1( = @ 1( > 2( > 3( 4( > 2( 45 % @ @ > > > @ > > = > 1( 180 2( 162 3 ...
1( = @ 1( > 2( > 3( 4( > 2( 45 % @ @ > > > @ > > = > 1( 180 2( 162 3 ... 1( = @ 1( > 2( > 3( 4( > 2( 45 % @ @ > > > @ > > = > 1( 180 2( 162 3 ...
70XP(x)XP(x)X 2 P(x)−-1141414014002 3Var(x) =2[ ]9 ∑ X P(x) − E(x) = − ( )2 =x8 8 . 2 (13µ = E(x) = ∑ XP(x) =x 898−964. 1 (263=64. 4 (3Cov(x, y) −10r = = = −0/5δxδy4×5. . 4 (41 1 1∑ P(Xi) = 1 ⇒ P(X = 2)= 1−( + + ) =4 3 6µ = E(x) = XP(x) 5000 0/001 2000 0/003 1114∑ = × + × =x. 2 (5. 4 (6. . 3 (7µ = E(x) = ∑ XP(x) = 17xy = ax + b = 2 × 17 −1=331383838[ E(x) ]2= 8 − 2/521/75Var (x) = E(X2) −=218284813898. 1 (8. 2 (9
71Var(y) = a2Var(x) = ( −2)2× 1/75 = 7. 1 1S2= npq = 3×× =2 2 . . 3 (1034. 4 (1111 1 1 1∑ p(x) = 1 ⇒ + a + 1−2a+ = 1⇒+ = a ⇒ a =x 36 3 6 2. 4 (12E(x)= ∑xP(x) = 0×x18+ 1×38+ 2×38E( 2x+ 1)= 2E(x)+ 1=2×1/5 + 1=4 =1E(x2) =2∑ x P(x) = 0×+ 1×x8δ2E(x2x = ) −38+ 3 ×328[ E(x) ]2= 3 −1/52= 0/75V ( 2x+ 5 − 3 2 − 9)= 2V(x)= 2δ2f (x)=Cov(x, y)120−1 < x < 1 1 1 1 x21E(x) =1∫− 1 xdx = × − 1 =2 2 2 431 1E(x ) =3∫ x dx = 0−1238= Cov(x,x2) = E(X3) − E(x)E(x2)−12= = 1/583 1 24+ 4×+ 9×= = 38 8 81= 04. 1 (13. 1 (14. 4 (15. 1 (16
- Page 1 and 2: 43 (4 (3 (1 (2 (1
- Page 3 and 4: 45 20 100 (16( ) 150 -
- Page 5 and 6: 47 (2 (4 14 . . (2.
- Page 7 and 8: 49 . 2 (1α i= 360×
- Page 9 and 10: 51 n 100= = 502 2n− Fi −1m =2
- Page 11 and 12: 53fi= ( < < ) . (2( < < ) .
- Page 13 and 14: 55P(AU B)2 1P(B) = , P(A) =3 372(4(
- Page 15 and 16: 576! (44× ! 3!(3 . 3 ! × 2!
- Page 17 and 18: 59 4 3 . 21 (1
- Page 19 and 20: 611 81−= ⇒ k = 3 ⇒ µ − kδ
- Page 21 and 22: 63 P ( ) = P( )3 4 3 6 1P ( )
- Page 23 and 24: 65 4 1 33P(W 1 ) =7 3 2 4P(B1
- Page 25 and 26: 67X = xP (X =x) (435 (4 E (
- Page 27: 69 1000 δx= 2µx 770
- Page 31 and 32: 73xy012f (y) ( (11 2 3 6 x-18 8
- Page 33 and 34: 75 a . 3 (8:
- Page 35 and 36: 77 ⎛4⎞⎛66⎞⎛4⎞⎛66⎞
- Page 37 and 38: 797(49 ( E(X) = λ)100−1−e λ(4
- Page 39 and 40: 81 . . 3 (1λ x = δ
- Page 41 and 42: 83E(x) = np = 43 / 2Var(x) = npq =
- Page 43 and 44: 85e−λλxP(x) =X!P(X ≥ 2)= 1−
- Page 45 and 46: 87f (x) =1µ = δ =λ . .
- Page 47 and 48: 89 P( − a < z < a)0/921=2(4 6
- Page 49 and 50: 9122− (4(399 1818(40/6587 (
- Page 51 and 52: 93 1 3P ( −a< z < a) = 2 φ a
- Page 53 and 54: 95P − PP(P < 0/6)= P(Z < ) = P(Z
- Page 55 and 56: 97 X . δ = 2 µ =10 (1 (1
- Page 57 and 58: 99. (4 n1 + n2−2 (3 X
- Page 59 and 60: 101: P(X< 300): (4 E(Z4 )1(
- Page 61 and 62: 103 . 2 (7. 3 (8. 2 (9. 4 (
- Page 63 and 64: 105 f (x) =1b − a0a < x
- Page 65 and 66: 107 (4 (3 (2H 1 :
- Page 67 and 68: 1090/31250 (40/343 (3 . 100 0/
- Page 69 and 70: 111 . H 0 H 0 . 3 (1
- Page 71 and 72: 113 3 2 (4 Y = 3 +0/4X0〈r≤
- Page 73 and 74: 115 (4( r = 100r′)X(3 Y,Y( B = B
- Page 75 and 76: 117 . X y . r=1 .
- Page 77 and 78: 11921212102121012121212121212121012
71Var(y) = a2Var(x) = ( −2)2× 1/75 = 7. 1 1S2= npq = 3×× =2 2 . . 3 (1034. 4 (1111 1 1 1∑ p(x) = 1 ⇒ + a + 1−2a+ = 1⇒+ = a ⇒ a =x 36 3 6 2. 4 (12E(x)= ∑xP(x) = 0×x18+ 1×38+ 2×38E( 2x+ 1)= 2E(x)+ 1=2×1/5 + 1=4 =1E(x2) =2∑ x P(x) = 0×+ 1×x8δ2E(x2x = ) −38+ 3 ×328[ E(x) ]2= 3 −1/52= 0/75V ( 2x+ 5 − 3 2 − 9)= 2V(x)= 2δ2f (x)=Cov(x, y)120−1 < x < 1 1 1 1 x21E(x) =1∫− 1 xdx = × − 1 =2 2 2 431 1E(x ) =3∫ x dx = 0−1238= Cov(x,x2) = E(X3) − E(x)E(x2)−12= = 1/583 1 24+ 4×+ 9×= = 38 8 81= 04. 1 (13. 1 (14. 4 (15. 1 (16
Change language