南开12春学期《概率论与数理统计》在线作业答案
南开12春学期《概率论与数理统计》在线作业一、单选题:
1. . (满分:2)
A. 0.3
B. 0.5
C. 0.7
D. 1.3
2. . (满分:2)
A. <img width="87" height="26" alt="" src="http://file.open.com.cn/ItemDB/69249/fb528b9b-9dd6-4c53-94b2-b78acac650ec/20101111103451569.jpg" />
B. <img width="261" height="27" alt="" src="http://file.open.com.cn/ItemDB/69249/fb528b9b-9dd6-4c53-94b2-b78acac650ec/201011111035338.jpg" />
C. <img width="281" height="50" alt="" src="http://file.open.com.cn/ItemDB/69249/fb528b9b-9dd6-4c53-94b2-b78acac650ec/20101111103513460.jpg" />
D. <span style="FONT-FAMILY: 宋体; FONT-SIZE: 10.5pt; mso-bidi-font-size: 12.0pt; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA; mso-bidi-font-family: 'Times New Roman'">以上命题都正确</span>
3. (满分:2)
A.
B.
C.
D.
4. (满分:2)
A.
B.
C.
D.
5. (满分:2)
A.
B.
C.
D.
6. (满分:2)
A. 是
B. 否
C.
D.
7. (满分:2)
A.
B.
C.
D.
8. (满分:2)
A. 是
B. 否
C.
D.
9. (满分:2)
A.
B.
C.
D.
10. 12个乒乓球中有9个新的3个旧的, 第一次比赛取出了3个, 用完后放回去, 第二次比赛又取出3个, 第二次取到的3个球中有2个新球的概率为() (满分:2)
A. 0.455
B. 0.535
C. 0.406
D. 0.345
11. (满分:2)
A.
B.
C.
D.
12. (满分:2)
A.
B.
C.
D.
13. 设连续型随机变量X的密度函数和分布函数分别为f(x)和F(x),则下列选项正确的是( ) (满分:2)
A. <img width="86" height="36" alt="" src="http://file.open.com.cn/ItemDB/69249/aab952fd-fc38-4056-83cc-189986a1a556/20101111103110480.jpg" />
B. <img width="117" height="41" alt="" src="http://file.open.com.cn/ItemDB/69249/aab952fd-fc38-4056-83cc-189986a1a556/20101111103123309.jpg" />
C. <img width="118" height="30" alt="" src="http://file.open.com.cn/ItemDB/69249/aab952fd-fc38-4056-83cc-189986a1a556/20101111103133544.jpg" />
D. <img width="115" height="37" alt="" src="http://file.open.com.cn/ItemDB/69249/aab952fd-fc38-4056-83cc-189986a1a556/20101111103143248.jpg" />
14. (满分:2)
A.
B.
C.
D.
15. . (满分:2)
A. 0.025
B. 0.05
C. 0.95
D. 0.975
16. (满分:2)
A.
B.
C.
D.
17. 在圆周上有10个等分点,以这些点为顶点,每3个点可以构成一个三角形,如果随机选择3个点,刚好构成直角三角形的概率是( ) (满分:2)
A. <img width="26" height="41" alt="" src="http://file.open.com.cn/ItemDB/69249/fc4d5f05-9a2b-46d8-baf6-17308ee7cd05/20101111101743819.jpg" />
B. <img width="19" height="48" alt="" src="http://file.open.com.cn/ItemDB/69249/fc4d5f05-9a2b-46d8-baf6-17308ee7cd05/2010111110175270.jpg" />
C. <img width="27" height="54" alt="" src="http://file.open.com.cn/ItemDB/69249/fc4d5f05-9a2b-46d8-baf6-17308ee7cd05/20101111101759320.jpg" />
D. <img width="26" height="48" alt="" src="http://file.open.com.cn/ItemDB/69249/fc4d5f05-9a2b-46d8-baf6-17308ee7cd05/2010111110188164.jpg" />
18. (满分:2)
A.
B.
C.
D.
