ТОПИН.Лекции, задания / variant
.pdfВариант №29
Задача 1.
31.2 30.7 31.3 30.6 30.2 28.9 30.3 30.8 32.7 27.6 29.5 31.0 32.2 29.7 31.3
30.7 33.1 29.2 28.2 26.5 28.3 28.9 30.7 27.3 27.5 34.8 35.3 32.3 28.6 31.4
29.0 31.1 28.5 30.4 27.2 27.1 29.5 30.8 28.2 36.6 31.7 28.6 30.0 25.9 25.6
29.4 32.5 32.6 25.6 28.9 28.2 27.6 30.0 30.4 26.9 29.8 31.6 33.0 30.7 28.6
28.0 29.8 35.2 28.3 29.6 31.9 30.7 28.3 32.2 29.1 25.4 29.5 28.0 32.2 30.9
27.5 30.9 32.4 29.7 32.2 30.6 32.1 33.2 32.0 32.2 34.9 27.6 27.0 28.8 33.0
31.0 27.6 30.9 28.5 32.1 31.8 32.7 29.8 30.4 26.6
Задача 2. |
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X |
5.0 |
6.0 |
7.0 |
8.0 |
9.0 |
10.0 |
11.0 |
12.0 |
13.0 |
14.0 |
15.0 |
16.0 |
Y |
4.8 |
6.2 |
6.7 |
7.2 |
7.4 |
7.0 |
7.5 |
7.1 |
8.9 |
7.5 |
7.8 |
9.8 |
Задача 3.
γ = 0.95 26.0 24.2 23.4 23.0 30.8 28.7 34.2 29.6 24.4 28.5 27.3 33.8 24.4 39.9 30.7 32.2
Задача 4. |
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s = 5, γ = 0.99 |
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1.4 |
9.4 |
9.9 |
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8.3 |
8.7 |
1.6 2.0 5.8 17.7 10.5 5.3 |
7.8 |
-0.2 |
8.3 |
12.2 |
1.3 |
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2.7 |
0.2 |
6.7 |
12.1 |
6.6 |
5.3 |
9.8 |
9.1 |
4. 8 |
5.8 |
0.1 |
7.6 |
10.6 |
7.7 |
7.7 |
6.7 |
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-0.6 |
-0.6 |
7.5 |
13.2 |
7.2 |
8.1 |
-0.7 |
6.2 |
10.3 |
8.0 |
2.6 |
9.8 |
1.8 |
2.4 |
7.5 |
7.4 |
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9.3 |
3.3 |
7.4 |
-2.9 -3.5 |
0.4 |
1.5 |
3.1 |
9.6 8.8 |
3.9 |
6.0 |
9.0 |
3.0 10.9 |
-1.9 |
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3.6 |
11.5 |
6.9 |
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6.6 |
2.7 |
5.8 |
4.4 |
2.2 |
-2.7 15.7 1.6 5.2 2.0 11.3 6.4 |
2.8 |
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14.1 |
-4.1 |
6.2 |
8.2 |
3.3 |
11.3 |
1.0 |
7.7 |
13.0 |
10.0 |
-1.3 |
0.8 |
4.5 |
8.2 1.8 2.3 |
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-2.0 |
9.9 |
2.3 |
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6.4 |
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Задача 5.
( 40.0, -50.9) ( 34.3, -58.8) ( 42.5, -57.4) ( 37.9, -73.6) ( 41.7, -64.3) ( 45.7, -97.5) ( 44.4,-105.3) ( 42.1, -62.9) ( 32.0, -52.2) ( 38.4, -52.6) ( 35.3, -78.3) ( 32.1, -50.4) ( 32.1, -72.3) ( 42.1, -91.2) ( 37.8, -79.5) ( 49.6, -97.8) ( 44.4, -61.1) ( 46.1,-114.3) ( 35.8, -61.6) ( 36.1, -44.9) ( 53.4,-108.5) ( 37.4, -76.7) ( 41.3, -96.1) ( 39.5, -74.0) ( 32.4, -66.9) ( 46.6, -76.0) ( 49.6, -65.6) ( 32.9, -41.3) ( 36.3, -46.9) ( 37.0, -74.8) ( 34.3, -71.8) ( 39.0, -89.4) ( 40.5, -96.0) ( 33.8, -65.2) ( 38.3, -91.9) ( 39.7, -91.0) ( 38.8, -68.2) ( 47.7, -88.0) ( 44.0, -98.3) ( 46.7, -67.6) ( 43.5,-100.5) ( 44.6, -76.2)
Задача 6.
