2024知到答案 概率论与数理统计（青岛理工大学） 完整智慧树网课章节测试答案
第一章 单元测试
1、单选题：
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（ ）.
选项：
A:A , B同时发生.
B:若A发生, 则B必不发生.
C:若A发生, 则B必发生.
D:若A不发生，则B一定不发生.
答案: 【若A不发生，则B一定不发生.】
2、单选题：
设A，B为任意两个事件，则下列关系式成立的是（ ）.
选项：
A:(AU B)-B＝A
B:(AU B)-B A
C:(A—B)U B＝A
D:(AU B)-B
答案: 【(AU B)-B A】
3、单选题：
随机事件A与B互不相容，且P（A）＞P（B）＞0，则（ ）.
选项：
A:P(AB)=1
B:P(A)=1-P(B)
C:.w64975585010s .brush0 { fill: rgb(255,255,255); } .w64975585010s .pen0 { stroke: rgb(0,0,0); stroke-width: 1; stroke-linejoin: round; } .w64975585010s .pen1 { stroke: rgb(0,0,0); stroke-width: 19; stroke-linejoin: round; } .w64975585010s .font0 { font-size: 406px; font-family: "Times New Roman", serif; } .w64975585010s .font1 { font-size: 374px; font-family: 宋体; } .w64975585010s .font2 { font-weight: bold; font-size: 76px; font-family: System, sans-serif; } PAB1-P(AB) （ ） ＝
D:P(AB)=P(A)P(B)
答案: 【.w64975585010s .brush0 { fill: rgb(255,255,255); } .w64975585010s .pen0 { stroke: rgb(0,0,0); stroke-width: 1; stroke-linejoin: round; } .w64975585010s .pen1 { stroke: rgb(0,0,0); stroke-width: 19; stroke-linejoin: round; } .w64975585010s .font0 { font-size: 406px; font-family: "Times New Roman", serif; } .w64975585010s .font1 { font-size: 374px; font-family: 宋体; } .w64975585010s .font2 { font-weight: bold; font-size: 76px; font-family: System, sans-serif; } PAB1-P(AB) （ ） ＝】
4、单选题：
设随机事件A, B满足P(A|B)=1, 则下列结论正确的是（ ）.
选项：
A:B是必然事件.
B:.w64975584979s .brush0 { fill: rgb(255,255,255); } .w64975584979s .pen0 { stroke: rgb(0,0,0); stroke-width: 1; stroke-linejoin: round; } .w64975584979s .font0 { font-size: 377px; font-family: "Times New Roman", serif; } .w64975584979s .font1 { font-style: italic; font-size: 377px; font-family: "Times New Roman", serif; } .w64975584979s .font2 { font-size: 347px; font-family: Symbol, serif; } .w64975584979s .font3 { font-weight: bold; font-size: 76px; font-family: System, sans-serif; } ()() PABPB = .
C:A是必然事件.
D:.w64975584991s .brush0 { fill: rgb(255,255,255); } .w64975584991s .pen0 { stroke: rgb(0,0,0); stroke-width: 1; stroke-linejoin: round; } .w64975584991s .font0 { font-style: italic; font-size: 377px; font-family: "Times New Roman", serif; } .w64975584991s .font1 { font-size: 347px; font-family: Symbol, serif; } .w64975584991s .font2 { font-weight: bold; font-size: 76px; font-family: System, sans-serif; } ABB = .
答案: 【.w64975584979s .brush0 { fill: rgb(255,255,255); } .w64975584979s .pen0 { stroke: rgb(0,0,0); stroke-width: 1; stroke-linejoin: round; } .w64975584979s .font0 { font-size: 377px; font-family: "Times New Roman", serif; } .w64975584979s .font1 { font-style: italic; font-size: 377px; font-family: "Times New Roman", serif; } .w64975584979s .font2 { font-size: 347px; font-family: Symbol, serif; } .w64975584979s .font3 { font-weight: bold; font-size: 76px; font-family: System, sans-serif; } ()() PABPB = .】
5、单选题：
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（ ）.
选项：
A:A, B不互为对立事件.
B:A, B相互独立.
