.
.
.
.
(), , , , . . , , , , .
, , ( ) , () , .
() , .
n X = xi pi; , - ( ).
- . (. 6.1), N .
. 6.1.
xi pi . , 1/6,
6.1
xi | 1 | 2 | 3 | 4 | 5 | 6 |
pi | 1/6 | 1/6 | 1/6 | 1/6 | 1/6 | 1/6 |
, - , : , , ?.
. : , , ()
? , , , .
P (X = xi) - ( ), X (-∞, x),
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P (X < x) = F (x). (6.1)
.
F(x) x (, . .) x (. 6.2). X .
. 6.2. F (x)
F(x) dx:
P(x < X < x +dx) = F(x+dx) - F(x). (6.2)
: .
P(X < x + dx) = P(X < x) + P(x < X < x + dx). (6.3)
(x, x + dx) dx .
. (6.4)
f(x) ( ). , .