1( = @ 1( > 2( > 3( 4( > 2( 45 % @ @ > > > @ > > = > 1( 180 2( 162 3 ...

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88f (x,θ) =nθn− ∑ x i1θne−θ∑xi⇒ Lnf (x,θ) = nLnθ − θ∑xin= 0⇒n − θ∑x i1n 1= 0⇒θˆ = ⇒ θˆ =∑ xi xθLnf (x,θ)dθ=n = 5 ,X = 5,K= 7,N = 10 . (1⎛7⎞⎛3⎞7!3!⎜ ⎟⎜⎟ ×CkCN−K5 0 5 7 − 5 0 3 −01= − ⎝ ⎠⎝⎠ !( )! !( )!P(x) x n x = ==CN ⎛10⎞10!12n ⎜ ⎟⎝5⎠5!(10−5)!k 7µ = E(x) = n = 5×= 3 / 5N 102k N − k N − n 7 10−7 10−5δ = Var(x) = n ⋅ ⋅ = 5×× × = 0/58N N N −110 10 10−1
89 P( − a < z < a)0/921=2(4 6 100 a 6 100 (21(32 1/96(2 Z (10/ 68 (1X (2X −100 6 1 (11001 (4 1 (36 . 25 5 (3. δP ( −a< Z < 11 (4 5 (3(25= 1 µ =10 0 /68260 /6836(4(40/8413 (30/8413 (3a) P(Z < −a)34 3=8 0/9587 (2P(X> 9)0/9587 (225X(1X (4P(9 < X < 11)0/3413 (1,4 (50/3264 (1 Z (6 13(4(3(248Z 1 P (Z ≤ Z1 ) = 0/65(2P (Z ≥ Z1 ) = 0/555(18Z (1(7
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 and 28: 69 1000 δx= 2µx 770
Page 29 and 30: 71Var(y) = a2Var(x) = ( −2)2× 1/
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: 87f (x) =1µ = δ =λ . .
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
Page 79 and 80: 121 82-8383 60: ( ) 20:
Page 81 and 82: 123 13 (141Lnλ2(42Lnλ(31
Page 83 and 84: 125 . 4 (10 37374
Page 85 and 86: 127 84-85 60: ( ) 20: .
Page 87 and 88: 1291f (x) =θ (44X، 0< x < θ(4
Page 89 and 90: 131Cov(x, y)= E(xy) − E(x)E(y) =
Page 91 and 92: 133 711E(X / Y = 1)1520(4(4 f (x,
Page 93 and 94: 135 . 225 µ X (18%95
Page 95 and 96: 137 . 380 34-1 (40/75 (4n 2 n
Page 97 and 98:
139f (x / y) =fx (x) =fy (y) =3 x23
Page 99 and 100:
141x-2-10210y413-1-25 . 2 (23.
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1( = @ 1( > 2( > 3( 4( > 2( 45 % @ @ > > > @ > > = > 1( 180 2( 162 3 ...

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