C:A, B不相互
D:A, B互为对立事件.
答案: 【A, B不相互】
第二章 单元测试
1、单选题：
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.
选项：
A:.w64975585013s .brush0 { fill: rgb(255,255,255); } .w64975585013s .pen0 { stroke: rgb(0,0,0); stroke-width: 1; stroke-linejoin: round; } .w64975585013s .pen1 { stroke: rgb(0,0,0); stroke-width: 19; stroke-linejoin: round; } .w64975585013s .font0 { font-size: 406px; font-family: "Times New Roman", serif; } .w64975585013s .font1 { font-weight: bold; font-size: 76px; font-family: System, sans-serif; } 1 2 .
B:.w64975585032s .brush0 { fill: rgb(255,255,255); } .w64975585032s .pen0 { stroke: rgb(0,0,0); stroke-width: 1; stroke-linejoin: round; } .w64975585032s .pen1 { stroke: rgb(0,0,0); stroke-width: 19; stroke-linejoin: round; } .w64975585032s .font0 { font-size: 406px; font-family: "Times New Roman", serif; } .w64975585032s .font1 { font-weight: bold; font-size: 76px; font-family: System, sans-serif; } 1 3 .
C:.w64975584994s .brush0 { fill: rgb(255,255,255); } .w64975584994s .pen0 { stroke: rgb(0,0,0); stroke-width: 1; stroke-linejoin: round; } .w64975584994s .pen1 { stroke: rgb(0,0,0); stroke-width: 19; stroke-linejoin: round; } .w64975584994s .font0 { font-size: 406px; font-family: "Times New Roman", serif; } .w64975584994s .font1 { font-weight: bold; font-size: 76px; font-family: System, sans-serif; } 3 2 .
D:1.
答案: 【1.】
2、单选题：
设随机变量X的密度函数为 .w64975584967s .brush0 { fill: rgb(255,255,255); } .w64975584967s .pen0 { stroke: rgb(0,0,0); stroke-width: 1; stroke-linejoin: round; } .w64975584967s .font0 { font-size: 260px; font-family: "Times New Roman", serif; } .w64975584967s .font1 { font-size: 406px; font-family: "Times New Roman", serif; } .w64975584967s .font2 { font-style: italic; font-size: 406px; font-family: "Times New Roman", serif; } .w64975584967s .font3 { font-size: 373px; font-family: Symbol, serif; } .w64975584967s .font4 { font-size: 374px; font-family: 宋体; } .w64975584967s .font5 { font-weight: bold; font-size: 76px; font-family: System, sans-serif; } 3 4,01 () 0, xx fx ì <text class="font3" txt="< << = í î 其 它 ，则使 .w64975584951s .brush0 { fill: rgb(255,255,255); } .w64975584951s .pen0 { stroke: rgb(0,0,0); stroke-width: 1; stroke-linejoin: round; } .w64975584951s .font0 { font-size: 406px; font-family: "Times New Roman", serif; } .w64975584951s .font1 { font-style: italic; font-size: 406px; font-family: "Times New Roman", serif; } .w64975584951s .font2 { font-size: 373px; font-family: Symbol, serif; } .w64975584951s .font3 { font-weight: bold; font-size: 76px; font-family: System, sans-serif; } PP XaXa = >=< 成立的常数
（ ）.
选项：
A:
B:
C:
D:
答案: 【】
3、单选题：
下列函数中可以作为某一随机变量的概率密度的是（ ）.
