mx x (. . 25.2).
| |
. 25.2. |
σx x (, 1).
, , . σx (. . 25.3) x (, 1).
| |
. 25.3. |
, , . , . , . 25.4.
| |
. 25.4. (σx = 0). : x = mx 0 ( ) |
. σx, , , . .
, . . 25.5. F . , ∞ x. , F (170) = 0.5 : , 170 , 0.5 ( ).
| |
. 25.5. F(x) |
:
, , mx = 0 σx = 1. (x = 0, y = 0.5) ( ), F ( x) = 1 F (x), .
[ a; b ], :
X , mx:
, : P (| x mx | < 3 σ) = 2 F (3) 1 = 2 0.9987 1 = 0.9973 ( ). F (3) = 0.9987 .
|
|
. 15 , , m = 0 σ = 10 .
P (| x | < 15) = P (15 < x < 15) = F ((15 0)/10) F ((15 0)/10) = F (1.5) F (1.5) = F (1.5) (1
F (1.5)) = 2 F (1.5) 1 = 2 0.9332 1 = 0.8664. 8664 10000 15 .
2. () . X [ a, b ], , ..
: .
: .
: .
, [0, 1] 0 1. . , , , .
3.. () . X () λ >0, :
,..
: .
: .
.
4. ( ).
,
, , .
; .
5. , :
(70) .46 ( 1).
1 2 3 4 5 6
. 46. . 1 ; 2 .
, , () () . [. 6, 9 .]. . 58. , .
. 46, . , . , , v -> oo.
v =1. v (70) ( ):
v = u / s
, [6] u:
w(u) = [u/s2] exp (- u2 / 2s2 ) (70)
70.
P(u) = 1 exp (- u2 / 2s2) u >0
2.2.8.