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62n(A) = ( 4 −1)!× 2!= 12n(A)P(A) =n(S)=1224=125 ! =120. 1 (16. 2 (17. 1 (18P( 11) = ×2251+ ×249=210 2+2918 + 20= =903890=19<strong>45</strong>. 2 (19P ( 1 P(A U B) = P(A) + P(B) − P(A I B)P(A) ⋅ P(B) = 0/3 × 0/5 = 0/15: . 1 (201 2×9=2 5=19 19<strong>45</strong>. 2 (21⇒ P(A I B) = P(A) + P(B) − P(A U B) = 0/5 + 0/3 −0/65 = 0/15. BA P(AI B) = P(A) ⋅ P(B) . 3 (22 1 2 3! . 3 ! × 4! 6 B 4P (1) P() =P () 3 . 4! 1 A 3 ⋅ )1 . 1 (23
63 P ( ) = P( )3 4 3 6 1P ( ) = P( ) + P ( ) = × + + =6 6 6 10 2. 3 (24P(A I B) = P(B) − P(A I B) = 0/3 −0/2 = 0/09P(A / B)P(A I B) 0/09= = = 0/3P(B) 0/3. . 2 (258 ⎛8⎞8!C3 = ⎜ ⎟ = = 56 . ⎝3⎠3!(8 − 3)!. . 4 (26C k N−K= x CP(x) n − xCN n⎛2⎞⎛7⎞⎜ ⎟⎜⎟2 0 1×1 1=⎝ ⎠⎝⎠= = =⎛9⎞9!9×8×7!⎜ ⎟⎝2⎠2!× 7!2×7!136. 2 (274 1P(B) = 1 − P(B)= 1−=5 5P(A I B)1 1 1P(A / B) = ⇒ P(A I B) = P(A / B) ⋅ P(B)= × =P(B)3 5 151 1 1 7P(AU B) = P(A) + P(B) − P(A I B)= + − =3 5 15 15. 4 (28P (E) = 1 − P(E) = 1−0/9 = 0/1P(F)= P(F I E) + P(F I E) = P(F/ E) ⋅ P(E) + P(F/ E) ⋅ P(E)⇒ 0 / 2 × 0/9 + 0/7 × 0/1 = 0/25. 1 (29
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: 611 81−= ⇒ k = 3 ⇒ µ − kδ
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 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
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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