选项：
A:.w64975585011s .brush0 { fill: rgb(255,255,255); } .w64975585011s .pen0 { stroke: rgb(0,0,0); stroke-width: 1; stroke-linejoin: round; } .w64975585011s .pen1 { stroke: rgb(0,0,0); stroke-width: 1; stroke-linejoin: round; } .w64975585011s .brush1 { fill: rgb(0,0,0); } .w64975585011s .pen2 { stroke: none; } .w64975585011s .pen3 { stroke: rgb(0,0,0); stroke-width: 19; stroke-linejoin: round; } .w64975585011s .pen4 { stroke: rgb(0,0,0); stroke-width: 9; stroke-linejoin: round; } .w64975585011s .font0 { font-size: 176px; font-family: "Times New Roman", serif; } .w64975585011s .font1 { font-size: 231px; font-family: "Times New Roman", serif; } .w64975585011s .font2 { font-size: 377px; font-family: "Times New Roman", serif; } .w64975585011s .font3 { font-size: 342px; font-family: 新宋体, monospace; } .w64975585011s .font4 { font-style: italic; font-size: 231px; font-family: "Times New Roman", serif; } .w64975585011s .font5 { font-style: italic; font-size: 377px; font-family: "Times New Roman", serif; } .w64975585011s .font6 { font-style: italic; font-size: 215px; font-family: Symbol, serif; } .w64975585011s .font7 { font-style: italic; font-size: 347px; font-family: Symbol, serif; } .w64975585011s .font8 { font-size: 215px; font-family: Symbol, serif; } .w64975585011s .font9 { font-size: 347px; font-family: Symbol, serif; } .w64975585011s .font10 { font-size: 373px; font-family: Symbol, serif; } .w64975585011s .brush2 { fill: rgb(0,0,0); } .w64975585011s .font11 { font-weight: bold; font-size: 76px; font-family: System, sans-serif; } 2 2 () 2 1 e,0, () 2 0,0. ≥ x x fx x m s ps - - = < ì ï í ï î
B:.w64975584954s .brush0 { fill: rgb(255,255,255); } .w64975584954s .pen0 { stroke: rgb(0,0,0); stroke-width: 1; stroke-linejoin: round; } .w64975584954s .font0 { font-size: 377px; font-family: "Times New Roman", serif; } .w64975584954s .font1 { font-style: italic; font-size: 377px; font-family: "Times New Roman", serif; } .w64975584954s .font2 { font-style: italic; font-size: 347px; font-family: Symbol, serif; } .w64975584954s .font3 { font-size: 347px; font-family: Symbol, serif; } .w64975584954s .font4 { font-size: 373px; font-family: Symbol, serif; } .w64975584954s .font5 { font-size: 342px; font-family: 新宋体, monospace; } .w64975584954s .font6 { font-size: 412px; font-family: ÐÂËÎÌå, monospace; } .w64975584954s .font7 { font-weight: bold; font-size: 76px; font-family: System, sans-serif; } cos,[0,], () 0, xx fx p Î = ì í î 其 它 .
C:.w64975585029s .brush0 { fill: rgb(255,255,255); } .w64975585029s .pen0 { stroke: rgb(0,0,0); stroke-width: 1; stroke-linejoin: round; } .w64975585029s .pen1 { stroke: rgb(0,0,0); stroke-width: 19; stroke-linejoin: round; } .w64975585029s .font0 { font-size: 377px; font-family: "Times New Roman", serif; } .w64975585029s .font1 { font-style: italic; font-size: 377px; font-family: "Times New Roman", serif; } .w64975585029s .font2 { font-size: 347px; font-family: Symbol, serif; } .w64975585029s .font3 { font-size: 373px; font-family: Symbol, serif; } .w64975585029s .font4 { font-size: 342px; font-family: 新宋体, monospace; } .w64975585029s .font5 { font-size: 412px; font-family: ÐÂËÎÌå, monospace; } .w64975585029s .font6 { font-weight: bold; font-size: 76px; font-family: System, sans-serif; } 1 ,2, () 2 0, x fx < = ì ï í ï î 其 它 .
