ВЕРОЯТНОСТЬ

ВЕРОЯТНОСТЬ
№1. Бросаются две игральные кости. Определить вероятность
того, что
а) сумма числа очков не превышает N,
б) сумма числа очков превосходит N,
в) произведение очков делится на N.
№2. Среди n лотерейных билетов k выигрышных. Наудачу
взяли m билетов. Определить вероятность того, что среди
них l выигрышных.
№3. На отрезке единичной длины наудачу появляется точка.
Определить вероятность того, что расстояние от точки до
концов отрезка превосходит 1/k .
№4. В круге радиуса R наудачу появляется точка. Определить
вероятность того, что она попадёт в одну из непересекающихся фигур, площади которых равны S1 и S2 .
3
№5. Из 1000 ламп ni принадлежит i-ой партии i = 1, 2, 3,  n
i 1
i
 1000.
В первой партии 6%, во второй 5%, в третьей 4% бракованных ламп. Наудачу выбирается одна лампа. Определить вероятность того, что выбранная лампа – бракованная.
№6. В магазин поступают однотипные изделия с трёх заводов,
причём i-й завод поставляет mi% изделий (i = 1,2,3). Среди
изделий i-го завода – ni% первосортных. Определить вероятность того, что купленное первосортное изделие выпущено
j-м заводом.
№7. Вероятность выигрыша в лотерею на один билет равна p .
Куплено n билетов. Найти наивероятнейшее число выигравших билетов и соответствующую вероятность.
№8. Вероятность «сбоя» в работе телефонной станции при каждом вызове равна p . Поступило n вызовов. Определить
вероятность m «сбоев».
№9. Вероятность наступления некоторого события в каждом из
n независимых испытаний равна p . Определить вероятность того, что число m наступлений события удовлетворяет следующему неравенству:
Вар. 1-11, 36-40,
k1 ≤ m ≤ k2 .
Вар. 12-21,41-45,
k1 ≤ m.
Вар. 22-35,
m ≤ k2 .
№10.
Варианты 1-10, 36-40.
Известно, что в партии из n телефонных аппаратов имеется m неисправных. Из партии выбрано l аппаратов.
Найти закон распределения, математическое ожидание и
дисперсию числа неисправных аппаратов среди отобранных.
Варианты 11-20,41-45.
В партии из n деталей имеется m деталей первого сорта.
Наудачу отобрали l деталей. Составить закон распределения случайной величины X – числа деталей первого сорта
среди отобранных. Найти математическое ожидание и дисперсию случайной величины X .
Варианты 21-35.
В партии из n деталей находится m бракованных деталей
Из партии наудачу отобрали l деталей. Найти закон распределения, математическое ожидание и дисперсию числа
бракованных деталей среди отобранных.
№11. Дана плотность распределения p(x) случайной величины ξ
Найти параметр γ , математическое ожидание М[ξ], дисперсию D[ξ] , функцию распределения случайной величины
ξ. Вероятность выполнения неравенства x1 ≤ ξ ≤ x2.
Вар. 1-8,36-38.
(  a) 1 , x  a, b,
p ( x)  
0, x  a, b.
.
Вар. 9-16,39-41.
a, x   , b,
p( x)  
0, x   , b.
.
Вар. 17-24, 42-45.
 , x  a, b
p( x)  
.
0, x  a, b
.
Вар. 25-35.

b  
a , x   2


p( x)  
0, x   b  
 2

,
b 
2 
b 
,
2 
.
№12. Функция распределения непрерывной случайной величины
X имеет вид F(x) . Найти параметры A и B, плотность
распределения f(x) ,математическое ожидание Mx, дисперсию Dx , среднее квадратическое отклонение σ. Вычислить
вероятность P(|X - Mx|<σ) .Построить графики функций
F(x) и f(x).
№13.
Варианты 1-10, 36-40.
Ошибка измерения прибора подчинена нормальному распределению. Прибор имеет систематическую ошибку a
и среднее квадратическую ошибку σ. Записать формулу
плотности распределения и построить график плотности.
Вычислить таблицу функции распределения для значений
k = a +kσ, k = 0, ± 1, ± 2, ± 3 и построить график функции
распределения. Какова вероятность того, что n ошибок
измерения попадает в интервал ( α , β )?
Варианты 11-20 , 41-45.
Случайное отклонение размера детали от номинала распределено по нормальному закону с математическим ожиданием a и средним квадратическим отклонением σ .
Годными деталями являются те, для которых отклонение от
номинала лежит в интервале ( a – α, a + α ) остальные подлежат переделке. Записать формулу плотности распределе-
ния и построить график плотности. Вычислить таблицу
функции распределения для значений xk = a + kσ ,
k = 0, ±1, ±2, ±3 и построить её график. Сколько необходимо изготовить деталей, чтобы с вероятностью не менее
β среди них была хотя бы одна годная?
Варианты 21-35.
Случайное отклонение размера от номинала подчиняется
нормальному закону распределения с параметрами a и σ.
Записать формулу плотности распределения и построить
её график. Вычислить таблицу значений функции распреДеления для значений xk = a + kσ ; k = 0, ±1, ±2, ±3 и построить её график. Какой ширины должно быть поле допуска, чтобы с вероятностью не более α получить деталь с
размером вне поля допуска, если за середину поля допуска
принять отклонение размера равное математическому
ожиданию?
№14. По данному закону распределения случайной величины ξ
найти характеристическую функцию φ(t), математическое
ожидание M[ξ], дисперсию D[ξ] случайной величины ξ .
Вар. 1-10, 36-40.
P(  k )  Cnk p k q nk ;0  p  1, k  0,1,..., n
Вар. 11-20, 41-45.
P(  k ) 
ak
; a  0, k  0,1,2,....
(1  a) k 1
Вар. 21-35.
P(  k ) 
a k a
e ; a  0, k  0,1,2,....
k!
№15. Случайная величина ξ имеет нормальное распределение с
неизвестными математическим ожиданием a и дисперсией
σ2. По выборке ( k1, k2,…, kn) объёма n вычислены оценки
n
a *= 1  x ;
n
i 1
i
(σ*)2 =
1 n
 ( xi  a ) 2
n  1 i 1
неизвестных параметров. Найти доверительный интервал
для математического ожидания a, отвечающий доверительной вероятности p.
№16. В условиях задачи №15 найти доверительный интервал для
дисперсии при доверительной вероятности p.
№17. В серии из n выстрелов по мишени наблюдалось m попаданий. Найти доверительный интервал для вероятности p
попадания в мишень при доверительной вероятности
p = 0.95.
№18. Дана выборка из n = 100 значений. Требуется
1) найти статистический ряд с длиной каждого интервала 0.1;
2) построить гистограмму;
3) найти оценки для математического ожидания и дисперсии;
4) считая распределение генеральной совокупности нормальным, найти границы доверительных интервалов
для математического ожидания и дисперсии при надёжности 0.95.
5) проверить с помощью критерия χ2 гипотезу о том,
что выборка извлечена из нормальной генеральной
совокупности с математическим ожиданием и средним квадратическим отклонением равными соответственно статистическому среднему и статистическому среднему квадратическому отклонению. Уровень
значимости принять равным 0.05.
Вариант 1.
1.
N = 3.
2.
n = 10, l = 2, m = 4, k = 6.
3.
k = 4.
4.
R = 11, S1 = 2.25, S2 = 3.52.
5.
n1 = 100, n2 = 250.
7.
p = 0.3, n = 10.
9.
6. m1 = 50, m2 = 30, m3 = 20, j =1,
n1 = 70, n2 = 80, n3 = 90.
8. m = 7, n = 1000, p = 0.002.
m = 100, p = 0.8, k1= 80,
k2 = 90.
11.
a = 2.5, b = 4, x1 = 3,
x2 = 3.3.
10.
n = 20, m = 5, l = 4.
12.
0, x  1,

