12.

, , . , , , , 10 . 0 1 . ..., ~ 0.469 /. 1 . , . , 70- XX .

. . . , ...; [0,1], . . . , . . . , , . . , , -, . . 1, , , . . . ( ). , .

, . . . ( - ). , , , . . .

, , . , , .

. . . . X 0 1 2/3 1/3 . 0 [0,2/3], 1 [2/3,1]. . . . X,

!() = 3, = /3 = log2 3 - 2/3 0.9183 /.,

31 32 15 16 7 8 3 4 5 8 1 2 3 8 1 4

1[ 3, 1]

0[0, 2]

[ 9, 1]

[ 1,9 ]

01[4,1 ]

00[0, 4]

, 1]

110[8, ] 101[ , I ]

100[ 2,22 ]

011[ 16,3] 001[ 22, I ]

000[0, ^]

= 0. 11111 = 0. 1111 = 0. 111 = 0. 11 = 0. 101 = 0. 1 = 0. 011 = 0. 01

1

/22 22 22

2/ 2/

4 2

/22

/22 22 22 22

4/ 4/ 8/

0000

0001

010

001

011

100

101

11.

1 (X) = 65/81 ~ 0.8025 /. (),

1 (X) = 76/81 ~ 0.9383 /. ( ), 1 (X) = ) = 1 /. ().

, . , , - , .

.

1. . . . , , . , .

2. , . . 1.

► 20

. . ., , -, .

X1 I 1 2 3 4 X2 I 1 2 5 6 7

| 1/3 1/3 1/6 1/6, | 0.2 0.1 0.3 0.25 0.15,

X3 I 1 4 9 16 25 36 49 | 0.1 0.1 0.1 0.3 0.1 0.1 0.2,

X4 I -2 -10 1 2 | 1/3 1/4 1/5 1/6 1/20.

► 21

, . . . X (X = ) = 1/3, (X = ) = 2/3.

► 22

, . . . X (X = ) = 1/4, (X = ) = 1/2, (X = ) = 1/4. , X (X = ) = 1/3, (X = ) = 7/15, (X = ) = 1/5?

► 23

. . . X . 4 X . . . X X. XX? . . ., X ?

► 24

, ( 2 3) , .

..., , .