. Ÿ
.
x.- , F(x) = Fx (x) = P(x < x) x. P(x < x) - , x , x.
, : , .
:
F(x) R;
F(x) , .. x1 x2, F(x1) F(x2);
F(- )=0, F(+ )=1, .. ;
F(x) , ..
x - , x1 < x2 < < xi < p1 < p2 < < pi < ,
x1 | x2 | xi | ||
p1 | p2 | pi |
.
, ,
.
, , , , :
1/6 | 1/6 | 1/6 | 1/6 | 1/6 | 1/6 |
Fx (x) , x .
, px (x), Fx (x)
.
, , , .
x, Fx (x) x p, .. Fx (x) = p. ( x) .
xp (p-, p) , Fx (x), xp Fx (x) = p, p (0, 1). p Fx (x) = p , - . , , .
, , :
- 0.5;
- 0.25;
|
|
- 0.75;
- 0.1, 0.2, , 0.9;
- 0.01, 0.02, , 0.99.
, Fx (x) (a, b), P(a < x < b) = Fx (b) -Fx (a), :
-
- .
a= - , ,
b= , .