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3.29

 

 

 

 

3.30

 

 

 

0.3

0.1

-0.1

-0.3

Y = 2X − 4.

 

0.25

0.5

0.75

Y = 2X + 6.

0.2

?

0.1

0.3

 

?

0.6

0.3

Задача 4. Определить при каком значении параметра C заданная функция f(x) является функцией плотности распределения случайной величины. Найти функцию распределения F (x), M(X), D(X), σ(X) и P (a < X < b). Построить графики функций f(x) и F (x).

4.1f(x) =

4.2f(x) =

4.3f(x) =

4.4f(x) =

4.5f(x) =

4.6f(x) =

4.7f(x) =

4.8f(x) =

4.9f(x) =

4.10f(x) =

{

Cex,

 

x 6 0;

 

a = −∞,

b = 1.

0,

 

 

x > 0.

 

{

C

 

 

x,

x

 

(0, π];

a = −π/2,

b = π/4.

0, sin

 

 

x

(0, π].

 

 

 

 

 

 

 

̸

 

 

{

C

 

 

x,

x

 

( π/2, π/2];

a = −π/4

b = π.

0, cos

 

x

(π/2, π/2].

 

 

 

 

 

 

 

̸ −

 

 

{

Cx3,

 

x

 

(0, 2];

a = 1,

b = 1.

0,

 

 

x

(0, 2].

 

 

 

 

 

̸

 

 

 

 

{

Cx5,

 

x

 

(0, 1];

a = 1,

b = 1/3.

0,

 

 

x

(0, 1].

 

 

 

 

 

̸

 

 

 

 

 

Cex,

 

x 6 0;

a = 1,

 

{ Ce−x, x > 0.

b = 2.

{

Cxe−x,

x > 0;

a = 1,

b = +∞.

0,

 

 

 

x < 0.

{

C x

 

 

2

,

 

x

(2, 3];

a = −∞,

b = 2.5.

0,(

2)

 

 

x

(2, 3].

 

 

 

 

 

 

 

 

 

̸

 

 

{

x

C,

x

 

(1, 2];

a = 1,

b = 3/2.

0,

 

 

 

x

(1, 2].

 

 

 

 

 

 

̸

 

 

 

{

C

 

2 x,

x

 

(0, π];

a = −π/2,

b = +∞.

0, sin

 

 

 

x

(0, π].

 

 

 

 

 

 

 

 

̸

 

 

61

4.11f(x) =

4.12f(x) =

4.13f(x) =

{

 

C

,

x

(1, 2];

 

 

 

 

0,x−1

 

 

x

(1, 2].

 

3

 

 

 

 

̸

 

 

 

 

 

 

 

 

0,

 

 

 

 

x 6 3;

{ Ce2(x−3), x > 3.

{

 

C

,

x > 3;

 

(x 2)6

0,

 

 

x 6 3.

4.14

f(x) = {

 

C

,

x > 2;

 

 

 

 

4

 

 

 

0,

 

|x| 6 2.

 

 

 

 

 

 

x

|

|

 

 

 

 

 

 

 

 

 

 

 

 

 

4.15

f(x) = {

C x

 

 

2

,

6 < x

7;

0,(

6)

 

x

(66, 7].

 

 

 

 

 

 

 

 

 

 

̸

 

4.16

f(x) = {

2C cos2 x,

 

x

< π/2;

0,

 

 

 

 

|x|

> π/2.

 

 

 

 

 

 

 

 

|

|

 

 

4.17

f(x) = {

0.5C cos 2x,

 

x < π/4;

0,

 

 

 

 

 

|x| > π/4.

 

 

 

 

 

 

 

 

 

|

|

 

 

f(x) = {

Cx4,

0 < x

 

6;

 

4.18

0,

 

 

x 6 0,6x > 6.

4.19

f(x) = {

 

C

,

x > 4;

 

 

 

 

3

 

 

 

 

x

x 6 4.

 

 

 

0,

 

 

 

 

 

f(x) = {

C

 

x ,

0 < x

2;

4.20

0,(2

 

)

x 6 0,6x > 2.

4.21

f(x) = {

 

C

,

x > 1;

 

 

 

 

4

 

 

 

 

x

x 6 1.

