, . D ᒺ Q , . ³ CD (.2.2.). , ( ) . CD, . :
(2.4)
la = ½ CD ½ - Q , .
ᒺ . , . (, , ). ( ).
. , . , .
ABCD, , ᒺ Q (. 2.3). - ABCD. Q , ᒺ SQ S :
(2.5)
. 2.3. '
Q ABCD , ABCD , Q. Q, (Q2 B DCEF, Q2 B CKME . 2.3) ABCD, (. 2.3). Q SQ ABCD S.
P 1 (A) = S1/S;
-
P 2 (A) = S2/S; (2.6)
K -
P K (A) = SK/S,
S1, S2, SK , , , K .
( ), (12): g = 1/S (1/2).
, p ᒺ , p g.
h , ᒺ 1, , ᒺ .
.
, b:
2.1. (.2.4). :
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1) , l/3;
2) , 2l/3;
3) , l/3.
. 2.4. 2.1
.1. DA, l/3 (. . 2.4). , min (½OB½,½BA½) < l/3
P (A1) = (½OC½+½DA½) / l = 2/3.
1. , .. 1. , max (½OB½,½BA½) > l/3 P (A2) = 2/3.
2. . (3) = 1.
2.2. l . , , l/3.
. . , (.2.5 ). ()
()
: ½ - ½ < l/3.
:
x l/3 £ y £ x + l/3
. 2.5 . Q:
. 2.5. 2.2. ³
ײ Ҳ
2.3. . , ?
2.4. 200 . , , 20 .
³: 0,2.
2.5. 10 . , :
1) 6 ;
2) 2 6 .
³: 1) 0,6; 2) 0,4.
2.6. ̳ , . ³ . :
1) ;
2) , 2l/3, , ( );
3) , , ( )
³: 1) 0,2; 2) 1/3; 3) 5/6.
2.7. . ³ 2 . ᒺ , , , 50 .
1. ᒺ, 500 .
2. ᒺ , ᒺ ?
³: 1) 0,3; 2) l ³1900 .
2.8. l . :
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1) êê£l/4;
2) êê³l/4;
3) êOê+êê³l;
4) êO ê<êCA ê;
5) êO ê<êBCê;
6) êOBê<êBCê, , êBê<êOCê;
7) 0 , l /2.
³: 1) 7/16; 2) 9/16; 3) 0,5; 5) 0,25; 6) 0,5; 7) 0,75.
2.9. ᒺ , 500 . . , ᒺ 1.
³: 250 353,6 .
2.10. 500 . , ᒺ , 100 .
³: p/250,126.
2.11. ᒺ 100 800 . 200 ,
2 . ᒺ , :
1) ; 2) .
³: 1) 0,2; 2) 0,04375.
2.12. ᒺ L L/t, . ³ , . ᒺ , : 1) 2)
³: 1) 2) .
2.13. 1 . ᒺ 1,8 0,1 , . ᒺ . ᒺ:
1) ;
2) ;
3) ;
4) , , 0,5 , 0,5 .
5) h , , ᒺ ?
³: 1) 0,1; 2) 0,02; 3) 0,08; 4) 0,018; 5) 0,556>h>0,1 (); 1,8<a<10 (), ah=1.
²
.
3
ײ
, , .
I I
, , , , , , .
1,..., n ᒺ n , F(), n x F(x).
(1)£ (2)£... £ (n) , .
, 1/ n; , ;
º = ,
mn() - , . , n ¥
F(x) ( ).
ᒺ ; ᒺ - , ; , n, ; - ; , .
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: ( ), :
= , s2=
:
mk = ;
zp -
F(zp)=p,
z(p)=x([np]+1 ),
[n] n; (p = 0.5) - . , n ¥ F().
STATISTICA. .1. E(a) () , a).
3.1
¹ | n | a | ¹ | n | a | ||
R [0, 2] | 0.03 | N (1,4) | 0.01 | ||||
N (2, 0.25) | 0.02 | E (5) | 0.03 | ||||
E (3) | 0.01 | R [0.3] | 0.1 | ||||
R [1, 3] | 0.02 | N (1,4) | 0.3 | ||||
N (1, 1) | 0.01 | E (1) | 0.2 | ||||
E (2) | 0.03 | R [1,3] | 0.03 | ||||
R [2, 3] | 0.01 | N (1,1) | 0.02 | ||||
N (0, 4) | 0.03 | E (2) | 0.01 | ||||
E (3) | 0.02 | R [2,3] | 0.02 | ||||
R [0, 2] | 0.03 | N (2,1) | 0.01 | ||||
N [2, 1] | 0.02 | E (3) | 0.03 | ||||
E (4) | 0.01 | R [1,2] | 0.01 |
˲Ͳ
ϳ :
;
;
;
;
;
;
;
.
, , ᒺ n =50 5.
:
File - New Data - File Name: descript () - OK. -; : 10v * 10c - (10 (variables) - 10 (cases) - .
1´50:
Vars ( ) - Delete; Delete Variables: - : From variable: var 2, To variable: var 10 - OK - Cases - Add () - Add Cases: , : Number of Cases to Add: 40, Insert after Case: 1 () - OK.
:
- Var1 ( ) - Variable specs ( ) - Variable 1 Name x (), Long name , . Functions, Kategory Name Insert. , ,
=rnd(2) R [0, 2],
=Vnormal(rnd(1); 2; 0.5) N(2, s2=0.52),
=VExpon(rnd(1); 0.2) E(5) 1/0.2=5; ( l= 0.2 1/5).
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: , ( V) R [0, 1] (rnd(1)).
Print File.
:
Graphs - Custom Graphs ( ) - 2D graphs -. OK. (.3.1) .
3.1 , 5 (n = 50).