19. . (满分:2)
A. <img width="92" height="41" alt="" src="http://file.open.com.cn/ItemDB/69249/733ad2f2-b816-4000-bd7f-26319d78e40a/20101111103636120.jpg" />
B. <img width="325" height="136" alt="" src="http://file.open.com.cn/ItemDB/69249/733ad2f2-b816-4000-bd7f-26319d78e40a/20101111103647433.jpg" />
C. <img width="148" height="48" alt="" src="http://file.open.com.cn/ItemDB/69249/733ad2f2-b816-4000-bd7f-26319d78e40a/2010111110371949.jpg" />
D. <span style="FONT-FAMILY: 宋体; FONT-SIZE: 10.5pt; mso-bidi-font-size: 12.0pt; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA; mso-bidi-font-family: 'Times New Roman'">以上命题都不对</span>
20. (满分:2)
A.
B.
C.
D.
21. 下列说法正确的是( ) (满分:2)
A. <span style="FONT-FAMILY: 宋体; FONT-SIZE: 10.5pt; mso-bidi-font-size: 12.0pt; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA; mso-bidi-font-family: 'Times New Roman'">任一事件的概率总在(<span lang="EN-US">0.1</span>)内 </span>
B. <span style="FONT-FAMILY: 宋体; FONT-SIZE: 10.5pt; mso-bidi-font-size: 12.0pt; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA; mso-bidi-font-family: 'Times New Roman'">不可能事件的概率不一定为<span lang="EN-US">0</span></span>
C. <span style="FONT-FAMILY: 宋体; FONT-SIZE: 10.5pt; mso-bidi-font-size: 12.0pt; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA; mso-bidi-font-family: 'Times New Roman'">必然事件的概率一定为<span lang="EN-US">1 </span></span>
D. <span style="FONT-FAMILY: 宋体; FONT-SIZE: 10.5pt; mso-bidi-font-size: 12.0pt; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA; mso-bidi-font-family: 'Times New Roman'">以上均不对</span>
22. (满分:2)
A.
B.
C.
D.
23. . (满分:2)
A. <img width="480" height="63" alt="" src="http://file.open.com.cn/ItemDB/69249/a7dc9930-ef04-4782-8943-6aa3728c4f98/20101111104557723.jpg" />
B. <img width="495" height="53" alt="" src="http://file.open.com.cn/ItemDB/69249/a7dc9930-ef04-4782-8943-6aa3728c4f98/2010111110468521.jpg" />
C. <img width="471" height="54" alt="" src="http://file.open.com.cn/ItemDB/69249/a7dc9930-ef04-4782-8943-6aa3728c4f98/20101111104620584.jpg" />
D. <img width="453" height="57" alt="" src="http://file.open.com.cn/ItemDB/69249/a7dc9930-ef04-4782-8943-6aa3728c4f98/20101111104636381.jpg" />
24. 某药厂用从甲、乙、丙三地收购而来的药材加工生产出一种中成药,三地的供货量分别占40%,35%和25%,且用这三地的药材能生产出优等品的概率分别为0.65,0.70和0.85,如果一件产品是优质品,它的材料来自甲地的概率为( )。 (满分:2)
A. 0.445
B. 0.533
C. 0.327
D. 0.362
25. (满分:2)
A.
B.
C.
D.
26. 袋中装有标号为1,2,3,4的四只球,四人从中各取一只球,其中甲不取1号球,乙不取2号球,丙不取3号球,丁不取4号球的概率为 ( ) (满分:2)
A. <img width="21" height="41" alt="" src="http://file.open.com.cn/ItemDB/69249/da5db1b3-e539-465d-9405-f11e176d6d35/2010111110336781.jpg" />
B. <img width="18" height="47" alt="" src="http://file.open.com.cn/ItemDB/69249/da5db1b3-e539-465d-9405-f11e176d6d35/2010111110344469.jpg" />
C. <img width="22" height="43" alt="" src="http://file.open.com.cn/ItemDB/69249/da5db1b3-e539-465d-9405-f11e176d6d35/201011111035248.jpg" />
D. <img width="26" height="47" alt="" src="http://file.open.com.cn/ItemDB/69249/da5db1b3-e539-465d-9405-f11e176d6d35/201011111040111.jpg" />
27. (满分:2)
A.
B.
C.
D.
28. (满分:2)
A.
B.
C.
D.
29. (满分:2)
A.
B.
C.
D.
30. 若某产品的不合格率为0.005,任取10000件,不合格品不多于70件的概率等于( ) (满分:2)
A. 0.5
B. 0.998
C. 0.776
D. 0.865
31. (满分:2)
A.