D:.w64975584965s .brush0 { fill: rgb(255,255,255); } .w64975584965s .pen0 { stroke: rgb(0,0,0); stroke-width: 1; stroke-linejoin: round; } .w64975584965s .font0 { font-size: 377px; font-family: "Times New Roman", serif; } .w64975584965s .font1 { font-size: 342px; font-family: 新宋体, monospace; } .w64975584965s .font2 { font-style: italic; font-size: 231px; font-family: "Times New Roman", serif; } .w64975584965s .font3 { font-style: italic; font-size: 377px; font-family: "Times New Roman", serif; } .w64975584965s .font4 { font-size: 215px; font-family: Symbol, serif; } .w64975584965s .font5 { font-size: 347px; font-family: Symbol, serif; } .w64975584965s .font6 { font-size: 373px; font-family: Symbol, serif; } .w64975584965s .font7 { font-weight: bold; font-size: 76px; font-family: System, sans-serif; } e,0, () 0,0. ≥ x x fx x - = < ì í î
答案: 【.w64975584965s .brush0 { fill: rgb(255,255,255); } .w64975584965s .pen0 { stroke: rgb(0,0,0); stroke-width: 1; stroke-linejoin: round; } .w64975584965s .font0 { font-size: 377px; font-family: "Times New Roman", serif; } .w64975584965s .font1 { font-size: 342px; font-family: 新宋体, monospace; } .w64975584965s .font2 { font-style: italic; font-size: 231px; font-family: "Times New Roman", serif; } .w64975584965s .font3 { font-style: italic; font-size: 377px; font-family: "Times New Roman", serif; } .w64975584965s .font4 { font-size: 215px; font-family: Symbol, serif; } .w64975584965s .font5 { font-size: 347px; font-family: Symbol, serif; } .w64975584965s .font6 { font-size: 373px; font-family: Symbol, serif; } .w64975584965s .font7 { font-weight: bold; font-size: 76px; font-family: System, sans-serif; } e,0, () 0,0. ≥ x x fx x - = < ì í î】
4、单选题：
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（ ）.
选项：
A:.w64975585004s .brush0 { fill: rgb(255,255,255); } .w64975585004s .pen0 { stroke: rgb(0,0,0); stroke-width: 1; stroke-linejoin: round; } .w64975585004s .pen1 { stroke: rgb(0,0,0); stroke-width: 19; stroke-linejoin: round; } .w64975585004s .font0 { font-size: 406px; font-family: "Times New Roman", serif; } .w64975585004s .font1 { font-style: italic; font-size: 377px; font-family: "Times New Roman", serif; } .w64975585004s .font2 { font-style: italic; font-size: 406px; font-family: "Times New Roman", serif; } .w64975585004s .font3 { font-size: 373px; font-family: Symbol, serif; } .w64975585004s .font4 { font-weight: bold; font-size: 76px; font-family: System, sans-serif; } 11 () 33 F y -
B:.w64975584976s .brush0 { fill: rgb(255,255,255); } .w64975584976s .pen0 { stroke: rgb(0,0,0); stroke-width: 1; stroke-linejoin: round; } .w64975584976s .font0 { font-size: 377px; font-family: "Times New Roman", serif; } .w64975584976s .font1 { font-style: italic; font-size: 377px; font-family: "Times New Roman", serif; } .w64975584976s .font2 { font-size: 347px; font-family: Symbol, serif; } .w64975584976s .font3 { font-weight: bold; font-size: 76px; font-family: System, sans-serif; } 3()1 Fy +
C:.w64975584987s .brush0 { fill: rgb(255,255,255); } .w64975584987s .pen0 { stroke: rgb(0,0,0); stroke-width: 1; stroke-linejoin: round; } .w64975584987s .font0 { font-size: 406px; font-family: "Times New Roman", serif; } .w64975584987s .font1 { font-style: italic; font-size: 377px; font-family: "Times New Roman", serif; } .w64975584987s .font2 { font-style: italic; font-size: 406px; font-family: "Times New Roman", serif; } .w64975584987s .font3 { font-size: 373px; font-family: Symbol, serif; } .w64975584987s .font4 { font-weight: bold; font-size: 76px; font-family: System, sans-serif; } (31) F y + .
D:.w64975584966s .brush0 { fill: rgb(255,255,255); } .w64975584966s .pen0 { stroke: rgb(0,0,0); stroke-width: 1; stroke-linejoin: round; } .w64975584966s .pen1 { stroke: rgb(0,0,0); stroke-width: 19; stroke-linejoin: round; } .w64975584966s .font0 { font-size: 377px; font-family: "Times New Roman", serif; } .w64975584966s .font1 { font-size: 406px; font-family: "Times New Roman", serif; } .w64975584966s .font2 { font-style: italic; font-size: 377px; font-family: "Times New Roman", serif; } .w64975584966s .font3 { font-style: italic; font-size: 406px; font-family: "Times New Roman", serif; } .w64975584966s .font4 { font-size: 347px; font-family: Symbol, serif; } .w64975584966s .font5 { font-weight: bold; font-size: 76px; font-family: System, sans-serif; } 11 33 () F y - .