 

 

 

0,

 

 

 

 

 

f(x) = {

C

 

 

x,

0 < x

π/2;

4.22

0, sin 2

 

x 6 0,6x > π/2.

 

f(x) = {

Ce

8x, x > 0;

 

4.23

0,

 

 

x 6 0.

 

a = 0,

b = 1.5.

a = −∞,

b = 4.

a = −∞,

b = 4.

a = −∞,

b = 1.

a = −∞,

b = 6.5.

a = 0,

b = π/4.

a = −∞,

b = 0.

a = 5,

b = 12.

a = −∞,

b = 5.

a = 7,

b = 7.

a = 2,

b = 2.

a = 2,

b = π/6.

a = 1,

b = 8.

62

4.24f(x) =

4.25f(x) =

4.26f(x) =

4.27f(x) =

4.28f(x) =

4.29f(x) =

4.30f(x) =

{

xC1 , 1 < x < 2; 0, x 6 1, x > 2.

{

xC6 , x > 1; 0, x 6 1.

{

C, 0 < x 6 10; 0, x 6 0, x > 10.

{

Cx, 0 < x < 1; 0, x 6 0, x > 1.

{

xC4 , x < −1; 0, x > 1.

{

xC6 , |x| > 1; 0, |x| 6 1.

{

Cx2, 0 < x < 3; 0, x 6 0, x > 3.

a = 1.5, b = 8.

a = −∞, b = 1.

a = 5,

b = 15.

a = 2, b = 0.5.

a = 5, b = +∞.

a = 5, b = 5.

a = 2, b = +∞.

Задача 5. Случайная величина X распределена по нормальному закону с M(X) = m, D(X) = d. Найти P (α < X < β).

5.1

m = 1,

d = 9,

α = 0,

β = 2.

5.2

m = 0,

d = 16,

α = 1,

β = 3.

5.3

m = 1,

d = 4,

α = 2,

β = 3.

5.4

m = 2,

d = 25,

α = 3,

β = 5.

5.5

m = 0.5,

d = 1,

α = 0,

β = 1.5.

5.6

m = 2,

d = 9,

α = 3,

β = 0.

5.7

m = 3,

d = 4,

α = 2,

β = 5.

63

5.8

m = 1,

d = 16,

α = 1,

β = 2.

5.9

m = 2,

d = 25,

α = 0,

β = 4.

5.10

m = 4,

d = 1,

α = 2,

β = 4.5.

5.11

m = 2,

d = 9,

α = 3,

β = 1.

5.12

m = 0,

d = 4,

α = 1,

β = 1.

5.13

m = 1,

d = 0.25,

α = 0,

β = 1.

5.14m = 1, d = 0.04, α = 1.5, β = 0.8.

5.15m = 0.5, d = 0.16, α = 0.7, β = 0.2.

5.16

m = 0.4,

d = 0.09,

α = 0,

β = 0.6.

5.17

m = 3,

d = 0.01,

α = 2,

β = 3.05.

5.18

m = 2,

d = 0.04,

α = 3,

β = 1.9.

5.19

m = 1,

d = 0.64,

α = 0,

β = 0.9.

5.20

m = 5,

d = 0.49,

α = 4,

β = 5.2.

5.21

m = 3,

d = 0.16,

α = 2,

β = 3.2.

5.22

m = 4,

d = 4,

α = 3,

β = 4.5.

5.23

m = 1,

d = 0.04,

α = 1.5,

β = 0.9.

5.24

m = 2,

d = 0.16,

α = 3,

β = 1.8.

5.25

m = 1,

d = 4,

α = 0,

β = 2.4.

5.26

m = 3,

d = 0.09,

α = 2,

β = 3.1.

64

5.27

m = 0.4,

d = 9,

α = 0.5,

β = 5.

5.28

m = 0.7,

d = 0.09,

α = 0.6,

β = 0.9.

5.29

m = 0.8,

d = 16,

α = 0.7,

β = 1.

5.30

m = 0.2,

d = 25,

α = 0,

β = 0.2.