F ( x)   A  B arcsin x, x  1,
1, x  1.

13. a = 5м., σ = 75м., n = 3,
α = 0, β = 80м.
14.
15.a* = 2.1, n = 31,
σ2*= 0.5, p = 0.8.
16.
σ2*= 45,
n = 14, p = 0.98.
n = 5, p = 0.37.
17.
n = 30, m = 10.
18.
68.17 68.41 68.53 68.37 68.13 68.27 68.58 68.27 68.49 68.56
.39
.48
.38
.14
.38
.21
.18
.34 .33
.39
.61
.67
.40
.35
.52
.26
.64
.35 .30
.08
.61
.67
.40
.35
.52
.36
.05
.44 .15
.22
.31
.46
.31
.34
.44
.21
.42
.35 .36
.50
.08
.49
.66
.20
.37
.04
.16
.30 .47
.19
.31
.11
.32
.03
.12
.32
.36
.28 .32
.62
.55
.25
.05
.45
.23
.20
.30
.24 .40
.26
.29
.52
.15
.22
.16
.23
.23
.51 .38
.54
.50
.49
.28
.65
.25
.09
.44
.24 .41
.48
Вариант 2.
1.
N = 4.
2. n = 10, l = 2, m = 3, k = 6.
3.
k = 5.
4. R = 12, S1 = 2.37, S2 = 3.52.
5.
n1 = 430, n2 = 180.
7.
p = 0.3, n = 14.
9. m = 100, p = 0.8, k1= 82,
k2 = 96.
11. a = 1.5, b = 3, x1 = 2,
x2 = 2.6.
13. a = 0 , σ = 5мк. , n = 2,
α = -5мк., β = 5мк.
15. a* = 2.1, n = 31,
σ2*= 0.5, p = 0.8.
6. m1 = 50, m2 = 30, m3 = 20, j =2,
n1 = 70, n2 = 80, n3 = 90.
8. m = 7, n = 1000, p = 0.003.
10.
12.
14.
16. n = 14, σ2*= 45,
p = 0.98.
n = 20, m = 4, l = 3.
 A  B 3 , x  1,
x
F ( x)  
0, x  1.
n = 5, p = 0.37.
17. n = 30, m = 10.
18.
61.65 61.78 61.25 61.50 61.41 61.41 61.17 61.19 61.32 61.56
.00
.29
.06
.75
.34
.13
.20
.45 .28
.04
.24
.60
.35
.38
.14
.64
.37
.30 .63
.30
.31
.47
.46
.25
.47
.46
.29
.56 .51
.15
.75
.48
.11
.22
.12
.27
.48
.38 .41
.34
.20
.04
.36
.30
.33
.36
.35
.16 .67
.47
.71
.32
.36
.63
.23
.30
.55
.42 .58
.54
.68
.21
.45
.54
.65
.62
.60
.28 .42
.14
.49
.12
.50
.53
.44
.56
.43
.39 .75
.68
.78
.48
.21
.44
.58
.08
.52
.59 .24
.52
Вариант 3.
1.
N = 5.
2.
3.
k = 6.
4. R = 13, S1 = 2.49, S2 = 3.52.
5.
n1 = 170, n2 = 540.
7.
p = 0.3, n = 13.
9.
m = 100, p = 0.8,
k1= 85, k2 = 95.
a = 1.5, b = 2.5,
x1 = 2, x2 = 2.3.
10.
a = 5м., σ = 25м.,
n = 3, α = 0,β = 10м.
14.
11.
13.
15.a* = 2.1, n = 26,
σ2*= 0.5, p = 0.95.
n = 10, l = 3, m = 5, k = 7.
6. m1 = 50, m2 = 30, m3 = 20, j =3,
n1 = 70, n2 = 80, n3 = 90.
8.
m = 8, n = 1000, p = 0.004.
12.
16.
n = 10,
2*
σ = 18, p = 0.8.
n = 30, m = 7, l = 6.
0, x   
2,


1
F ( x)   A  Bx 
sin 2 x, x   ,
2
2


1, x   .

2
n = 6, p = 0.53.
17. n = 30, m = 12.
18.
41.77 41.81 41.64 41.54 41.91 41.67 41.55 41.84 41.61 41.80
.42
.62
.86
.65
.70
.85
.60
.69 .95
.62
.71
.50
.76
.73
.66
.43
.68
.52 .70
.46
.58
.89
.56
.32
.53
.99
.83
.35 .61
.37
.95
.57
.87
.75
.82
.50
.41
.78 .42
.98
.64
.80
.65
.58
.72
.80
.60
.72 .70
.62
.70
.92
.53
.60
.74
.69
.61
.55 .38
.51
.82
.44
.97
.78
.80
.34
.70
.49 .60
.63
.75
.63
.70
.48
.52
.73
.69
.71 .78
.47
.58
.74
.55
.65
.78
.54
.51
.68 .56
.64
Вариант 4.
1.
N = 6.
2. n = 10, l = 3, m = 5, k = 6.
3.
k = 5.
4.
5.
n1 = 520, n2 = 390.
7.
p = 0.3, n = 12.
9.
11.
m = 100, p = 0.8,
k1= 70, k2 = 95.
a = 1, b = 3.5, x1 = 2,
x2 = 2.8.
13. a = 5м., σ = 50м., n = 4,
α = -20м., β = 65м.
15.a* = 2.1, n = 24,
σ2*= 0.5, p = 0.98.
R = 14, S1 = 2.55, S2 = 1.57.
6. m1 = 60, m2 = 20, m3 = 20, j =1,
n1 = 70, n2 = 80, n3 = 90.
8. m = 7, n = 1000, p = 0.005.
10.
12.
14.
16. n = 9, σ2*= 0.2,
p = 0.98.
n = 40, m = 6, l = 5.
0, x   ,
4