B.
C.
D.
32. 如果存在常数a,b(a≠0),使P(Y=aX+b)=1,且0∞,则ρXY=( ) (满分:2)
A. <img width="26" height="57" alt="" src="http://file.open.com.cn/ItemDB/69249/ace9ee5d-3997-4a6c-acf4-0ac3215de20b/20101111105357932.jpg" />
B. -1
C. 1
D. <img width="67" height="40" alt="" src="http://file.open.com.cn/ItemDB/69249/ace9ee5d-3997-4a6c-acf4-0ac3215de20b/20101111105439887.jpg" />
33. . (满分:2)
A. <img width="28" height="52" alt="" src="http://file.open.com.cn/ItemDB/69249/e15e9838-8da9-44bf-aa97-82a1104c9629/20101111105247585.jpg" />
B. <img width="23" height="51" alt="" src="http://file.open.com.cn/ItemDB/69249/e15e9838-8da9-44bf-aa97-82a1104c9629/2010111110534321.jpg" />
C. <img width="31" height="50" alt="" src="http://file.open.com.cn/ItemDB/69249/e15e9838-8da9-44bf-aa97-82a1104c9629/20101111105314102.jpg" />
D. 1
34.从分别写有A、B、C、D、E的5张卡片中任取2张,这2张卡片上的字母恰好是按字母顺序相邻的概率是( ) (满分:2)
A. <img width="14" height="38" alt="" src="http://file.open.com.cn/ItemDB/69249/753b09d6-c5e6-491e-930b-4e8d80c4db23/20101111101246587.jpg" />
B. <img width="15" height="42" alt="" src="http://file.open.com.cn/ItemDB/69249/753b09d6-c5e6-491e-930b-4e8d80c4db23/2010111110131510.jpg" />
C. <img width="22" height="45" alt="" src="http://file.open.com.cn/ItemDB/69249/753b09d6-c5e6-491e-930b-4e8d80c4db23/20101111101311526.jpg" />
D. <img width="18" height="43" alt="" src="http://file.open.com.cn/ItemDB/69249/753b09d6-c5e6-491e-930b-4e8d80c4db23/20101111101321901.jpg" />
35. (满分:2)
A.
B.
C.
D.
36. . (满分:2)
A. <img width="70" height="45" alt="" src="http://file.open.com.cn/ItemDB/69249/1560e13e-641f-44f5-a52c-412f5638f979/20101111104331529.jpg" />
B. <img width="41" height="31" alt="" src="http://file.open.com.cn/ItemDB/69249/1560e13e-641f-44f5-a52c-412f5638f979/20101111104344217.jpg" />
C. <img width="46" height="38" alt="" src="http://file.open.com.cn/ItemDB/69249/1560e13e-641f-44f5-a52c-412f5638f979/20101111104356859.jpg" />
D. <img width="75" height="36" alt="" src="http://file.open.com.cn/ItemDB/69249/1560e13e-641f-44f5-a52c-412f5638f979/20101111104410812.jpg" />
37. (满分:2)
A.
B.
C.
D.
38. (满分:2)
A.
B.
C.
D.
39. (满分:2)
A.
B.
C.
D.
40. 在100件产品中,有95件合格品,5件次品,从中任取2件,则下列叙述正确的是( ): (满分:2)
A. <img width="188" height="62" alt="" src="http://file.open.com.cn/ItemDB/69249/a11b4820-29b0-446e-9c60-fff881eba6fd/2010111110710666.jpg" />
B. <img width="160" height="67" alt="" src="http://file.open.com.cn/ItemDB/69249/a11b4820-29b0-446e-9c60-fff881eba6fd/2010111110717588.jpg" />
C. <img width="265" height="59" alt="" src="http://file.open.com.cn/ItemDB/69249/a11b4820-29b0-446e-9c60-fff881eba6fd/2010111110726604.jpg" />
D. <span style="FONT-FAMILY: 宋体; FONT-SIZE: 10.5pt; mso-bidi-font-size: 12.0pt; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA; mso-bidi-font-family: 'Times New Roman'">以上都不对。</span>
41. 从集合 中,选出由5个数组成的子集,使得这5个数的任何两个数的和不等于11,则取出这样的子集的概率为( ) (满分:2)
A. <img width="48" height="49" alt="" src="http://file.open.com.cn/ItemDB/69249/148b5280-081a-44a8-82e9-0c53a4f3609c/2010111110155672.jpg" />
B. <img width="48" height="49" alt="" src="http://file.open.com.cn/ItemDB/69249/148b5280-081a-44a8-82e9-0c53a4f3609c/20101111101514766.jpg" />
C. <img width="41" height="52" alt="" src="http://file.open.com.cn/ItemDB/69249/148b5280-081a-44a8-82e9-0c53a4f3609c/20101111101525204.jpg" />
D. <img width="35" height="57" alt="" src="http://file.open.com.cn/ItemDB/69249/148b5280-081a-44a8-82e9-0c53a4f3609c/20101111101538298.jpg" />
42. (满分:2)
A. 是
B. 否
C.