答案: 【.w64975585004s .brush0 { fill: rgb(255,255,255); } .w64975585004s .pen0 { stroke: rgb(0,0,0); stroke-width: 1; stroke-linejoin: round; } .w64975585004s .pen1 { stroke: rgb(0,0,0); stroke-width: 19; stroke-linejoin: round; } .w64975585004s .font0 { font-size: 406px; font-family: "Times New Roman", serif; } .w64975585004s .font1 { font-style: italic; font-size: 377px; font-family: "Times New Roman", serif; } .w64975585004s .font2 { font-style: italic; font-size: 406px; font-family: "Times New Roman", serif; } .w64975585004s .font3 { font-size: 373px; font-family: Symbol, serif; } .w64975585004s .font4 { font-weight: bold; font-size: 76px; font-family: System, sans-serif; } 11 () 33 F y -】
5、单选题：
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 （ ）.
选项：
A:.w64975584942s .brush0 { fill: rgb(255,255,255); } .w64975584942s .pen0 { stroke: rgb(0,0,0); stroke-width: 1; stroke-linejoin: round; } .w64975584942s .font0 { font-size: 377px; font-family: "Times New Roman", serif; } .w64975584942s .font1 { font-style: italic; font-size: 377px; font-family: "Times New Roman", serif; } .w64975584942s .font2 { font-weight: bold; font-size: 76px; font-family: System, sans-serif; } (0,1) N .
B:.w64975584999s .brush0 { fill: rgb(255,255,255); } .w64975584999s .pen0 { stroke: rgb(0,0,0); stroke-width: 1; stroke-linejoin: round; } .w64975584999s .font0 { font-size: 377px; font-family: "Times New Roman", serif; } .w64975584999s .font1 { font-style: italic; font-size: 377px; font-family: "Times New Roman", serif; } .w64975584999s .font2 { font-weight: bold; font-size: 76px; font-family: System, sans-serif; } (2,1) N .
C:.w64975584961s .brush0 { fill: rgb(255,255,255); } .w64975584961s .pen0 { stroke: rgb(0,0,0); stroke-width: 1; stroke-linejoin: round; } .w64975584961s .font0 { font-size: 377px; font-family: "Times New Roman", serif; } .w64975584961s .font1 { font-style: italic; font-size: 377px; font-family: "Times New Roman", serif; } .w64975584961s .font2 { font-size: 347px; font-family: Symbol, serif; } .w64975584961s .font3 { font-weight: bold; font-size: 76px; font-family: System, sans-serif; } (2,1) N -- .
D:.w64975585018s .brush0 { fill: rgb(255,255,255); } .w64975585018s .pen0 { stroke: rgb(0,0,0); stroke-width: 1; stroke-linejoin: round; } .w64975585018s .font0 { font-size: 377px; font-family: "Times New Roman", serif; } .w64975585018s .font1 { font-style: italic; font-size: 377px; font-family: "Times New Roman", serif; } .w64975585018s .font2 { font-size: 347px; font-family: Symbol, serif; } .w64975585018s .font3 { font-weight: bold; font-size: 76px; font-family: System, sans-serif; } (2,1) N - .
答案: 【.w64975585018s .brush0 { fill: rgb(255,255,255); } .w64975585018s .pen0 { stroke: rgb(0,0,0); stroke-width: 1; stroke-linejoin: round; } .w64975585018s .font0 { font-size: 377px; font-family: "Times New Roman", serif; } .w64975585018s .font1 { font-style: italic; font-size: 377px; font-family: "Times New Roman", serif; } .w64975585018s .font2 { font-size: 347px; font-family: Symbol, serif; } .w64975585018s .font3 { font-weight: bold; font-size: 76px; font-family: System, sans-serif; } (2,1) N - .】