高中数学第二章随机变量及其分布2.4正态分布课件新人教A版选修2_3

24 [] 1. () 2. () 3. ( ) [] 1 (1) (x) 1 2 x2 e 2 2 x() (>0) (x) (2) x x x 1 x ___2______ x 1 x 2 ab(a<b) X P(a<Xb)ba (x)dx X (normal distribution) N( 2) X XN( 2) 3 (1)P(<X)0.682 6 (2)P(2<X2)0.954 4 (3)P(3<X3)0.997 4 43 N( 2) X ( 3 3) [] 1() (1) y (x) x0 ( ) (2) N(34) 4.( ) (3) ( ) (1) x (2) 24>0 2. (3)(3) (1) (2) (3) 2 X N(2 2) P(X 2)( ) 1 1 1 1 A.5 B.4 C.3 D.2 X 2 P(X2)12. D 3 XN(31) P(X4)p P(2 X4)( ) A.12p B1p C12p D.12p XN(31) 3 P(3X4)12p P(2X4)2P(3X4)12p. C 4. P(x) 2 1 2 e x8 52(37]________ XN(54) 52 P(3X7)P(X)0.682 6. 0.682 6 5 N(29) P(c 1)P(c1) c________ P(c1)P(c 1)(c1)(c1)22 c2. 2 1 () [ 1] x x x x( ) x y x ( ) A B C D x x x A. A (1) x (2) x 12 (3) [] 4 1 2 . _______________________ y 0. 214 12 4. (x)4 12e 3x22 x() (x)4 12ex322x() 2 [ 2] X N(2 2)(0) X (02) 0.2 (1)X (04) (2)P(X4) (1) XN(22) x2 P(0X2)P(2x4) P(0X4)2P(0X2)20.20.4. (2)P(X4)12[1P(0X4)]12(10.4)0.3. 1. x 1. 2 P(<X)P(2<X2) P(3<X3) 3 (1)P(X<a)1P(Xa) (2)P(X<a)P(Xa) 1Pb<X<b (3) b< P(X<b) 2 . [] N(01) P(1.96)0.025 P(||1.96) N(01) P( 1.96)1P(1.96) P(||1.96)P(1.96 1.96)P(1.96)P(1.96)12P(1.96) 12P(1.96)120.0250.950. 3 [ 3] X XN(90100) (1) X (70110) (2) 2 000 (80100) XN(90100) 90 10010. (1) X (22) 0.954 429021070 290210100 X (70110) 0.954 4. (2) 9010 80100. X () 0.682 6 X (80100) 0.682 6 (80100) 2 0000.682 61 365() ( )(22)(33) [] N(70102) 60 (1) (2) 8090 (1) XXN(70102) 7010. 6080 P(7010X7010)0.682 6 12(10.682 6)0.158 7. 15.87%. (2) 8090 1 2 [P(70 210 X70 210)] 1 2 [P(70 10 X7010)]12(0.954 40.682 6)0.135 9. 8090 13.59%. 1 X X 2 ()(22)(3 3) Tiffanya 16-year-old girlwas very shy.Last Septemberher best frien I was really sad the moment I heard the bad news and I didn't know what to do Tiffany recalled.I shut myself in my room for a whole week.It was then that my aunt took me to a sports club one Saturday and I saw so many young people playing different kinds of sports there.I signed up for a beginner's course in volleyball and since then I have been playing this sport.Now I practice twice a week there.It is wonderful playing sports in this club and I have made lots of friends as well. 2 The most basic aim of playing sports is that you can improve your health even if you are not very good at

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