Задача 6. Даны результаты наблюдений случайной величины X. Разделив интервал значений X на десять равных частей, построить группировку, гистограмму, эмпирическую функцию распределения, найти оценки математического ожидания и дисперсии исследуемой случайной величины. На основе этих построений выдвинуть гипотезу о законе распределения X и на графике гистограммы изобразить выравнивающую кривую. На уровне значимости α = 0.02 по критерию Колмогорова установить согласие или несогласие выдвинутой гипотезы с результатами наблюдений.

6.119.3, 6.3, 23.1, 5.9, 0.4, 0.9, 7.4, 1.6, 21.0, 6.0, 3.8, 3.1, 6.4, 17.1, 3.3, 0.4, 0.5, 19.4, 19.1, 0.6, 2.8, 1.6, 0.2, 16.9, 11.1, 6.4, 5.1, 16.1, 5.1, 10.3, 11.3, 0.8, 9.4, 10.2, 3.0, 0.1, 7.1, 3.9, 8.4, 2.4, 8.7, 15.5, 4.5, 4.7, 20.6, 9.4, 23.5, 17.0, 4.5, 14.9, 8.4, 12.6, 13.6.

6.24.1, 13.3, 1.2, 1.9, 1.8, 1.7, 18.1, 14.3, 21.6, 7.7, 1.2, 0.5, 14.2, 5.6, 26.5, 5.5, 32.5, 6.7, 7.0, 3.0, 11.1, 10.0, 21.9, 9.1, 18.1, 10.6, 16.4, 6.6, 26.7, 31.0, 16.3, 28.5, 3.5, 12.2, 24.9, 4.6, 6.9, 9.0, 34.2, 27.5, 21.5, 0.4, 21.5, 28.9, 21.0, 22.1, 14.1, 8.8, 11.2, 15.6, 20.7, 20.8, 18.0, 9.6, 0.1, 15.7, 4.5, 1.1, 15.6, 9.7, 5.6, 14.8, 1.1, 27.5, 3.9, 11.7.

6.321.1 19.6 15.7 15.6 24.2 12.4 12.1 10.0 9.2 4.9 6.8 8.9 8.3 6.7 5.9 17.7 8.4 19.2

11.512.5 22.9 11.3 13.9 8.5 6.3 23.5 11.1 12.0 16.4. 7.0 14.2 15.3 10.8 10.2

26.520.8 14.6 12.0 8.8 16.4 6.2 10.1 16.6 13.1 21.1 16.7 10.2 20.0 7.1 9.0 13.7

12.724.1 14.8 19.5 5.7

6.45.1, 12.9, 8.9, 14.4, 9.8, 11.8, 24.6, 11.2, 20.0, 7.2, 15.2, 16.8, 15.5, 6.5, 17.0, 12.5, 7.5, 20.3, 17.0, 20.9, 12.7, 20.5, 22.0, 17.0, 8.5, 12.6, 7.0, 27.1, 13.5, 10.7, 15.0, 23.0, 8.7, 15.1, 10.9, 7.5, 14.2, 16.0, 9.0, 11.7, 9.5, 10.3, 7.8, 11.5, 26.7.

65

6.512.0, 14.0, 19.0, 8.5, 6.5, 9.6, 7.6, 16.1, 6.4, 11.9, 15.6, 12.5, 15.6, 20.7, 13.4, 14.0, 11.4, 6.5, 11.4, 11.8, 15.1, 18.9, 10.6, 26.0, 13.2, 10.6, 5.5, 9.9, 6.0, 10.1, 4.3, 21.5, 6.2, 15.5, 14.6, 13.2, 23.8, 22.7, 19.5, 9.3, 9.6, 8.8, 7.8, 14.3, 23.5, 15.2, 7.8, 8.1.

6.613.5, 15.4, 15.5, 15.6, 24.0, 11.5, 30.0, 19.0, 13.8, 16.5, 23.2, 19.1, 18.3, 20.5, 10.2, 15.0, 20.5, 13.1, 19.1, 13.6, 19.9, 7.4, 17.5, 12.1, 29.5, 16.5, 21.3, 23.0, 19.5, 16.6, 8.3, 17.8, 17.6, 21.5, 21.7, 6.5, 19.5, 12.6, 11.0, 10.0, 22.9, 25.0, 21.1, 15.1, 19.7, 16.2, 15.3, 24.0, 14.5, 24.3, 8.4, 24.4, 27.1, 16.5.