F ( x)   A  B sin 2 x, x   ,
4

1, x   4 .
n = 9, p = 0.48.
17. n = 30, m = 13.
18.
90.79 90.56 90.45 90.33 90.46 90.77 90.66 90.41 90.45 90.56
.66
.44
.30
.63
.12
.43
.48
.53
.42 .57
.31
.60
.24
.48
.58
.39
.21
.45
.50 .51
.55
.44
.42
.54
.47
.22
.38
.54
.46 .28
.40
.25
.15
.42
.50
.82
.46
.40
.76 .49
.58
.61
.73
.32
.64
.65
.71
.67
.18 .69
.96
.85
.64
.60
.72
.17
.34
.41
.35 .30
.68
.32
.50
.23
.62
.68
.50
.27
.68 .75
.26
.74
.62
.78
.29
.36
.59
.55
.81 .54
.45
.51
.13
.34
.52
.36
.52
.31
.51 .37
Вариант 5.
1.
N = 7.
2.
3.
k = 6.
4. R = 11, S1 = 2.27, S2 = 5.57.
5.
7.
n1 = 360, n2 = 600.
p = 0.3, n = 11.
9. m = 90, p = 0.7, k1= 83,
k2 = 93.
11. a = -1, b = 2, x1 = - 0.7,
x2 = 1.1.
13. a = - 5мк. , σ = 5мк.,
n = 3, α = - 5мк.,
β = 8мк.,
15. a* =1.7, n = 31,
σ2*= 0.8, p = 0.8.
n = 11, l = 2, m = 5, k = 7.
6. m1 = 60, m2 = 20, m3 = 20, j =2,
n1 = 70, n2 = 80, n3 = 90.
8. m = 7, n = 1000, p = 0.006.
10.
12.
14.
16. n = 12, σ2*= 25,
p = 0.96.
n = 40, m = 7, l = 4.
 A  Be 2 x , x  0,
F ( x)  
0, x  0.
n = 7, p = 0.18.
17. n = 30, m = 14.
18.
51.79 51.43 51.34 51.61 51.50 51.75 51.43 51.72 51.50 51.46
.38
.65
.52
.55
.61
.45
.68
.54 .45
.65
.42
.60
.55
.88
.52
.21
.26
.44 .53
.33
.51
.53
.49
.59
.71
.59
.45
.67 .38
.55
.60
.77
.54
.41
.51
.84
.74
.50 .66
.74
.59
.58
.56
.39
.28
.60
.31
.65 .73
.25
.22
.63
.40
.62
.42
.69
.62
.60 .57
.64
.58
.85
.66
.50
.76
.36
.40
.63 .81
.60
.78
.56
.41
.42
.54
.51
.82
.32 .37
.49
.61
.35
.48
.72
.60
.24
.48
.46 .58
.47
Вариант 6.
1.
N = 8.
2.
n = 11, l = 3, m = 4, k = 8.
3.
k = 7.
4.
R = 12, S1 = 2.39, S2 = 5.57.
5.
n1 = 700, n2 = 90.
7.
p = 0.4, n = 15.
6. m1 = 60, m2 = 20, m3 = 20, j =3,
n1 = 70, n2 = 80, n3 = 90.
8.
m = 8, n = 990, p = 0.009.
9. m = 300, p = 0.8, k1= 65,
10.
k2 = 75.
11. a = - 2, b = 1, x1 = -1.5,
12.
x2 = 0.3.
13. a = 0.1мм., σ = 1мм.,
14.
n =3, α = 1мм., β = 2мм.
15.a* = 1.7, n = 28,
σ2*= 0.8, p = 0.9.
n = 45, m = 9, l = 7.
0.5e 5 x , x  0,
F ( x)  
 A  0.5e 5 x , x  0.
n = 3, p = 0.67.
16. σ2*= 16,n = 17, 17.
p = 0.96
n = 30, m = 15.
18.
60.09 60.12 60.60 60.19 60.66 60.46 60.42 60.40 60.48 60.28
.57
.35
.12
.47
.37
.19
.31
.59 .17
.38
.45
.21
.31
.22
.58
.31
.63
.42 .34
.63
.28
.45
.74
.63
.23
.26
.78
.21 .52
.02
.61
.11
.29
.07
.36
.47
.23
.73 .27
.55
.20
.50
.25
.57
.45
.05
.33
.64 .49
.44
.34
.58
.59
.38
.72
.55
.20
.32 .36
.60
.13
.75
.41
.40
.56
.31
.59
.03 .71
.35
.22
.32
.62
.26
.41
.40
.43
.45 .40
.29
.32
.67
.27
.18
.50
.61
.19
.56 .69
.48
Вариант 7.
1.
N = 9.
2.
n = 11, l = 3, m = 5, k = 7.
3.
k = 6.
4.
R = 13, S1 = 2.51, S2 = 1.57.
5.
n1 = 240, n2 = 610.
7.
p = 0.4, n = 11.
9.
6. m1 = 40, m2 = 30, m3 = 30, j
=1,
n1 = 80, n2 = 80, n3 = 90.
8. m = 7, n = 1000, p = 0.018.
m = 100, p = 0.7, k1= 70,
k2 = 80.
11. a = - 3, b = 5, x1 = - 2,
x2 = 2.
10.
12.
 
