64975585019s .pen0 { stroke: rgb(0,0,0); stroke-width: 1; stroke-linejoin: round; } .w64975585019s .font0 { font-style: italic; font-size: 406px; font-family: "Times New Roman", serif; } .w64975585019s .font1 { font-weight: bold; font-size: 76px; font-family: System, sans-serif; } k = ( ) .
  36. 设 .w64975584964s .brush0 { fill: rgb(255,255,255); } .w64975584964s .pen0 { stroke: rgb(0,0,0); stroke-width: 1; stroke-linejoin: round; } .w64975584964s .font0 { font-size: 260px; font-family: "Times New Roman", serif; } .w64975584964s .font1 { font-size: 406px; font-family: "Times New Roman", serif; } .w64975584964s .font2 { font-style: italic; font-size: 260px; font-family: "Times New Roman", serif; } .w64975584964s .font3 { font-style: italic; font-size: 406px; font-family: "Times New Roman", serif; } .w64975584964s .font4 { font-size: 444px; font-family: "MT Extra", serif; } .w64975584964s .font5 { font-weight: bold; font-size: 76px; font-family: System, sans-serif; } 12 ,,, n XXX L 是来自正态总体 .w64975584946s .brush0 { fill: rgb(255,255,255); } .w64975584946s .pen0 { stroke: rgb(0,0,0); stroke-width: 1; stroke-linejoin: round; } .w64975584946s .font0 { font-size: 260px; font-family: "Times New Roman", serif; } .w64975584946s .font1 { font-size: 377px; font-family: "Times New Roman", serif; } .w64975584946s .font2 { font-size: 406px; font-family: "Times New Roman", serif; } .w64975584946s .font3 { font-style: italic; font-size: 377px; font-family: "Times New Roman", serif; } .w64975584946s .font4 { font-style: italic; font-size: 406px; font-family: "Times New Roman", serif; } .w64975584946s .font5 { font-style: italic; font-size: 373px; font-family: Symbol, serif; } .w64975584946s .font6 { font-weight: bold; font-size: 76px; font-family: System, sans-serif; } 2 ~ (,) X N ms 的样本, .w64975585023s .brush0 { fill: rgb(255,255,255); } .w64975585023s .pen0 { stroke: rgb(0,0,0); stroke-width: 1; stroke-linejoin: round; } .w64975585023s .font0 { font-size: 470px; font-family: Symbol, serif; } .w64975585023s .pen1 { stroke: rgb(0,0,0); stroke-width: 19; stroke-linejoin: round; } .w64975585023s .font1 { font-size: 260px; font-family: "Times New Roman", serif; } .w64975585023s .font2 { font-style: italic; font-size: 377px; font-family: "Times New Roman", serif; } .w64975585023s .font3 { font-style: italic; font-size: 406px; font-family: "Times New Roman", serif; } .w64975585023s .font4 { font-size: 347px; font-family: Symbol, serif; } .w64975585023s .font5 { font-size: 373px; font-family: Symbol, serif; } .w64975585023s .font6 { font-weight: bold; font-size: 76px; font-family: System, sans-serif; } ( ) ( ) 2 12 2 34 Y XX XX = - - 的分布为 ( ).