6.722.0, 20.9, 24.5, 13.1, 16.8, 16.1, 12.4, 20.5, 23.8, 17.0, 15.0, 21.7, 13.1, 13.4, 22.0, 18.0, 30.5, 18.8, 20.2, 7.1, 21.5, 20.3, 19.5, 15.7, 19.6, 19.5, 12.5, 8.8, 20.2, 17.1, 25.0, 13.6, 18.3, 24.4, 8.8, 19.5, 24.1, 15.9, 23.4, 16.1, 17.0, 14.3, 20.9, 27.0, 10.3, 10.5.

6.89.2, 8.8, 1.5, 2.7, 19.0, 2.3, 0.1, 0.6, 6.3, 11.0, 10.4, 3.2, 15.4, 3.8, 2.1, 3.1, 10.1, 16.2, 0.6, 5.0, 7.1, 9.4, 13.3, 14.5, 12.3, 11.3, 0.2, 8.6, 13.5, 4.6, 4.4, 9.5, 15.5, 14.8, 23.8, 19.1, 17.0, 5.1, 6.1, 8.5, 6.2, 3.0, 5.0, 0.1, 3.7, 20.3, 19.2, 5.8, 21.4, 0.8, 0.3, 3.1, 16.8, 0.5.

6.97.1, 16.2, 22.1, 30.1, 20.3, 15.2, 12.5, 21.0, 17.0, 15.8, 24.2, 10.8, 21.8, 25.1, 13.0, 15.8, 16.2, 21.9, 16.8, 8.8, 27.7, 13.0, 20.3, 14.4, 20.4, 19.6, 13.7, 30.5, 13.6, 18.2, 19.6, 23.5, 16.8, 10.5, 19.6, 22.1, 24.3, 8.9, 18.7, 19.5, 17.2, 25.3, 20.0, 18.1, 21.1, 12.6.

6.1019.9, 11.8, 15.2, 20.4, 13.1, 13.8, 27.0, 20.4, 11.8, 25.0, 23.5, 19.5, 17.7, 10.5, 16.5, 18.4, 30.0, 16.3, 21.4, 23.7, 17.5, 22.8, 10.1, 6.6, 15.5, 29.6, 21.6, 8.4, 19.1, 15.6, 21.4, 16.5, 24.5, 16.6, 23.1, 13.0, 19.1, 15.2, 24.6, 12.5, 19.6, 19.0, 19.6, 21.7, 7.5, 11.0, 14.4, 23.8, 15.5, 16.3, 8.3, 17.7, 17.9.

6.1116.0, 7.8, 11.6, 6.4, 10.5, 20.7, 12.0, 8.8, 6.3, 13.1, 8.1, 16.1, 15.1, 16.0, 6.1, 6.5, 14.0, 9.6, 13.2, 22.6, 14.3, 15.8, 12.2, 19.5, 6.1, 26.7, 10.1, 13.5, 14.7, 4.3, 23.7, 8.0, 20.9, 12.0, 8.2, 13.4, 19.1, 15.0, 8.8, 9.7, 23.8, 10.3, 11.9, 19.1, 5.6, 10.9, 9.8, 9.7.

6.120.5, 2.9, 0.7, 11.7, 0.8, 3.3, 21.8, 9.6, 5.8, 0.8, 13.7, 14.8, 9.5, 10.3, 4.6, 4.7, 15.6, 0.3, 6.0, 0.3, 5.1, 19.2, 9.5, 8.5, 14.7, 4.9, 16.8, 23.8, 0.5, 0.4, 6.5, 1.3, 7.1, 6.5, 9.3, 20.7, 3.3, 6.4, 1.7, 5.5, 2.5, 2.4, 3.3, 8.9, 3.2, 6.9, 6.1, 3.8, 0.6, 8.6, 1.1, 8.6, 7.2, 5.2, 0.4, 2.5, 3.9, 23.1, 1.5, 3.5.