8
 A1  3 , x  2,
F ( x)    x 
0, x  2.

13. a = 0.1мм., σ = 2мм.,
n =3, α =1мм., β = 2мм.
14.
n = 8, p = 0.32.
15.a* = 1.7, σ2*= 0.8, 16.
n = 12,
n = 26, p = 0.95.
σ2*= 42, p = 0.8.
n = 45, m =10, l = 7.
17. n = 37, m = 16.
18.
15.34 15.42 15.21 15.36 15.54 15.76 15.41 15.42 15.77 15.49
.31
.58
.58
.34
.45
.33
.26
.49 .57
.64
.65
.33
.39
.25
.40
.25
.48
.43 .31
.48
.50
.30
.74
.55
.66
.38
.11
.30 .59
.27
.41
.43
.34
.44
.22
.40
.32
.53 .44
.48
.75
.67
.49
.30
.79
.47
.59
.42 .40
.52
.48
.40
.55
.35
.50
.66
.40
.14 .47
.15
.58
.24
.38
.15
.61
.30
.52
.63 .51
.32
.32
.17
.60
.51
.75
.49
.69
.26 .44
.60
.40
.56
.35
.62
.37
.23
.39
.54 .58
.45
Вариант 8.
1.
N = 10.
2.
3.
k = 7.
4. R = 14, S1 = 2.57, S2 = 3.52.
5.
7.
n1 = 80, n2 = 710.
p = 0.4, n = 13.
9.
n = 12, l = 3, m = 8, k = 5.
6. m1 = 40, m2 = 30, m3 = 30, j =2,
n1 = 80, n2 = 80, n3 = 90.
8. m = 7, n = 1000, p = 0.009.
m = 100, p = 0.6,
k1= 40,k2 = 50.
11. a = -1.5, b = 2.5, x1 = -1,
x2 = 0.
10.
n = 50, m = 12, l = 8.
12.
0, x    ,
2


F ( x)   A  A  sin x, x   ,
2

1, x   2 .
13. a =1мм., σ =2мм., n = 3,
α = -1мм., β = 1мм.
14.
15.a* =1.7, n = 24,
σ2*= 0.8, p = 0.98.
16.n =13, σ2*=10,
p = 0.96.
n = 10, p = 0.87.
17. n = 30, m = 17.
18.
44.31 44.48 44.81 44.40 44.61 44.47 44.65 44.88 44.47 44.21
.76
.51
.42
.77
.59
.22
.69
.50 .51
.48
.38
.40
.58
.52
.65
.68
.40
.66 .62
.33
.52
.66
.63
.28
.20
.36
.55
.18 .29
.79
.52
.83
.57
.63
.44
.60
.38
.74 .54
.24
.61
.65
.60
.14
.15
.86
.53
.38 .57
.50
.31
.46
.41
.38
.78
.35
.20
.59 .50
.36
.44
.78
.61
.23
.56
.50
.48
.25 .35
.55
.84
.49
.58
.40
.81
.41
.75
.26 .42
.72
.45
.37
.57
.46
.21
.19
.71
.53 .89
.45
Вариант 9.
1.
N = 3.
2.
n = 12, l = 2, m = 8, k = 3.
3.
k = 8.
4.
R = 12, S1 = 2.29, S2 = 3.52.
5.
n1 = 630, n2 = 230.
7.
p = 0.4, n = 14.
6. m1 = 40, m2 = 30, m3 = 30, j =3,
n1 = 80, n2 = 80, n3 = 90.
8.
m = 19, n = 1000, p = 0.01.
9. m = 100, p = 0.75, k1= 65,
k2 = 80.
11. a = 1, b = 1.8, x1 = 1.3,
x2 = 1.6.
10.
12.
 Ax 2 ,0  x  2,

F ( x)  0, x  0,
1, x  2.

a = 0 , σ = 3см., n = 4,
α = -2см., β = 2см.
14.
n = 4, p = 0.25.
13.
15. a* = 2.2, n = 31,
σ2*= 1.5, p = 0.9.
16. n = 25, σ2*= 50,
p = 0.8.
n = 30, m = 6, l = 4.
17. n = 30, m = 18.
18.
42.30 42.49 42.56 42.37 42.31 42.28 42.35 42.21 42.32 42.21
.09
.37
.35
.57
.44
.34
.16
.31 .13
.28
.56
.17
.30
.16
.28
.40
.22
.28 .39
.16
.04
.21
.21
.35
.27
.30
.29
.45 .32
.63
.68
.25
.48
.40
.30
.17
.23
.16 .38
.50
.35
.40
.52
.36
.55
.54
.42
.29 .06
.31
.16
.39
.15
.67
.18
.03
.57
.78 .69
.46
.54
.53
.58
.08
.48
.48
.63
.44 .44
.24
.41
.40
.28
.25
.47
.24
.18
.27 .26
.35
.50
.28
.61
.41
.12
.43
.27
.44 .27
.11
Вариант 10.
1.
N = 4.
2.
3.
k = 7.
4. R = 12, S1 = 2.41, S2 = 3.42.
5.
n1 = 500, n2 = 320.
7.
p = 0.4, n = 12.
9.
m = 100, p = 0.75,
k1= 70, k2 = 85.
11. a = 1, b = 2.4, x1 = 1.5,
x2 = 2.
13. a = 2см., σ = 3см., n =4,
α = 0, β = 4см.
15.a* = 2.1, n = 28,
σ2*= 0.5, p = 0.95.
n = 12, l = 2, m = 5, k = 4.
6. m1 = 40, m2 = 20, m3 = 40, j =1,
n1 = 90, n2 = 90, n3 = 80.
8. m = 8, n = 1000, p = 0.011.
10.
n = 35, m = 8, l = 6.
12.
0, x  0,


F ( x)   A sin 2 x,0  x   ,
4

1, x   4 .
14.
16. n = 12, σ2*= 8,
p = 0.9
n = 12, p = 0.41.
17. n = 32, m = 19.
18.
21.18 21.32 21.77 21.47 21.71 21.51 21.36 21.68 21.47 21.34
.63
.65
.87
.57
.40
.34
.31
.24 .53
.41
.59
.24
.67
.13
.67
.42
.44
.35 .72
.57
.40
.57
.87
.28
.48
.15
.60
.52 .13
.82
.89
.44
.40
.62
.38
.48
.36
.44 .83
.35
.38
.17
.56
.86
.57
.28
.56
.50 .65
.60
.69
.53
.71
.25
.58
.44
.33
.58 .31
.21
.22
.32
.69
.75
.60
.40
.45
.33 .76
.58
.36
.50
.78
.47
.63
.35
.34
.77 .55
.41
.60
.42
.46
.64
.26
.47
.66
.41 .36
.49
Вариант 11.
1.
N = 5.
2.
3.
k = 8.
4. R = 13, S1 = 2.53, S2 = 3.62.
5.
n1 = 810, n2 = 70.
7.
p = 0.4, n = 12.
9.
n = 9, l = 2, m = 3, k = 6.
6. m1 = 40, m2 = 20, m3 = 40, j =2,
n1 = 90, n2 = 90, n3 = 80.
8.
m = 8, n = 200, p = 0.01.
m = 100, p = 0.75, k1= 68,
k2 = 78.
11. a = 2, b = 3.5, x1 = 2.5,
x2 = 3.
10.
n = 7, m = 5, l = 3.
12.
0, x  0,

F ( x)   A  x  (2  x),0  x  1,
0, x  1.

