2009考研数学强化ç

2009考研数学强化ç

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Unformatted text preview: www.etsinghua.org 010-62701055/82378805 B 503 15+8 14+7 16+12 19+6 9+1 8+3 14+5 95+42 1 1.1 A 45% A B 10% A C 8% A B C 3% A = 1 www.etsinghua.org 010-62701055/82378805 B 503 0.3 1.2 X,Y , ) , ( 2 σ N 3 1 ) , ( = > ≤ Y X P ) , ( < > Y X P = 3 1 1.3 230 7 8 20 , p =_______ 5/9 ¡ 1 2 1 ______ 3/4 1.4 231 r ∈ 2 n a b 1 2 n 1 2 n 1 2 2 n n 1.1 b a , ) 2 ( n n r r − n n r r ) 2 ( − 1.5 232 ( ). A = ∪ ∪ ∪ ∪ )} )( )( )( {( B A B A B A B A P B 1 } { = ∪ ∪ ∪ B A B A B A AB P C ) ( ) ( C B A P BC A P = ∪ ; D ) ( ) ( ) ( B P B A P B A P − ∪ = . C 1.6 A , B , C , A 1 ) ( ) ( ) ( − + ≤ B P A P C P B 1 ) ( ) ( ) ( − + ≥ B P A P C P C ) ( ) ( AB P C P = D ) ( ) ( B A P C P U = 2 www.etsinghua.org 010-62701055/82378805 B 503 1.7 233 ( ) ( ) ( ) 3 2 , 4 1 | | = = = A P A B P B A P . C A A B , = 5/12; B A B , P ( A ) = P ( B ) ; ( B A P ∪ ) C A B , ( ) B A P ∪ = 7/12 ; D A B , ( ) ( ) B A P B A P | | = . 1.8 234 A , ( ) B (A) , . (B) / ≠ AB B A , / ≠ AB , . B A , (C) , . (D) / = AB B A , / = AB , . B A , B 1.9 235* 3 , 2 , 1 , = i A i , 3 , 2 , 1 , 1 1 = ⎩ ⎨ ⎧ − = i A X i i ( ) (A) ; (B) ; 3 2 1 A A A 2 / ) 1 ( 2 / ) 1 ( 3 1 − + X X (C) A 1 A 2 A 1 A 3 ; (D) B 3 2 1 X X X + 1.9 : ¡ , C B A , , 1 ) ( < < C P ( ) (A) B A ∪ C ; (B) AC C ; (C) B A − C ; (D) AB C B ¡ : { } = 1 A , 3 www.etsinghua.org 010-62701055/82378805 B 503 { } = 2 A , { } = 3 A , { } = 4 A , ( ) (A) (B) 3 2 1 , , A A A 4 3 2 , , A A A (C) (D) C 3 2 1 , , A A A 4 3 2 , , A A A 1.10(236-1) A , B , A 1, : ( ) ( ) A B P A B P = A B 1.11(237 (P ó lya ) ) r b c n n r /( r + b ) p n 1.12 238-1 . 30 50 20 2 1 1 . (1) . (2) . (1) 0.013 (2) 0.4615. 1.13 238 10 15 25 3 7 5 p , q (1)29/90 (2)20/61 1.14 1,2,3,4 X, Y , X , , 2 , 1 L } 2 { = Y P 4 www.etsinghua.org 010-62701055/82378805 B 503 13/48 1.15 } , , 2 , 1 { N L 1/2 2 1 , X X ) ( 1 2 X X P > 1. 2006 X Y [ ] 0,3 { } { } max , 1 P X Y ≤ = . 1/9 2. 2007 1 2 1 ______ 3/4 3. 2007 4 2 ( ) ) 1 ( < < p p (A) (B) 2 ) 1 ( 3 p p − 2 ) 1 ( 6 p p − (C) (D) C 2 2 ) 1 ( 3 p p − 2 2 ) 1 ( 6 p p − 4. 2005 1,2,3,4 X, Y, = X , , 2 , 1 L } 2 { = Y P . 13/48 5. 2006 , A B ( ) 0, ( | ) 1 P B P A B > = ) ) ) ) (A) (B) ( ) ( P A B P A ∪ > ( ) ( P A B P B ∪ > (C) (D) C ( ) ( P A B P A ∪ = ( ) ( P A B P B ∪ = 5 www.etsinghua.org 010-62701055/82378805 B 503 2 1 2 1 Poisson 3. . 4 . 5 2.1 240 X ⎪ ⎩ ⎪ ⎨ ⎧ ∈ ∈ = , ] 6 , 3 [ 9 / 2 ] 1 , [ 3 / 1 ) ( x x x f k , k _________. [1, 3] 3 / 2 ) ( = ≥ k X P 2.2 241 3 4 1 2 3 4 . X ) 3 ( = X P = , X E X = . 7/64; 25/16 2.3 X ) )( , ( 2 > σ σ µ N 6 www.etsinghua.org 010-62701055/82378805 B 503 4 2 = + + X y y 2 1 = µ . 4 2.4 243 F i X i ( x ) f i ( x ), i =1,2....
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This note was uploaded on 12/06/2011 for the course MATH Scatter taught by Professor Cheng during the Summer '10 term at Xiamen University.

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2009考研数学强化ç

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