概率论与数理统计_齐民友_课后答案[1-8章]_

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1、151111{0,1,2,3}22{1,2,}{n/n}2233{(x,y)

2、xy1}44{x0x2}55{2,3,4,,12}77{0,1,2,}6{(x,y,z)

3、xyz1,x0,y0,z0}621ABC2A(BC)3ABC4ABCABCABC5ABBCAC6ABCABC3P(AB)P(AB)1P(AB)1zP(AB)P(BAB)P(B)P(AB)yzP(AB)P(A)P(B)P(AB)1xy(yz)1xzP(AB)P(AB)1P(AB)1[(PA)P(B)P(AB)]1xyz4P(AB)P(AAB)P(A)(PAB)P(A)[(PA)P(B

4、)P(AB)]P(AB)PB()0.60.30.35P(AB)1P(AB)1P(A(AB))1P(A)P(AB)10.70.30.66P(ABC)P(ABC)1P(ABC)1[(PA)P(B)P(C)P(AB)P(AC)P(BC)P(ABC)]11111171(00)44499367P(ABC)P(A)P(B)P(C)P(AB)P(AC)P(BC)P(ABC)11115000444888(AB)(AB)(AB)(AB)(AAB)(AAB)BBP{(AB)(AB)(AB)((AB)}P()09741SCIENCE121211147!12601012

5、121111211121211611ABP(AB

6、AB)P(AB(AB))P(AB)P(AB

7、AB)P(AB)P(AB)43464643P(AB)P(AB)109109431P(AB

8、AB)46464352112CCC4462C41522C41C2C1C1544612(x,y)2{(x,y)

9、0y2axx}0xA42A{(x,y)

10、0y2axx,yx}121212SaASAaa2421212aa422P(A)122a213xy{(x,y)

11、0x24,0y24}AA{(x,y)

12、2xy1,(x,y)}22122S24ASA24(2322)2SAP(

13、A)0.12112S14ABCx,y,2xy{(x,y)

14、0x2,0y2,02(xy)2}ABCABCAA{(x,y)

15、0x2,0y,02(xy),(x,y)}1212S(2)ASA221221P(A)124(2)21111510.30.20.10.400.15431210.34120.15216ABCP(AC)P(AAC)P(A)0.62P(A

16、C)P(C)1P(C)1P(C)10.13ACAC170.010.630.010.60.020.4718P(ABC)P(A)P(B)P(C)P(AB)P(AC)P(BC)P(ABC)153293P(A)

17、3[P(A)]1621316[P(A)]16P(A)30P(A)P(A)441P(A)4119P(AB)P(AB)P(AB)9P(AB)P(AB)P(AAB)P(BAB)P(A)P(AB)P(B)P(AB)P(A)P(B)11P(AB)P(A)P(B)P(A)932P(A)1P(A)320P4801(1P)812P321P(A)P41(1P)0.5955904P0.2A122CP(1P)30.20.80.38431111211CCCmmMm2Cm2Cmm1C2C1C12Mm1mmMm2112CCCMmmMm11CMmCm11CMmCm2mC2C1

18、C1Mm1MmmMm2115141815145151455151418181855182120191815145154151453520191822832019185191851918120191841512043ABi(i1,2)i1101181P(B1)P(B1

19、A)P(A)P(B1

20、A)P(A)0.41523022109118171P(B1B2)P(B1B2

21、A)P(A)P(B1B2

22、A)P(A)5049230292109118171P(B1B2)5049230292P(B2

23、B1)0.4856P(B1)0.44A1B2P(B)P(B

24、A)

25、P(A)P(B

26、A)P(A)2111n1n(n1)n1nnnn2(n1)5AkkBP(B)P(B

27、Ak)P(Ak)k0P0P(B

28、Ak)P(Ak)k1kkP0(0.5)(0.5)Pkk1kP020.5Pkk16ABP(A)P(A

29、B)0.0050.95P(A

30、B)0.3231P(A)P(B

31、A)P(A)P(B

32、A)0.0050.950.9950.017DP(A

33、D),P(B

34、D),P(C

35、D)P(D

36、A)0.8,P(D

37、B)0.2,P(D

38、C)0.210.864P(A

39、D)11190.80.20.26322P(B

40、D)91P(C

41、D)315542

42、1,,9938Ai(i1,2,3)Bi(i0,1,2,3)iCP(B0)P(A1A2A3)P(A1)P(A2)P(A3)0.60.50.