13. a = 0.2мм., σ = 0.1мм.,
α = 0.1мм., β = 0.99.
14.
15.a* = 2.1, n = 26,
σ2*= 0.5, p = 0.98.
16.n = 10, σ2*= 14,
p = 0.98.
a = 0.35.
17. n = 31, m = 8.
18.
72.45 72.57 72.27 72.47 72.62 72.66 72.63 72.43 72.71 72.61
.72
.62
.65
.69
.45
.24
.32
.64 .60
.38
.24
.47
.42
.28
.77
.52
.25
.22 .49
.56
.17
.67
.76
.51
.51
.32
.45
.48 .22
.40
.38
.75
.43
.39
.21
.14
.35
.77 .53
.41
.52
.35
.15
.40
.75
.59
.79
.36 .83
.29
.82
.30
.56
.41
.49
.39
.30
.38 .15
.54
.44
.66
.81
.11
.40
.86
.16
.40 .45
.87
.60
.44
.64
.35
.65
.42
.43
.55 .33
.46
.35
.28
.58
.69
.33
.44
.75
.47 .68
.59
Вариант 12.
1.
N = 6.
2.
3.
k = 5.
4. R = 14, S1 = 2.59, S2 =
5.57.
6. m1 = 40, m2 = 20, m3 = 40, j =3,
n1 = 90, n2 = 90, n3 = 80.
8.
m = 8, n = 300, p = 0.01.
5.
n1 = 450, n2 = 280.
7.
p = 0.4, n = 15.
9. m = 100, p = 0.7, k1= 60.
11.
a = 2, b = 2.8, x1 = 2.1,
x2 = 2.5.
13. a = 0.2мм., σ = 0.05мм.
α = 0.06мм., β = 0.995.
15. a* = 2.1, n = 24,
σ2*= 0.5, p = 0.6.
n = 9, l = 3, m = 5, k = 6.
10.
n = 7, m = 6, l = 2.
 A  Be  x , x  0,
F ( x)  
0, x  0.
2
12.
14.
16. n = 22, σ2*=30,
p = 0.9.
a =0.21.
17.
n = 32, m = 8.
18.
86.51 86.83 86.33 86.87 86.52 86.46 86.72 86.69 86.80 86.83
.77
.94
.67
.73
.57
.78
.56
.53 .76
.54
.34
.56
.95
.88
.60
.54
.84
.63 .61
.89
.67
.60
.48
.53
.88
.60
.65
.60 .42
.39
.84
.65
.87
.74
.55
.94
.47
.98 .78
.63
.41
.72
.62
.50
.73
.38
.62
.33 .68
.35
.64
.83
.75
.32
.47
.61
.58
.72 .57
.80
.91
.47
.60
.74
.62
.75
.50
.68 .67
.71
.52
.64
.73
.63
.74
.51
.55
.46 .64
.58
.86
.81
.61
.46
.47
.83
.60
.71 .77
.61
Вариант 13.
1.
N = 7.
2.
n = 9, l = 2, m = 3, k = 7.
3.
k = 6.
4.
R = 15, S1 = 2.5, S2 = 8.7.
5.
n1 = 270, n2 = 640.
7.
p = 0.5, n = 12.
9. m = 100, p = 0.7, k1= 70.
11.
a = 1, b = 2.8, x1 = -1,
x2 = 3.
13. a = 0.2мм., σ = 0.02мм.,
α = 0.04мм., β = 0.99.
6. m1 = 70, m2 = 20, m3 = 10, j =1,
n1 = 70, n2 = 80, n3 = 90.
8.
m = 8, n = 200, p = 0.2.
10.
n = 8, m = 4, l = 3.
12.
 Ae x2 , x  2,
F ( x)  
1  0.5e  x2 , x  2.
14.
15.a* = 1.7, σ2*= 0.8, 16. n = 23, σ2*= 8,
n = 31, p = 0.9.
p = 0.8
a =0.89.
17.
n = 33, m = 8.
18.
14.51 14.46 14.30 14.70 14.58 14.59 14.60 14.38 14.58 14.41
.74
.21
.35
.17
.33
.31
.85
.75 .87
.74
.52
.81
.51
.27
.46
.29
.65
.56 .48
.49
.69
.54
.53
.31
.50
.42
.13
.39 .63
.36
.81
.89
.68
.55
.59
.78
.88
.54 .58
.70
.70
.15
.41
.62
.66
.54
.58
.46 .32
.40
.43
.71
.42
.30
.18
.72
.76
.30 .46
.26
.65
.48
.25
.57
.45
.23
.30
.24 .66
.42
.38
.56
.34
.39
.22
.32
.64
.33 .70
.35
.79
.60
.41
.19
.51
.50
.54
.44 .34
.61
Вариант 14.
1.
N = 8.
2.
n = 8, l = 2, m = 4, k = 5.
3.
k = 7.
4.
R = 16, S1 = 2.6, S2 = 8.5.
5.
n1 = 380, n2 = 470.
7.
p = 0.4, n = 12.
9.
m = 100, p = 0.7,
k1= 80.
11. a = 1, b = 2.6, x1 = 1.5,
x2 = 3.
13.
a = 0 , σ = 0.1мм.,
α = 0.15мм., β = 0.98.
15.a* =1.7,n = 28,
σ2*= 0.8, p = 0.95.
6. m1 = 70, m2 = 20, m3 = 10, j =2,
n1 = 70, n2 = 80, n3 = 90.
8.
m = 8, n = 500, p = 0.01.
10.
n = 8, m = 5, l = 3.
12.
0, x    ,
2


1
F ( x)   A  Bx 
sin 2 x, x   ,
2
2


1, x   .
2

14.
16. n = 7, σ2*= 15,
p = 0.96.
a = 0.72.
17.
n = 34, m = 8.
18.
25.11 25.45 25.21 25.40 25.29 25.42 25.41 25.45 25.57 25.66
.31
.46
.34
.43
.58
.54
.33
.37 .48
.16
.30
.23
.21
.08
.49
.28
.30
.68 .25
.26
.25
.51
.49
.32
.55
.32
.37
.17 .55
.38
.03
.65
.53
.48
.20
.18
.05
.25 .34
.61
.38
.19
.59
.16
.38
.23
.29
.08 .20
.35
.50
.38
.20
.50
.26
.40
.33
.34 .33
.28
.13
.63
.46
.58
.37
.21
.20
.63 .23
.15
.46
.40
.63
.40
.42
.06
.35
.31 .36
.39
.26
.34
.41
.36
.34
.35
.51
.21 .52
.24
Вариант 15.
1.
N = 9.
2.
n = 8, l = 2, m = 5, k = 4.
3.
k = 8.
4.
R = 13, S1 = 2.25, S2 = 3.5.
5.
n1 = 640, n2 = 80.
7.
p = 0.5, n = 11.
9. m = 100, p = 0.6, k1= 82.
6. m1= 70, m2 = 20, m3 = 10, j =3,
n1 = 70, n2 = 80, n3 = 90.
8.
m = 8, n = 300, p = 0.02.
10.
11. a = 2, b = 3, x1 = 1, x2 = 3.
12.
13.
a = 0, σ = 0.05мм.,
α = 0.055мм., β = 0.97.
15.a* =1.7, σ2*= 0.8,
n = 26, p = 0.98.
14.
16. n =11, σ2*=12,
p = 0.98.
n = 10, m = 6, l = 5.
0, x  1,

