《概率统计》练习题及参考答案

(B)

?1?k?1. p{X?kX?Y?n}?Cn???????2??1?2y7?,0?y?12. f(yx)??1?x4,.

15?其它?0,3. 37件.

k??2????????2??1n?k,k?0,1,?,n.

?32??z,0?z?14.(1),(2)fZ(z)??2.

3?其它?0,5.

z?0?0,?z2,0?z?1??2(1)FZ(z)??2z?2z?1?,1?z?2?2?z?2?1,?z,0?z?1?, fZ(z)??2?z,1?z?2;

?0,其它?z?0z?0?0,?0,???z?z(2)FZ(z)??z?e?1,0?z?1,fZ(z)??1?e,0?z?1.

?1?(e?1)e?z,z?1?(e?1)e?z,z?1??6. fZ(z)?fW(h(z))h?(z)?fW(z)?ze7. fW(w)?2[1?F(w)]?f(w).

2?z22.

1;(2)他有区分的能力. 702k?1218389.(1)p{X?k}?()(1?),k?1,2,?;(2)p{Y?i}?,i?1,2,3;(3),.

33327818.(1)

习题三 (A)

23572922,. 2.(1)1 ;(2)0;(3),, . 33246363113173. 6,52. 4. 4,18 5. ,,?.

8844116. 2,. 7. . 8. 0 9.?,0,.

362?1.,

13 29

10.44. 11.(1)

3929,;(2),.

51002412. p{X??1}?0.4,p{X?0}?0.1,p{X?1}?0.5. 13.?/? ;?/?2

14.0.2 15.7.8 16.

?2?,

4??2? 17. 1.04,0.62,1.14. 2?21?118. (1)2,0;(2)(3)5 . 19. ?;?1,??3,???1. 20..

2415221.

43116,,,. 22. 10,0 . 55215(B)

1. 10分25秒. 2. 0.6,0.46 . 3. (1)-0.15,-0.36;(2)??0.15??0.9. ???0.150.25?1m?4n?1n2?19?4. n?1?(1?)?. 5. n,,. n. 6.

n?125225??2??27711527.,,?,?,. 8. 2 9. ,0 ,0.

???26636311910.(1)

12348,2,,;(2),0.574. 11. 不相关,不独立. 749563习题四 (A)

1.. 2.

1981. 3.0.975 . 4.. 9125. 0.997 . 6.(1)0.0174;(2)0.2545. 7. 0.323 . 8. 12655片.

9.104 . 10. 0.1802 . 11. (1) 0.1587;(2)1809900. 12.0.9164. 13.142. 14. 0.2119. 15. (1)0.087;(2)0.912 16. 16次. 17.0.9525 .

(B)

1. 0.4714.

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