66

6.1315.6, 14.3, 8.9, 6.7, 6.6, 32.4, 1.8, 8.8, 29.0, 34.2, 4.9, 6.8, 12.6, 6.1, 6.6, 4.1, 11.5, 16.2, 7.6, 3.1, 14.4, 26.5, 1.0, 26.4, 27.5, 0.9, 21.4, 14.7, 5.3, 9.4, 15.3, 11.2, 15.5, 20.9, 20.8, 0.4, 18.1, 9.5, 0.2, 4.0, 13.4, 1.0, 1.7, 1.8, 20.0, 1.7, 18.1, 7.2, 32.4, 5.6, 26.5, 5.5, 14.1, 28.5, 0.2, 0.9, 9.8, 10.9, 21.8, 9.0, 18.0, 10.3, 20.3, 16.2, 21.5, 32.1, 6.7, 4.4, 24.7, 12.2, 3.3, 19.5.

6.1425.1, 14.8, 9.3, 11.1, 20.9, 14.6, 8.3, 8.2, 19.2, 8.3, 22.4, 10.4, 17.6, 13.5, 7.9, 6.4, 9.5, 6.3, 10.1, 11.5, 19.2, 11.8, 8.2, 8.1, 8.6, 4.0, 6.3, 17.8, 17.2, 9.1, 15.7, 7.1, 6.9, 2.8, 13.5, 14.6, 12.5, 17.4, 8.2, 18.8, 3.8, 4.8, 13.0, 3.9, 5.1, 4.5, 14.4, 13.3, 10.4, 4.8, 12.1, 6.7, 21.6, 7.1, 4.6, 22.2, 10.2, 8.1, 10.5.

6.1510.1, 8.7, 9.1, 11.2, 6.9, 16.7, 13.2, 24.1, 5.5, 5.6, 10.0, 14.0, 23.5, 5.5, 8.3, 21.1, 12.5, 11.8, 9.0, 8.8, 16.4, 9.9, 12.1, 24.3, 12.3, 27.8, 11.3, 27.1, 19.7, 20.9, 13.6, 12.6, 14.7, 6.8, 16.1, 10.5, 8.2, 5.9, 17.6, 6.5, 15.4, 18.9, 10.0, 4.6, 14.5, 15.4, 15.0, 12.1, 8.2, 13.7, 21.1, 11.4, 10.0, 19.5, 16.5, 6.2.

6.161.7, 1.7, 26.6, 20.7, 15.4, 10.0, 18.1, 3.9, 15.3, 29.0, 1.1, 6.8, 27.7, 1.2, 22.0, 14.3, 5.7, 6.8, 1.5, 20.5, 9.0, 18.8, 24.6, 4.0, 8.7, 27.5, 16.2, 34.2, 6.0, 14, 12.2, 3.3, 0.3, 12.6, 0.9, 0.2, 16.2, 4.8, 10.8, 7.1, 22, 15.5, 26.4, 32, 18.1, 21.4, 22, 21.5, 4.4, 8.7, 20.6, 9.5, 5.3, 1.6, 6.5, 14.2, 32.4, 3.2, 11.1, 26.6, 32.5, 6.6, 0.3, 7.5, 9.6, 28.9, 1.1, 14.9, 13.3, 5.5, 11.5, 3, 6.6, 10.4.

6.1713.2, 11.6, 13, 13.7, 13.8, 20.8, 15.8, 15, 7.6, 16.1, 12.1, 24, 15.1, 11.4, 19.9, 16.9, 21.1, 26.4, 23.1, 17.5, 12.5, 29.3, 12.5, 5.9, 18.5, 12.6, 17.3, 9.3, 9.6, 16, 19.3, 21, 20.9, 14.5, 24, 15.9, 18.4, 28.8, 15.7, 18.3, 19, 19.8, 14.8, 22.3, 13.2, 15.9, 19, 20.3.