1

F ( x)   A  arcsin x, x  1,


1, x  1.
a = 0.43.
17.
n = 35, m = 8.
18.
75.54 75.75 75.41 75.24 75.58 75.38 75.59 75.35 75.47 75.61
.35
.67
.34
.47
.14
.44
.23
.54 .50
.36
.43
.27
.74
.48
.55
.40
.45
.46 .28
.47
.17
.55
.36
.73
.22
.65
.57
.85 .32
.56
.42
.42
.52
.40
.62
.47
.39
.64 .19
.22
.66
.30
.36
.41
.84
.45
.15
.58 .48
.43
.29
.49
.16
.34
.45
.88
.53
.40 .33
.78
.76
.86
.68
.52
.50
.77
.30
.61 .81
.49
.40
.41
.39
.69
.72
.21
.63
.34 .62
.24
.39
.35
.65
.51
.36
.42
.71
.25 .31
.51
Вариант 16.
1.
N = 10.
2. n = 8, l = 3, m = 4, k = 5.
3.
k = 9.
4. R = 12, S1 = 2.4, S2 = 3.5.
5.
n1 = 180, n2 = 570.
7.
p = 0.5, n = 13.
6. m1 = 60, m2 = 10, m3 = 30, j =1,
n1 = 30, n2 = 80, n3 = 90.
8. m = 8, n = 700, p = 0.01.
9.
m = 100, p = 0.6, k1= 75.
10.
11.
a = 2, b = 4,8, x1 = 4.5,
x2 = 5.
12.
13.
a = 20мк. , σ = 10мк ,
α = 10мк., β = 0.96.
14.
n = 11, m = 4, l = 3.
15.a* = 1.7, σ2*= 0.8, 16. n = 11, σ2*= 56,
n = 24, p = 0.8.
p = 0.8
1

 A  3 , x  1,
F ( x)  
x
0, x  1.
a =0.17.
17. n = 36, m = 8.
18.
17.39 17.42 17.38 17.53 17.51 17.30 17.40 17.40 17.28 17.48
.30
.43
.50
.44
.30
.48
.48
.34 .73
.36
.64
.32
.52
.39
.53
.62
.40
.23 .45
.47
.64
.31
.75
.60
.43
.58
.67
.14 .37
.48
.22
.71
.28
.27
.51
.57
.51
.50 .48
.29
.55
.52
.33
.34
.33
.26
.48
.68 .54
.40
.40
.18
.46
.24
.30
.39
.60
.52 .62
.41
.20
.26
.63
.13
.47
.40
.56
.36 .78
.56
.59
.35
.56
.71
.46
.51
.62
.47 .29
.39
.20
.62
.72
.48
.42
.18
.41
.16 .39
.47
Вариант 17.
1.
3.
N = 11.
2. n = 10, l = 4, m = 6, k = 5.
k = 8.
4. R = 13, S1 = 2.5, S2 = 3.52.
5.
n1 = 590, n2 = 200.
7.
p = 0.5, n = 14.
9.
m = 100, p = 0.6, k1= 50.
6. m1 = 60, m2 = 10, m3 = 30, j =2,
n1 = 80, n2 = 90, n3 = 80.
8. m = 8, n = 400, p = 0.02.
10.
n = 12, m = 7, l = 4.
12.
 A  B sin x, x   ,
2


F ( x)  0, x    ,
2


1, x  2 .
11. a = -4, b = -2, x1 = -1, x2 = 0.
13.
a = 20мк. , σ = 50мк.,
α = 13мк, β = 0.94 .
14.
15.a* = 2.1, σ2*= 0.5, 16. n = 14, σ2*= 45,
n = 31, p = 0.8.
p = 0.98.
a = 0.95.
17. n = 30, m = 10.
18.
26.37 26.46 26.22 26.58 26.34 26.39 26.57 26.25 26.18 26.45
.61
.42
.55
.42
.45
.56
.46
.32 .54
.60
.44
.34
.74
.85
.50
.69
.83
.48 .59
.41
.15
.29
.59
.35
.49
.58
.47
.71 .42
.66
.48
.43
.40
.54
.68
.14
.35
.46 .48
.48
.50
.88
.41
.26
.21
.72
.60
.31 .50
.59
.38
.63
.34
.64
.52
.65
.23
.55 .34
.36
.76
.75
.54
.12
.39
.40
.66
.16 .78
.44
.62
.52
.50
.73
.51
.35
.77
.67 .64
.28
.27
.36
.34
.51
.82
.56
.66
.86 .45
.32
Вариант 18.
1.
N = 12.
2. n = 10, l = 5, m = 7, k = 7.
3.
k = 7.
4. R = 14, S1 = 2.6, S2 = 1.8.
5.
n1 = 620, n2 = 190.
7.
p = 0.5, n = 15.
9.
m = 100, p = 0.7, k1= 70.
6. m1 = 60, m2 = 10, m3 = 30, j =3,
n1 = 80, n2 = 90, n3 = 80.
8. m = 8, n = 900, p = 0.01.
10.
n = 17, m = 5, l = 3.
12.
0, x    ,
4


