2017届高考数学一轮复习第十二章概率与统计12.3二项分布及其应用、正态分布课时练理.doc

1、 1 2017 12.3 45 0.8 4 3 ( ) A 0.85 B 0.8192 C 0.8 D 0.75 B 4 X B(4,0.8) P(X C 3 4 3 C 4 4 4 0.8192 B. 2 3 7 1 2 ( ) A. 3 10B. 2 9C. 7 8D. 7 9 D A 1 B 2 P(A) 3 10 P(AB) 3 10 7 9 7 30 . P(B|A) P AB P A 7 30 3 10 7 9 . 3 x N(4 2 ) P(x2) 0.6 P(x6) ( ) A 0.4 B 0.3 C 0.2 D 0.1 A P(x2) 0.6 P(x6) P(x4) 1 P(

2、 4) 1 2 (1 0.2 0.2) 0.3. 4 A A 1 65 81 A 1 ( ) A. 1 3B. 2 5C. 5 6D. 3 4 A A 1 p 1 C 0 4p 0 (1 p) 4 65 81 1 p 2 3 p 1 3 . 6 N(3,7) P( a 2) P( a 2) P( a 2) a 2 a 2 2 3a 3. 7 1 0.6 2 0.3 1 ( ) A 0.3 B 0.5 C 0.6 D 1 B A 1 B 2 3 P(A) 0.6 P(B) 0.3. B A P(AB) P(B) 0.3 P(B|A) P AB P A 0.3 0.6 0.5. 8 ( ) X N

3、(50,10 2 ) (30,70) _ 0.9544 X N(50,10 2 ) 50 10. P(30X70) P( 2 X 2 ) 0.9544. 9 6 _ 11 32 4 5 6 P C 4 6 1 2 6 C 5 6 1 2 6 C 6 6 1 2 6 11 32 . 10 1 3 1 2 2 3 _ 7 18 A B C A B C P(A) 1 3 P(B) 1 2 P(C) 2 3 (A BC) (AB C) (ABC ) P 1 1 3 1 2 2 3 1 3 1 1 2 2 3 1 3 1 2 1 2 3 7 18 . 11 3 1 3 1 2 (1) (2) Ak Bk

4、 k P(Ak) 1 3 P(Bk) 1 2 (k 1,2,3) (1) C 4 P(C) P(A1) P( A1 B1 A2) P( A1 B1 A2 B2 A3) P(A1) P( A1 )P( B1 )P(A2) P( A1 )P( B1 )P( A2 B2 )P(A3) 1 3 2 3 1 2 1 3 2 3 2 1 2 2 1 3 1 3 1 9 1 27 13 27 . 1,2,3 1) P(A1) P( A1 B1) 1 3 2 3 1 2 2 3 2) P( A1 B1 A2) P( A1 B1 A2 B2) 2 3 1 2 1 3 2 3 2 1 2 2 2 9 3) P(

5、A1 B1 A2 B2 ) 2 3 2 1 2 2 1 9 . 1 2 3 P 2 32 91 9 2 3 2 9 1 9 13 9 . 12 4 1 3 . 3 (1) X X (2) 2 A 1 2 P(A) (1) X B 4 1 3 P(X 0) C 0 4 1 3 0 1 1 3 4 16 81 P(X 1) C 1 4 1 3 1 1 1 3 3 32 81 P(X 2) C 2 4 1 3 2 1 1 3 2 24 81 P(X 3) C 3 4 1 3 3 1 1 3 1 8 81 P(X 4) C 4 4 1 3 4 1 1 3 0 1 81 . X X 0 1 2 3 4

6、P 16 8132 8124 818 811 815 (2) Ai i i 1,2.Bi i i 1,2. P(A1) P(B1) 0.1 P(A2) P(B2) 0.3 A A1 B1 A1 B1 A1B1 A2B2 P(A) P(A1 B1 ) P( A1 B1) P(A1B1) P(A2B2) P(A1)P( B1 ) P( A1 )P(B1) P(A1)P(B1) P(A2)P(B2) 0.28. 1 3 A B. A 3 10 B 2 5 ( ) A. 11 30B. 7 30C. 7 10D. 1 10 A A 1 3 3 10 1 10 B 1 1 3 2 5 4 15 1 10

7、 4 15 11 30 . 14 10 8 2 2 2 2 _ 15 28 2 A 2 B P(B|A) P AB P A C 2 8 2 6 C 2 8 2 8 15 28 2 2 15 28 . 15 X N(10,1) P x10) a a 1 4 1 9 1 x dx _. 1 66 1 4 1 9 1 x dx 2x 1 2 1 4 1 9 2 1 2 1 3 1 3 1 2a 2 1 2 1 3 1 6 . 22,23,24 5 1 3 (1) (2) 23 (1) A1 22 A2 23 A3 24 B1 22 B2 23 B3 24 A1B1 A2B2 A3B3 A1 B1 A2 B2 A3 B3 P(A1B1 A2B2 A3B3) P(A1)P(B1) P(A2)P(B2) P(A3)P(B3) 1 9 1 3 . 0,1,2,3,4,5 B 5 1 3 . k) C k 5 1 3 k 2 3 5 k C k 5 2 5 k 3 5 k 0,1,2,3,4,5. 0 1 2 3 4 5 P 32 24380 24380 24340 24310 2431 243 np 1 3 5 3 .