  37. 设 .w64975584989s .brush0 { fill: rgb(255,255,255); } .w64975584989s .pen0 { stroke: rgb(0,0,0); stroke-width: 1; stroke-linejoin: round; } .w64975584989s .font0 { font-size: 260px; font-family: "Times New Roman", serif; } .w64975584989s .font1 { font-size: 406px; font-family: "Times New Roman", serif; } .w64975584989s .font2 { font-style: italic; font-size: 260px; font-family: "Times New Roman", serif; } .w64975584989s .font3 { font-style: italic; font-size: 406px; font-family: "Times New Roman", serif; } .w64975584989s .font4 { font-size: 444px; font-family: "MT Extra", serif; } .w64975584989s .font5 { font-weight: bold; font-size: 76px; font-family: System, sans-serif; } 12 ,,, n XXX L 是来自总体 .w64975584943s .brush0 { fill: rgb(255,255,255); } .w64975584943s .pen0 { stroke: rgb(0,0,0); stroke-width: 1; stroke-linejoin: round; } .w64975584943s .font0 { font-size: 377px; font-family: "Times New Roman", serif; } .w64975584943s .font1 { font-size: 406px; font-family: "Times New Roman", serif; } .w64975584943s .font2 { font-style: italic; font-size: 377px; font-family: "Times New Roman", serif; } .w64975584943s .font3 { font-style: italic; font-size: 406px; font-family: "Times New Roman", serif; } .w64975584943s .font4 { font-weight: bold; font-size: 76px; font-family: System, sans-serif; } ~ (1,) X Bp 的样本,则 .w64975585020s .brush0 { fill: rgb(255,255,255); } .w64975585020s .pen0 { stroke: rgb(0,0,0); stroke-width: 1; stroke-linejoin: round; } .w64975585020s .font0 { font-size: 260px; font-family: "Times New Roman", serif; } .w64975585020s .font1 { font-style: italic; font-size: 260px; font-family: "Times New Roman", serif; } .w64975585020s .font2 { font-style: italic; font-size: 406px; font-family: "Times New Roman", serif; } .w64975585020s .font3 { font-size: 241px; font-family: Symbol, serif; } .w64975585020s .font4 { font-size: 530px; font-family: Symbol, serif; } .w64975585020s .font5 { font-weight: bold; font-size: 76px; font-family: System, sans-serif; } 1 n i i X = å 的分布为 ( ).
  38. 设随机变量 .w64975584977s .brush0 { fill: rgb(255,255,255); } .w64975584977s .pen0 { stroke: rgb(0,0,0); stroke-width: 1; stroke-linejoin: round; } .w64975584977s .pen1 { stroke: rgb(0,0,0); stroke-width: 19; stroke-linejoin: round; } .w64975584977s .font0 { font-size: 231px; font-family: "Times New Roman", serif; } .w64975584977s .font1 { font-size: 377px; font-family: "Times New Roman", serif; } .w64975584977s .font2 { font-style: italic; font-size: 377px; font-family: "Times New Roman", serif; } .w64975584977s .font3 { font-size: 347px; font-family: Symbol, serif; } .w64975584977s .font4 { font-weight: bold; font-size: 76px; font-family: System, sans-serif; } 2 1 ~()(1), XtnnY X >= , 则下列关系中正确的是( ).
  39. 设 .w64975585028s .brush0 { fill: rgb(255,255,255); } .w64975585028s .pen0 { stroke: rgb(0,0,0); stroke-width: 1; stroke-linejoin: round; } .w64975585028s .font0 { font-size: 260px; font-family: "Times New Roman", serif; } .w64975585028s .font1 { font-size: 406px; font-family: "Times New Roman", serif; } .w64975585028s .font2 { font-style: italic; font-size: 260px; font-family: "Times New Roman", serif; } .w64975585028s .font3 { font-style: italic; font-size: 406px; font-family: "Times New Roman", serif; } .w64975585028s .font4 { font-size: 444px; font-family: "MT Extra", serif; } .w64975585028s .font5 { font-weight: bold; font-size: 76px; font-family: System, sans-serif; } 12 ,,, n XXX L 是来自总体X的样本,总体X的均值μ已知,方差 .w64975585009s .brush0 { fill: rgb(255,255,255); } .w64975585009s .pen0 { stroke: rgb(0,0,0); stroke-width: 1; stroke-linejoin: round; } .w64975585009s .font0 { font-size: 260px; font-family: "Times New Roman", serif; } .w64975585009s .font1 { font-style: italic; font-size: 373px; font-family: Symbol, serif; } .w64975585009s .font2 { font-weight: bold; font-size: 76px; font-family: System, sans-serif; } 2 s 未知,则 .w64975584990s .brush0 { fill: rgb(255,255,255); } .w64975584990s .pen0 { stroke: rgb(0,0,0); stroke-width: 1; stroke-linejoin: round; } .w64975584990s .pen1 { stroke: rgb(0,0,0); stroke-width: 19; stroke-linejoin: round; } .w64975584990s .font0 { font-size: 260px; font-family: "Times New Roman", serif; } .w64975584990s .font1 { font-style: italic; font-size: 260px; font-family: "Times New Roman", serif; } .w64975584990s .font2 { font-style: italic; font-size: 406px; font-family: "Times New Roman", serif; } .w64975584990s .font3 { font-style: italic; font-size: 373px; font-family: Symbol, serif; } .w64975584990s .font4 { font-size: 241px; font-family: Symbol, serif; } .w64975584990s .font5 { font-size: 373px; font-family: Symbol, serif; } .w64975584990s .font6 { font-size: 530px; font-family: Symbol, serif; } .w64975584990s .font7 { font-weight: bold; font-size: 76px; font-family: System, sans-serif; } 1 n i i X m s = - å 是统计量。( )
  40. 设X为随机变量,EX=0.1,DX=0.01,则由切比雪夫不等式可得=( )。
  41. 设随机变量X的数学期望为1,方差为0.3,则随机变量X落入区间(0,2)的概率 不小于1。( )
  42. 设随机变量X的数学期望为1,方差为0.5,则随机变量X落入区间(0,2)的概率 不小于0.5。( )
  43. 设随机变量X与Y不相关,且E(X)=2,E(Y)=1,D(X)=3,则E[X(X+Y-2)]=( )。
  44. 在以下结论中,是随机变量X与Y不相关的充要条件的是( )。
  45. 设X与Y相互独立,且都服从N(1,4)分布, 则有( )。
  46. 已知随机变量X服从参数为n,p的二项分布b(n,p),且E(X)=2.4,D(X)=1.44,则参数n,p的值是( )。
  47. 设随机变量(x,y)的分布函数为f(x,y),则概率p{x>a,y>b}=( )
  48. 设二维随机变量(X,Y)的概率密度为f(x,y),则{x>1}=( )
  49. 下列各函数中是随机变量分布函数的为( )
  50. 设 .w64975584949s .brush0 { fill: rgb(255,255,255); } .w64975584949s .pen0 { stroke: rgb(0,0,0); stroke-width: 1; stroke-linejoin: round; } .w64975584949s .font0 { font-size: 441px; font-family: Symbol, serif; } .w64975584949s .font1 { font-size: 377px; font-family: "Times New Roman", serif; } .w64975584949s .font2 { font-style: italic; font-size: 377px; font-family: "Times New Roman", serif; } .w64975584949s .font3 { font-size: 347px; font-family: Symbol, serif; } .w64975584949s .font4 { font-weight: bold; font-size: 76px; font-family: System, sans-serif; } ( ) ~01, XN , 令 .w64975585026s .brush0 { fill: rgb(255,255,255); } .w64975585026s .pen0 { stroke: rgb(0,0,0); stroke-width: 1; stroke-linejoin: round; } .w64975585026s .font0 { font-size: 377px; font-family: "Times New Roman", serif; } .w64975585026s .font1 { font-style: italic; font-size: 377px; font-family: "Times New Roman", serif; } .w64975585026s .font2 { font-size: 347px; font-family: Symbol, serif; } .w64975585026s .font3 { font-weight: bold; font-size: 76px; font-family: System, sans-serif; } 2 YX =-- , 则 .w64975585007s .brush0 { fill: rgb(255,255,255); } .w64975585007s .pen0 { stroke: rgb(0,0,0); stroke-width: 1; stroke-linejoin: round; } .w64975585007s .font0 { font-size: 377px; font-family: "Times New Roman", serif; } .w64975585007s .font1 { font-style: italic; font-size: 377px; font-family: "Times New Roman", serif; } .w64975585007s .font2 { font-weight: bold; font-size: 76px; font-family: System, sans-serif; } ~ Y ( ).