F ( x)   A  B sin 2 x, x   ,
4


1, x  4 .
14.
a = 0.38.
11. a = -3, b = -1, x1 = -2, x2 = 0.
13.
a = -20мк., σ = 10мк.,
α = 14мк., β = 0.992.
15.a* = 2.1, σ2*= 0.5, 16. n = 21, σ2*= 20,
n = 28, p = 0.98.
p = 0.96.
17. n = 38, m = 10.
18.
94.24 94.44 94.15 94.46 94.45 94.26 94.46 94.28 94.74 94.30
.49
.23
.48
.25
.50
.42
.27
.41 .29
.56
.43
.39
.68
.42
.32
.59
.41
.68 .32
.36
.18
.50
.38
.13
.51
.35
.11
.48 .40
.19
.31
.33
.14
.21
.36
.08
.24
.02 .54
.65
.20
.63
.31
.30
.12
.62
.38
.55 .44
.25
.42
.53
.21
.64
.34
.30
.15
.16 .50
.52
.54
.04
.34
.04
.22
.50
.34
.57 .26
.31
.46
.22
.40
.51
.55
.58
.22
.33 .30
.09
.38
.17
.48
.37
.35
.16
.35
.20 .28
.35
Вариант 19.
1.
3.
N = 13.
2. n = 12, l = 4, m = 6, k = 7.
k = 6.
4. R = 15, S1 = 2.7, S2 = 7.9.
5.
n1 = 730, n2 = 150.
7.
p = 0.6, n = 13.
6. m1 = 50, m2 = 20, m3 = 30, j =1,
n1 = 90, n2 = 80, n3 = 90.
8. m = 8, n = 500, p = 0.02.
9.
m = 200, p = 0.9, k1= 82.
10.
n = 25, m = 4, l = 3.
11.
a = 2, b = 4, x1 = 0, x2 = 3.
12.
0.5e 5 x , x  0,
F ( x)  
 A(1  e 5 x ), x  0.
13.
a = 0 , σ = 10мк.,
α = 12.5мк., β = 0.93 .
14.
a = 0.53.
15.a* = 1.1, σ2*= 0.3, 16. n = 8, σ2*= 4.5,
n = 26, p = 0.8.
p = 0.97
17. n = 39, m = 11.
18.
84.44 84.58 84.76 84.41 84.56 84.40 84.54 84.59 84.50 84.52
.89
.51
.54
.58
.94
.59
.34
.45 .60
.37
.61
.42
.39
.35
.68
.45
.54
.85 .72
.55
.54
.24
.53
.48
.60
.51
.43
.43 .64
.26
.50
.55
.95
.69
.48
.36
.62
.32 .66
.28
.55
.38
.68
.33
.61
.65
.82
.77 .65
.65
.75
.51
.96
.62
.22
.41
.71
.50 .98
.49
.58
.60
.57
.46
.66
.63
.60
.75 .31
.56
.38
.84
.79
.67
.81
.86
.25
.85 .78
.64
.74
.44
.40
.88
.45
.34
.64
.46 .91
.73
Вариант 20.
1.
N = 14.
2. n = 12, l = 4, m = 8, k = 6.
3.
k = 5.
4. R = 16, S1 = 2.7, S2 = 8.2.
5.
n1 = 540, n2 = 200.
7.
p = 0.6, n = 11.
9.
m = 150, p = 0.5, k1= 90.
6. m1 = 50, m2 = 20, m3 = 30, j =2,
n1 = 90, n2 = 80, n3 = 90.
8. m = 8, n = 1000, p = 0.011.
10.
11. a = 1, b = 3, x1 = 0, x2 = 2.
12.
13.
a = -40мк., σ = 20мк.,
α = 32мк., β = 0.995.
n = 20, m = 6, l = 3.
x 
x
 3  A  3 ,0  x  3,

 
F ( x)  0, x  0,
 B , x  3.


14.
15.a* = 2.2, σ2*= 0.5, 16. n = 27, σ2*= 5,
n = 24, p = 0.9.
p = 0.96.
a = 0.026.
17. n = 40, m = 8.
18.
22.40 22.21 22.15 22.49 22.16 22.45 22.26 22.33 22.50 22.28
.39
.34
.32
.43
.41
.44
.56
.42 .37
.41
.26
.55
.50
.30
.49
.24
.31
.20 .25
.19
.35
.24
.28
.08
.49
.64
.14
.58 .30
.44
.30
.47
.38
.34
.42
.30
.20
.58 .30
.31
.38
.20
.22
.02
.58
.12
.34
.28 .68
.05
.51
.48
.46
.45
.22
.56
.09
.30 .04
.36
.03
.61
.51
.39
.20
.34
.43
.38 .59
.63
.55
.13
.30
.11
.38
.65
.18
.40 .25
.30
.27
.54
.36
.31
.23
.32
.31
.24 .35
.39
Вариант 21.
1.
N = 15.
2. n = 8, l = 2, m = 3, k = 4.
3.
k = 9.
4. R = 14, S1 = 2.3, S2 = 3.5.
5.
n1 = 90, n2 = 690.
7.
p = 0.6, n = 18.
9.
m = 110, p = 0.8, k1= 95.
6. m1 = 50, m2 = 20, m3 = 30, j =3,
n1 = 90, n2 = 70, n3 = 90.
8. m = 9, n = 500, p = 0.004.
10.
12.
 (1  x) 2
 2 ,1  x  0,

1  x2

F ( x)   A 
,0  x  1,
2

1, x  1,

0, x  1.
14.
a = 0.38.
11. a = 1, b = 1.5, x1 = 0, x2 = 0.5.
13.
a = 15мк., σ = 15мк.,
α = 0.01.
n = 100, m = 2, l = 10.
15.a* = 1.7, σ2*= 0.8, 16. n = 19, σ2*= 40,
n = 32, p = 0.95.
p = 0.9.
17. n = 31, m = 14.
18.
48.27 48.28 48.47 48.51 48.35 48.47 48.42 48.17 48.21 48.47
.45
.31
.56
.25
.23
.37
.53
.31 .31
.17
.20
.42
.49
.47
.43
.20
.46
.20 .09
.23
.58
.51
.23
.39
.05
.25
.21
.26 .11
.41
.34
.22
.44
.66
.46
.58
.39
.62 .65
.40
.02
.20
.32
.42
.19
.22
.02
.46 .23
.59
.37
.18
.01
.24
.29
.15
.66
.46 .63
.28
.69
.36
.34
.41
.30
.51
.17
.30 .37
.69
.28
.31
.17
.14
.55
.29
.37
.45 .52
.35
.12
.40
.58
.33
.29
.53
.15
.49 .36
.13
Вариант 22.
1.
N = 16.
2. n = 8, l = 2, m = 3, k = 5.
3.
k = 14.
4. R = 12, S1 = 2.22, S2 = 3.53.
5.
n1 = 220, n2 = 550.
7.
p = 0.6, n = 14.
9.
m = 100, p = 0.33, k2 = 20.
11.
a = -1.5, b = 1.5, x1 = 0,
x2 = 1.
a = 15мк. , σ = 5мк ,
α = 0.02.
13.
6. m1 = 30, m2 = 30, m3 = 40, j =1,
n1 = 70, n2 = 70, n3 = 80.
8. m = 9, n = 600, p = 0.005.
10.
n = 120, m = 3, l = 12
12.
 Ae 2 ( x1) , x  1,
F ( x)  
 B  0.5e 2 ( x1) , x  1.
14.
15.a* = 1.7, σ2*= 0.8, 16. n = 20, σ2*= 36,
n = 28, p = 0.98.
p = 0.9.
a = 0.035.
17. n = 32, m = 15.
18.
55.53 55.15 55.31 55.49 55.26 55.48 55.25 55.40 55.37 55.47
.62
.44
.68
.67
.29
.50
.52
.22 .44
.51
.48
.79
.42
.25
.54
.34
.17
.38 .54
.42
.64
.23
.09
.50
.28
.59
.19
.12 .41
.27
.42
.62
.15
.37
.07
.76
.40
.45 .18
.77
.30
.41
.25
.55
.42
.15
.03
.57 .68
.40
.43
.40
.51
.75
.57
.35
.56
.39 .50
.08
.68
.38
.78
.14
.30
.55
.50
.61 .32
.44
.59
.12
.40
.32
.61
.34
.31
.32 .53
.63
.04
.36
.31
.23
.35
.40
.66
.26 .41
.27
Вариант 23.
1.
N = 17.
2. n = 8, l = 2, m = 4, k = 3.
3.
k = 5.
4. R = 13, S1 = 2.52, S2 = 3.52.
5.
n1 = 290, n2 = 700.
7.
p = 0.6, n = 20.
9.
m = 100, p = 0.3, k2 = 30.
6. m1 = 30, m2 = 30, m3 = 40, j =2,
n1 = 70, n2 = 70, n3 = 80.
8. m = 9, n = 400, p = 0.01.
10.
12.
0, x    ,
4


