X = X () , { X ≤ } . { X ≤ } . , X
= { X ≤ x }. (3)
:
a) 0 ≤ ≤ l, < x < ;
b) FX ( ) = 0, FX (+ ) = 1;
c) - ;
d) , . . = .
X (, ]
= . (4)
. . , , , (3), :
(5)
, < . , , . , .
, , , R
= { X ≤ } = . (6)
:
a) ≥ 0, < x < ;
b) =l ( );
c) = .
,
{ = } = = 0 x R.
, , .
- , (, ] (4), :
{ < ≤ } = . (7)
. . : , ,
{0< ≤ 1}.
◄ =l: = = = =1 . , .
(6): = = = = .
(7) {0< ≤ 1}:
{0< ≤ 1} = = = = =
= . (4): = =
= . ►