6.188.8, 17.4, 3.5, 6.8, 15.5, 3.5, 11.5, 6.8, 16.2, 9.6, 6.7, 5.5, 16.5, 5.5, 1.2, 8, 19.7, 0.7, 3.4, 9.3, 1.9, 1, 0.6, 17.2, 24.1, 20.8, 21.9, 23.3, 11, 2.1, 15.3, 19.7, 6.3, 6.4, 0.9, 4.2, 16.1, 9.8, 11.5, 3.2, 4.8, 4.9, 13.8, 8.9, 7.5, 9.8, 13.8, 15, 0.9, 19.5, 12.9, 11.7, 5.4, 0.6, 10.6, 3.5, 2.8, 4.1, 0.5, 2.8.

6.1918.1, 10, 15.4, 20.7, 26.6, 1.8, 1.7, 6.5, 2.5, 5.4, 0.9, 6.6, 27.5, 1, 21.8, 14.1, 5.5, 1.6, 2.8, 3.3, 16.1, 27.4, 8.6, 3.9, 24.5, 17.9, 8.9, 0.2, 14.8, 7.5, 16, 0.1, 0.8, 12.4, 0.2, 3.1, 12.2, 10.3, 9.5, 0.8, 2.8, 15.2, 26.2, 31.2, 17.5, 2.4, 21.7, 28.9, 11.3, 6.4, 32.1, 14.5, 11, 26.2, 34.1, 4.9, 7, 2.5, 9.2, 1.6, 6.6, 2.5, 34, 14.1, 32.3, 3.7, 6.5, 28.9, 6.1, 15.4.

67

6.2016.5, 3.4, 15.4, 2.5, 12.4, 10.7, 3.7, 7, 8.1, 6, 12.2, 1.5, 6.5, 9.1, 18.1, 12.6, 16.4, 7.2, 2.8, 3.1, 13.5, 16.7, 5.2, 8.7, 16.1, 6.9, 9.3, 8.3, 8.8, 11, 24, 6.8, 14.7, 5.4, 9.1, 6.1, 17.9, 20.6, 13.5, 8.2, 3.7, 7.3, 2.4, 10.4, 7.3, 21.3, 7.7, 13.2, 9.1, 9.6, 5.5, 5.3, 7.1, 13.6, 10.1, 5.7, 18.1, 21, 19.6, 4, 11.7.

6.2115, 9, 21.8, 14.8, 14.5, 12.4, 16.1, 16, 17.3, 12, 18.5, 22.5, 7.3, 21.3, 14.5, 23.8, 15.9, 12.3, 26, 8.7, 11.6, 17.9, 12.8, 25.4, 15, 18.6, 9.4, 13.2, 13.4, 14.6, 10.8, 14.5, 11.7, 16.9, 26.6, 18.5, 14.8, 23.5, 11.1, 29.5, 10.6, 14.8, 16.3, 10.5, 12.4, 13.8, 14.4, 13.7, 9.5, 17.6, 8.5, 9.2, 21.5, 18.5.

6.2217.1, 14.8, 10, 13.9, 22.8, 0.1, 15, 12.3, 9.8, 23.3, 9.9, 10.9, 11.5, 7.8, 10.1, 9.1, 13, 13.3, 1.6, 9, 12.4, 6.6, 13, 7.7, 14.3, 7, 20.4, 6.5, 12.5, 8.8, 11.3, 9.9, 16.3, 5.4, 3.3, 5.6, 9.7, 6.1, 8.5, 15.1, 7.2, 18, 6, 13.8, 18, 3.6, 7.2, 14.9.

6.2312.4, 5.8, 6.1, 0.6, 15.4, 3.9, 10.5, 16.8, 2.9, 8.5, 15, 8.1, 7.5, 8.3, 20.3, 10.6, 10.4, 10, 6, 20.1, 0.7, 1.4, 8.1, 2.6, 8.2, 17.5, 5.1, 2.8, 1.6, 4.6, 4.3, 18.7, 12.5, 4.2, 11.2, 2.1, 12.5, 12.6, 9.8, 4.4, 7.2, 1.5, 5.1, 7.2, 19.6, 6.1, 15.5, 24, 6.6, 17.2, 15.9, 5.1, 7.2, 12.2, 9.5, 10.8.