D.
43. (满分:2)
A.
B.
C.
D.
44. 下列函数中,可以是连续型随机变量密度函数的是( ) (满分:2)
A. <img width="176" height="72" alt="" src="http://file.open.com.cn/ItemDB/69249/9005b146-d0bc-4f1f-86c9-e907f09d9b8e/20101111103329768.jpg" />
B. <img width="186" height="80" alt="" src="http://file.open.com.cn/ItemDB/69249/9005b146-d0bc-4f1f-86c9-e907f09d9b8e/20101111103341237.jpg" />
C. <img width="168" height="80" alt="" src="http://file.open.com.cn/ItemDB/69249/9005b146-d0bc-4f1f-86c9-e907f09d9b8e/20101111103350222.jpg" />
D. <img width="189" height="70" alt="" src="http://file.open.com.cn/ItemDB/69249/9005b146-d0bc-4f1f-86c9-e907f09d9b8e/2010111110341598.jpg" />
45. 有100张卡片(从1号到100号),从中任取1张,取到的卡号是7的倍数的概率为( ) (满分:2)
A. <img width="24" height="48" alt="" src="http://file.open.com.cn/ItemDB/69249/7e24cece-7c91-46c6-9c32-06f4a9605925/20101111101016846.jpg" />
B. <img width="33" height="45" alt="" src="http://file.open.com.cn/ItemDB/69249/7e24cece-7c91-46c6-9c32-06f4a9605925/20101111101028503.jpg" />
C. <img width="23" height="49" alt="" src="http://file.open.com.cn/ItemDB/69249/7e24cece-7c91-46c6-9c32-06f4a9605925/20101111101036581.jpg" />
D. <img width="27" height="53" alt="" src="http://file.open.com.cn/ItemDB/69249/7e24cece-7c91-46c6-9c32-06f4a9605925/20101111101047144.jpg" />
46. 一部文集,按顺序排放在书架的同层上,则各卷自左到右或自右到左卷号恰好为1、2、3、4顺序的概率等于() (满分:2)
A. <img width="21" height="44" alt="" src="http://file.open.com.cn/ItemDB/69249/d400c358-ba2a-4aeb-b1e2-b31ef9b93747/20101111101635941.jpg" />
B. <img width="20" height="45" alt="" src="http://file.open.com.cn/ItemDB/69249/d400c358-ba2a-4aeb-b1e2-b31ef9b93747/20101111101651458.jpg" />
C. <img width="25" height="48" alt="" src="http://file.open.com.cn/ItemDB/69249/d400c358-ba2a-4aeb-b1e2-b31ef9b93747/20101111101659177.jpg" />
D. <img width="27" height="50" alt="" src="http://file.open.com.cn/ItemDB/69249/d400c358-ba2a-4aeb-b1e2-b31ef9b93747/2010111110179240.jpg" />
二、多选题:
1. 已知随机变量X与Y的分布,就可以唯一地确定二元随机变量(X,Y)的分布。 (满分:2)
A. 错误
B. 正确
2. 假设Φ(x)是标准正态分布N (0,1)的分布函数,则Φ(x) =Φ(- x) (满分:2)
A. 错误
B. 正确
3. 必然事件与任何事件独立。 (满分:2)
A. 错误
B. 正确
4. P(A∪B∪C)= P(A) + P(B) + P(C) - P(AB) - P(AC) - P(BC) + P(ABC) (满分:2)
A. 错误
B. 正确
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