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(完整word版)大学概率论与数理统计复习资料.pdf

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1、第一章随机事件及其概率知识点：概率的性质事件运算古典概率事件的独立性条件概率全概率与贝叶斯公式常用公式)()()()()()2(加法定理ABPBPAPBAP),()()(2111有限可加性两两互斥设nniiniiAAAAPAP),(0)()()()()(互不相容时独立时与BAABPBABPAPABP)()()()()5(ABPAPBAPBAP)()()()()(时当ABBPAPBAPBAP)0(,()()/()()()6(211inniiiAPAAAABPAPBP且的一个划分为其中全概率公式),()(11)(2111相互独立时nniiniiAAAAPAP)/()()/()()()4(BAPBP

2、ABPAPABP)(/)()/()3(APABPABP)()/()()/()()/()7(1逆概率公式niiiiiiABPAPABPAPBAP)(/)()(/)()1(SLALAPnrAP应用举例1、已知事件,A B满足)()(BAPABP，且6.0)(AP，则)(BP（）。2、已知事件,A B相互独立，,)(kAP6.0)(,2.0)(BAPBP，则k（）。3、已知事件,A B互不相容，,3.0)(AP)(,5.0)(BAPBP则（）。4、若,3.0)(AP)(,5.0)(,4.0)(BABPBAPBP（）。5、,A B C是三个随机事件，CB，事件ACB与A的关系是（）。6、5 张数字卡片

3、上分别写着1，2，3，4，5，从中任取 3 张，排成 3 位数，则排成3 位奇数的概率是（）。7、某人下午5:00 下班。他所积累的资料表明：到家时间5:305:40 5:405:50 5:506:00 6:00以后乘地铁0.3 0.4 0.2 0.1 乘汽车0.2 0.3 0.4 0.1 某日他抛一枚硬币决定乘地铁还是乘汽车。（1）试求他在5:405:50 到家的概率；（2）结果他是5:47 到家的。试求他是乘地铁回家的概率。解（1）设1A=他是乘地铁回家的，2A=他是乘汽车回家的，iB=第i段时间到家的，4,3,2,1i分别对应时间段5:305:40，5:405:5

4、0，5:506:00，6:00 以后则由全概率公式有)|()()|()()(2221212ABPAPABPAPBP由上表可知4.0)|(12ABP，3.0)|(22ABP，5.0)()(21APAP35.05.03.04.05.0)(2BP（2）由贝叶斯公式7435.04.05.0)()()|(22121BPBAPBAP8、盒中 12 个新乒乓球，每次比赛从中任取3 个来用，比赛后仍放回盒中，求：第三次比赛时取到3 个新球的概率。看作业习题1:4,9,11,15,16 文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6

5、Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A

6、8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC

7、5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4

8、B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O

9、1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:

10、CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 H

11、M4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8第二章随机变量及其分布知识点：连续型（离散型）随机变量分布的性质连续型（离散型）随机变量分布（包括随机变量函数的分布）常用分布重要内容）（Rxxf0)()()()(12121xFxFxxxF单调递增，即）（1)(lim)(0)(lim)(2xFFxFFxx）（)()0()(3xFxFxF右连续，即）（RxxF10)4(）（1iip2分布律的性质.)2,1(,10ipi1.分布函数的性质（

12、1）非负性（2）规范性3.分布密度函数的性质1)(dxxf（1）非负性（2）规范性文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N

13、7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8

14、Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10

15、I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L

16、4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5

17、U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F

18、10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I84.概率计算5.常用分布）（或泊松分布PXX)()0,.;1,0(,!)(kekkXPk1221()()()P xXxP XxP Xx)()(aFaXP)0()()(aFaFaXP2

19、1)()(21xxdxxfxXxP0)0()()(aFaFaXPadxxfXaP)()(adxxfaXP)()(为连续型随机变量：X),(,pnbXpnBX）或（记为二项分布:),.1,0(,)(nkqpCkXPknkkn条件：较大且很小泊松定理)(,!)1(npekppCkknkkn文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1

20、A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:C

21、C5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM

22、4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1

23、O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码

24、:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5

25、HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 Z

26、H1O1A8F10I8，其他均匀分布0,1)(),(bxaabxfbaUX，其他指数分布0)0(,0,)()(xexfEXx),(,21)(),(222)(2xexfNXx正态分布xxF)(5.0)0()1()(1)()2(xx73.993|%45.952|%27.681|XPXPXP文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1

27、A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:C

28、C5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM

29、4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1

30、O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码

31、:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5

32、HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 Z

33、H1O1A8F10I8应用举例1、设2()(0)xf xkex是某随机变量的密度函数，则k（）。2、设随机变量X的概率密度为)22(,cos21)(xxxf，则)01(XP（）。3、设随机变量X的分布函数为.,1,1,ln,1,0)(exexxxxF则)2(XP=（）。4、设),(2NX,满足)1()1(XPXP的参数（）。5、离散型随机变量X的分布律为1 1()(1,2,3)!P Xkkc k，则c=（）。6、土地粮食亩产量（单位：kg）)60,360(2NX.按亩产量高低将土地分成等级.若亩产量高于420kg 为一级，在 360420kg间为二级，在 315360kg 间为三等，低于 31

34、5kg 为四级.求等级Y的概率分布。(5.0)0(,8413.0)1(,7734.0)75.0()解3154360315342036024201XXXXY7、110 在长度为t的时间(单位：h)间隔内收到的紧急呼救的次数X服从参数为t21的泊松分布,而与时间间隔的起点无关.求某一天中午12 时至下午 3 时至少收到1 次呼救的概率。解X的分布律为),2,1,0(!)2()(2kktekXPkt中午 12 时到下午 3 时，表明3t求)1(XP文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8

35、F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5

36、G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B

37、6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1

38、A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:C

39、C5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM

40、4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1

41、O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I88、一批产品由8 件正品、2 件次品组成。若随机地从中每次抽取一件产品后，无论抽出的是正品还是次品总用一件正品放回去，直到取到正品为止，求抽取次数X的分布律。解X所有可能的取值为1,2,3 iA=第i次取到正品（3,2,1i）看作业习题2:4，7,17，20，24，26,27，28 文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8

42、Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10

43、I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L

44、4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5

45、U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F

46、10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G

47、8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6

48、Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8第三章多维随机变量及其分布知识点：二维连续型（离散型）随机变量分布的性质二维连续型（离散型）随机变量的分布（包括边际分布）随机变量的独立性二维常用分布内容提要1.概率分布的性质2.二维概率计算3.边际密度函数计算4.常用分布,2,1,0jipij离散型非负性111ijijp归一性1),(dxdyyxf连续型归一性;),()(dyyxfxfXdxyxfyfY),()(,)(,)GPX YGf x

49、y dxdy其他），（），（均匀分布01DyxAyxf文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q

50、1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I8文档编码:CC5G8L4N7Y5 HM4B6Z5U8Q1 ZH1O1A8F10I

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