  51. 设X的分布函数为F(x), 则 .w64975584947s .brush0 { fill: rgb(255,255,255); } .w64975584947s .pen0 { stroke: rgb(0,0,0); stroke-width: 1; stroke-linejoin: round; } .w64975584947s .font0 { font-size: 377px; font-family: "Times New Roman", serif; } .w64975584947s .font1 { font-style: italic; font-size: 377px; font-family: "Times New Roman", serif; } .w64975584947s .font2 { font-size: 347px; font-family: Symbol, serif; } .w64975584947s .font3 { font-weight: bold; font-size: 76px; font-family: System, sans-serif; } 31 YX =+ 的分布函数 .w64975585022s .brush0 { fill: rgb(255,255,255); } .w64975585022s .pen0 { stroke: rgb(0,0,0); stroke-width: 1; stroke-linejoin: round; } .w64975585022s .font0 { font-size: 441px; font-family: Symbol, serif; } .w64975585022s .font1 { font-style: italic; font-size: 377px; font-family: "Times New Roman", serif; } .w64975585022s .font2 { font-weight: bold; font-size: 76px; font-family: System, sans-serif; } ( ) Gy 为( ).
  52. 下列函数中可以作为某一随机变量的概率密度的是( ).
  53. 设 .w64975584970s .brush0 { fill: rgb(255,255,255); } .w64975584970s .pen0 { stroke: rgb(0,0,0); stroke-width: 1; stroke-linejoin: round; } .w64975584970s .font0 { font-size: 377px; font-family: "Times New Roman", serif; } .w64975584970s .font1 { font-style: italic; font-size: 377px; font-family: "Times New Roman", serif; } .w64975584970s .font2 { font-size: 347px; font-family: Symbol, serif; } .w64975584970s .font3 { font-size: 373px; font-family: Symbol, serif; } .w64975584970s .font4 { font-weight: bold; font-size: 76px; font-family: System, sans-serif; } 2, [0,], () 0, [0,]. xxc fx xc Î = Ï ì í î 如果c=( ), 则 .w64975584957s .brush0 { fill: rgb(255,255,255); } .w64975584957s .pen0 { stroke: rgb(0,0,0); stroke-width: 1; stroke-linejoin: round; } .w64975584957s .font0 { font-size: 377px; font-family: "Times New Roman", serif; } .w64975584957s .font1 { font-style: italic; font-size: 377px; font-family: "Times New Roman", serif; } .w64975584957s .font2 { font-weight: bold; font-size: 76px; font-family: System, sans-serif; } () fx 是某一随机变量的概率密度函数.
  54. 设随机事件A与B互不相容, 且有P(A)>0, P(B)>0, 则下列关系成立的是( ).
  55. 设随机事件A, B满足P(A|B)=1, 则下列结论正确的是( ).
  56. 随机事件A与B互不相容,且P(A)>P(B)>0,则( ).
  57. 设A,B为任意两个事件,则下列关系式成立的是( ).
  58. 设随机事件A,B满足关系 .w64975584953s .brush0 { fill: rgb(255,255,255); } .w64975584953s .pen0 { stroke: rgb(0,0,0); stroke-width: 1; stroke-linejoin: round; } .w64975584953s .font0 { font-style: italic; font-size: 377px; font-family: "Times New Roman", serif; } .w64975584953s .font1 { font-size: 347px; font-family: Symbol, serif; } .w64975584953s .font2 { font-weight: bold; font-size: 76px; font-family: System, sans-serif; } AB É ,则下列表述正确的是( ).
  59. 随机变量的数学期望一定存在 。( )
  60. 一维正态分布的线性函数仍是正态分布 。( )
  61. 甲乙两人独立地对同一目标射击一次,其命中率分别为0.6和0.5。现已知目标被命中,则它是甲命中的概率为( )。
  62. t分布可以看成是正态分布的拓展和修正。( )
  63. 下列各函数不可以作为某个随机变量分布函数的是( )。
  64. 事件的频率具有( )。
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