Выборка 1: 44 2 94 87 43 72 54 68 55 80 57 66 99 90 45 15 Выборка 2: 97 90 8 59 71 78 1 95 30 3 87 31 57 62 54 93
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Вариант №30
Задача 1. |
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36.8 |
37.0 |
43.0 |
45.5 |
34.8 |
35.6 |
35.2 |
38.1 |
49.5 |
46.0 |
37.2 |
42.7 |
46.9 |
49.3 |
50.6 |
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35.9 |
35.7 |
46.3 |
38.3 |
48.4 |
41.2 |
50.1 |
35.5 |
49.3 |
42.9 |
42.8 |
46.5 |
49.1 |
48.0 |
34.8 |
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47.2 |
50.4 |
36.5 |
47.2 |
43.9 |
43.9 |
47.2 |
45.2 |
41.5 |
46.6 |
45.5 |
42.8 |
35.2 |
44.8 |
37.5 |
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41.2 |
36.7 |
37.3 |
46.1 |
46.6 |
39.1 |
48.4 |
48.2 |
42.3 |
41.6 |
43.1 |
41.4 |
50.2 |
45.8 |
47.1 |
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41.1 |
46.0 |
35.2 |
38.9 |
49.2 |
42.3 |
44.4 |
44.9 |
42.7 |
43.9 |
49.8 |
45.0 |
47.6 |
44.7 |
50.9 |
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45.7 |
48.9 |
35.2 |
50.2 |
36.8 |
50.0 |
43.7 |
35.2 |
45.6 |
39.8 |
37.2 |
36.7 |
46.2 |
35.9 |
36.4 |
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36.7 |
48.5 |
39.6 |
40.6 |
45.2 |
48.4 |
45.1 |
40.8 |
42.5 |
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35.7 |
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Задача 2. |
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X |
7.0 |
8.0 |
9.0 |
10.0 |
11.0 |
12.0 |
13.0 |
14.0 |
15.0 |
16.0 |
17.0 |
18.0 |
19.0 |
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Y |
3.9 |
5.5 |
6.3 |
5.8 |
5.7 |
5.3 |
7.2 |
5.6 |
6.6 |
7.3 |
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8.1 |
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7.6 |
6.9 |
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Задача 3. |
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γ = 0.95 |
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21.0 |
15.7 |
29.7 |
11.2 |
14.7 |
13.2 |
18.2 |
23.0 |
16.1 |
13.4 |
20.5 |
11.2 |
18.2 |
15.0 |
23.8 |
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14.8 |
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Задача 4. |
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s = 6, γ = 0.99 |
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21.3 |
26.5 |
39.5 |
17.5 |
27.5 |
38.2 |
29.0 |
30.1 |
27.5 |
32.7 |
14.1 |
34.4 |
35.0 |
23.7 |
25.2 |
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31.5 |
19.4 |
22.2 |
36.4 |
37.2 |
20.7 |
33.2 |
28.0 |
22.0 |
31.7 |
37.3 |
25.0 |
25.7 |
23.4 |
30.8 |
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35.0 |
31.4 |
28.6 |
13.9 |
31.8 |
24.1 |
30.0 |
34.6 |
31.4 |
30.8 |
19.4 |
29.3 |
27.3 |
27.4 |
27.0 |
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22.9 |
37.6 |
24.6 |
32.4 |
25.4 |
27.7 |
28.6 |
30.0 |
28.2 |
23.9 |
33.7 |
26.9 |
29.4 |
28.2 |
32.9 |
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29.5 |
18.1 |
18.9 |
26.9 |
20.5 |
26.5 |
32.2 |
32.9 |
26.4 |
28.9 |
27.8 |
16.5 |
32.6 |
29.2 |
32.6 |
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23.2 |
31.7 |
17.8 |
24.9 |
33.4 |
26.3 |
20.4 |
28.5 |
35.6 |
27.2 |
29.1 |
29.9 |
27.2 |
24.9 |
28.7 |
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41.5 |
31.2 |
27.8 |
34.1 |
29.0 |
26.5 |
24.8 |
22.4 |
20.5 |
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35.3 |
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Задача 5. |
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( 31.4, 51.8) ( 35.7, 61.6) ( 16.6, |
31.5) ( 38.5, 53.2) ( 19.1, 37.9) ( 33.2, 66.5) |
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( 34.5, 64.3) ( 32.6, 68.0) ( 33.6, |
46.5) ( 20.1, 30.6) ( 37.3, 81.5) ( 19.7, 43.5) |
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( 43.3, 103.5) ( 31.2, |
62.7) ( 41.8, 85.0) ( 34.6, 53.3) ( 21 .8, 30.0) ( 26.1, 32.8) |
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( 19.6, 38.1) ( 38.2, 61.1) ( 33.9, |
69.4) ( 27.1, 51.5) ( 32.4, 61.0) ( 32.7, 41.4) |
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( 25.8, 63.1) ( 30.0, 54.0) ( 39.5, |
75.0) ( 19.8, 36.0) ( 31.5, 67.3) ( 25.9, 60.8) |
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( 35.3, 56.8) ( 33.3, 50.4) ( 28.4, |
37.8) ( 19.9, 38.6) ( 27.1, 58.8) ( 32.9, 43.2) |
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( 26.3, 33.3) ( 32.1, 73.5) ( 29.1, |
64.2) ( 44.4, 100.1) ( 22.7, |
46.9) ( 24.9, 40.3) |
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( 32.1, 70.4) ( 35.2, 83.2) |
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Задача 6. |
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Выборка 1: |
44 96 3 9 87 82 34 27 49 77 56 79 |
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Выборка 2: |
17 16 83 25 88 71 85 29 27 18 2 60 |
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42
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Рекомендуемая литература
1.Вентцель Е.С. Теория вероятностей. М., Высшая школа, 2002.
2.Гмурман В.Е. Руководство к решению задач по теории вероятностей и математической статистике. М., Высшая школа, 2004.
3.Гмурман В.Е. Теория вероятностей и математическая статистика. М., Высшая школа, 2003.
4.Емельянов Г.В., Скитович В.П. Задачник по теории вероятностей и математической статистике. М., Изд. МГУ, 1967.
5.Климов Г.П., Кузьмин А.Д. Вероятность, процессы, статистика: Задачи с решениями. М., Изд. МГУ, 1985.
6.Коваленко И.Н., Филиппова А.А. Теория вероятностей и математическая статистика. М, Высшая школа, 1982.
7.Корн Г., Корн Т. Справочник по математике для научных работников и инженеров. М., Наука, 1978.
8.Сборник задач по теории вероятностей, математической статистике и теории случайных функций. Под ред. А.А.Свешникова. М.,Наука, 1970.
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