9.1. (X,Y) R: + = 1, - = 1, + = -1, - = 1. X Y.
9.2. (0,1) . X . X Y=|A-X| X?
9.3 X ()=1, D(x)=l. Y Z X : . Cov(y,z).
9.4. . =0.9. X - , Y - . X Y.
9.5. X Y Y=7X+2. X Y.
9.6. , X, Y Z . , X, Y Z . V=X+Z W=Y+Z.
9.7. X (-1,1), (m - ). X Y. m. m=2.
9.8. (X,Y), , :
. X.
9.9. (X,Y) , =0, Y=0, X+Y=2. X Y.
9.10. (0,1). . Y.
9.11. (X,Y) 6 (0,1). X Y.
9.12. (X,Y)
.
9.13. (X,Y)
X Y.
9.14. (X,Y) . (X,Y) .
9.15. X Y:
X Y.
9.16. X Y : . .
9.17. (n>m) , . :
|
|
, n=50, m=20.
9.18. (X,Y) R . : X Y.
9.19. (X,Y)
X Y.
9.20 (X,Y)
X Y.
9.21. (X,Y)
X Y.
9.22. . , , 1.2, - 1.1. 0.3. , (+) .
9.23. 3%, - 4%. 95%. .
9.24. 6%; 4% , , 1% . .
9.25. Z
Z==X+Y. ()=1, M(Y)=2, D(X)=0.01, D(Y)=4, . .
8.26. (X,Y). M(X)=M(Y)=0, D(X)=100, D(Y)=25, cov(X,Y)=16. , . .
8.27. 0.4. (/), 0.7.
8.28. X Y
1/4 | 1/8 | 1/8 | |
1/8 | 1/16 | 1/16 | |
1/8 | 1/16 | 1/16 |
X Y.
9.29. 100 , 25 - . . - , i-o (i=l,2). .
8.30. .