6.243.2, 1.7, 3.2, 3.8, 3.9, 10.8, 5.7, 13.2, –0.4, 2.1, 13.8, 5, 1.4, 9.9, 6.9, 11.1, –2.3, 5.8, 2.5, 19.4, –4, 2.1, 8.4, 2.5, 7.2, 9.1, 10.4, 9.2, 10.9, 20.8, 4.6, 14.5, 6.1, 8.6, 18.5, 6.3, 8.4, 9.2, 9.8, 4.8, 12.3, 3.2, 5.9, –0.5, 7.5, 5, 16.5, –2.5, 13.4, 9.1, 7.8, 1.5, 8.7, 6.2.

6.251.9, 19.8, 5.5, 9.2, 9.7, 6.6, 9, 12.7, 3.1, –2.4, 19.5, 6.4, 9.7, 2.6, 14.5, –1.7, 5.7, 10.4, 3.1, 13.1, –1.7, 1.1, 14.7, 6.5, 5.4, 13.7, 5.2, 11.7, 11.6, 7.6, 4.5, 5.3, 11.4, –3.5, 11.4, 1.8, 6.5, 7.9, 10.4, 13.9, 9.2, 5.6, 0, 8.4, 9.7, 6.3, 0.2, 7.5, 9, 13.5, 14.6, 17.1, 3.9.

6.265, 14.1, 20.2, 27.9, 18.3, 13, 15.1, 18.9, 21.4, 11.1, 13.7, 22.3, 8.7, 19.8, 23, 14.1, 20, 10.4, 12.3, 14.8, 6.9, 25.5, 11.2, 18.3, 17.5, 11.3, 17.5, 18.8, 28.4, 11.5, 16.3, 14.5, 8.5, 17.7, 20.3, 16.9, 10.5, 22.1, 6.9, 17.6, 15.1, 23.2, 18.1, 6, 14, 18.2.

6.2710.8, 6.7, 13.3, 15.1, 11.8, 2.4, 9.4, 20.3, 19.8, 9.5, 0.6, 3.1, 4.2, 5.6, 11.9, 8.7, 7.9, 9.5, 10.9, 6.9, 14.9, 14.2, –3.1, 9.4, 10, 12.1, 7, 5.7, 6.1, 6.1, –1.4, 3, 3.5, 14.5, 10.7, 17.5, 10.3, 10.1, 3.4, 10.1, 2.4, –1.3, 8.5, 11.9, 0.4, 4.9.

68

6.285.4, 5.3, 5.5, 13.7, 1.8, 19.7, 8.8, 4.4, 14.5, 6.4, 13.3, 8.7, 8.3, 10.3, 0.1, 5.2, 11.4, 9.7, 10.3, 9, 3, 9.7, –2.5, 7.5, 1.9, 14.4, 17.1, 19.4, 6.4, 12.9, 9.1, 6.5, –1.8, 7.7, –3.5, 3.9, 7.6, 11.6, 11.5, 9.6, 2.5, 1, –0.1, –1.8, 3.2, 12.8, 14.6, 11.3, 5.2, 6.4, 5.7, 13.9, 6.5.

6.296.8, 8.9, 14.1, 3.7, 1.3, 4.6, 2.8, 11.1, 14.4, 3, 7.2, 10.7, 15.8, 8.3, 8, 6.4, 10, 14, 6.8, 6.7, 5.7, 21.5, 8.3, 5.7, 0.4, –0.8, 15.5, 1.1, 5.2, 0.9, 10.8, 9.5, 8.2, 18.7, 4.4, 4.6, 3.7, 2.9, 1.5, 2.5, 9.2, 19.7, 10.1, 11.1, 1.2, 4.8, 17.5, 5.4.

6.301.2, –3.1, 6.7, 3.2, 6.5, 1.9, 2.3, 9.6, 0.1, 2.6, 0.1, 1.5, 11.2, 0.2, 4.1, 13.6, –3.4, –1.6, 3.6, 17.2, 11.2, 9.6, –1.1, –4.3, –3.5, 5.2, –4, 9.9, 1.3, 12.7, –0.7, –4.4, 6.7, 4.6, –5.2, 4.9, –3, 6.3, 2.7, 14.5, 0.7, –2.5, 7.8, –3.3, 5.6, 5.5, 2.3, –1.7, 3.9, 0.1, –0.9, –1.4, 14.2, 0, 2.1, 9.2.

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