F ( x)   A sin 2 x, x   ,
4

B, x   4 .
14.
a = 0.218.
11. a = -1.5, b = 1, x1 = -1, x2 = 2.
13.
a = 30мк. , σ = 5мк.,
α = 0.025.
n = 120, m = 4, l = 15.
15.a* = 1.7, σ2*= 0.8, 16. n = 17, σ2*= 24,
n = 26, p = 0.8.
p = 0.96
17. n = 33, m = 16.
18.
70.39 70.53 70.54 70.88 70.65 70.45 70.50 70.63 70.38 70.77
.69
.51
.67
.58
.74
.64
.54
.47 .55
.46
.41
.64
.56
.59
.54
.53
.36
.28 .58
.62
.83
.64
.40
.68
.50
.71
.55
.57 .79
.24
.47
.25
.52
.34
.43
.33
.62
.78 .56
.46
.52
.48
.63
.73
.22
.44
.49
.32 .61
.39
.60
.81
.66
.86
.43
.64
.86
.45 .59
.84
.68
.68
.76
.44
.72
.77
.49
.50 .52
.57
.48
.46
.45
.64
.37
.29
.40
.41 .60
.65
.75
.50
.35
.51
.58
.42
.66
.75 .48
.76
Вариант 24.
1.
N = 18.
2. n = 8, l = 3, m = 5, k = 4.
3.
k = 6.
4. R = 14, S1 = 2.6, S2 = 5.6.
5.
n1 = 350, n2 = 440.
7.
p = 0.7, n = 14.
9.
m = 120, p = 0.33, k2 = 40.
11. a = -1.5, b = -1, x1 = -1,
x2 = 1.
13.
a = -15мм., σ = 15мм.,
α = 0.015.
6. m1 = 20, m2 = 40, m3 = 40, j =1,
n1 = 90, n2 = 70, n3 = 80.
8. m = 9, n = 600, p = 0.01.
10.
n = 130, m = 3, l = 12.
12.
 Ax 4 ,0  x  2,

F ( x)  0, x  0,
1, x  0.

14.
15.a* = 1.7, σ2*= 0.8, 16. n = 26, σ2*= 32,
n = 24, p = 0.9.
p = 0.9
a = 0.65
17. n = 34, m = 17.
18.
52.20 52.35 52.61 52.44 52.15 52.36 52.05 52.46 52.66 52.34
.36
.06
.38
.37
.21
.57
.20
.62 .58
.43
.13
.29
.31
.47
.42
.14
.35
.18 .65
.19
.46
.55
.45
.26
.60
.41
.12
.03 .34
.23
.59
.40
.52
.40
.38
.08
.24
.09 .16
.04
.28
.48
.30
.35
.54
.60
.51
.40 .28
.55
.32
.31
.48
.27
.51
.38
.36
.11 .52
.32
.48
.48
.32
.42
.20
.56
.58
.39 .17
.44
.40
.27
.21
.49
.33
.40
.41
.46 .41
.28
.25
.31
.39
.30
.25
.24
.34
.20 .54
.40
Вариант 25.
1.
N = 19.
2.
3.
k = 7.
4. R = 15, S1 = 2.5, S2 = 8.7.
5.
n1 = 470, n2 = 360.
7.
p = 0.7, n = 25.
9.
m = 200, p = 0.4, k2 = 80.
11. a = 0.5, b = 1, x1 = 0, x2 = 3.
13.
a = -30мк., σ = 10мк.,
α = 0.005.
n = 8, l = 1, m = 4, k = 2.
6. m1 = 30, m2 = 30, m3 = 40, j =3,
n1 = 90, n2 = 70, n3 = 80.
8. m = 9, n = 900, p = 0.012.
10.
n = 130, m = 2, l = 15.
12.
 A(1  e 4 x ), x  0,
F ( x)  
0, x  0.
14.
15.a* = 2.3, σ2*= 0.6, 16. n = 24, σ2*= 31,
n = 41, p = 0.98.
p = 0.88.
a = 0.816.
17. n = 45, m = 19.
18.
81.48 81.66 81.76 81.54 81.39 81.32 81.60 81.76 81.53 81.73
.52
.27
.59
.25
.54
.79
.78
.51 .67
.58
.79
.54
.66
.60
.69
.52
.58
.36 .21
.68
.64
.41
.46
.61
.31
.33
.65
.67 .46
.47
.31
.60
.79
.42
.53
.67
.89
.56 .57
.72
.83
.61
.40
.54
.49
.39
.51
.42 .84
.52
.31
.74
.55
.47
.68
.40
.47
.83 .57
.39
.22
.54
.61
.76
.48
.28
.50
.56 .63
.46
.64
.43
.37
.64
.50
.48
.36
.32 .60
.50
.50
.35
.45
.87
.79
.67
.62
.69 .48
.37
Вариант 26.
1.
N = 20.
2.
n = 9, l = 2, m = 3, k = 5.
3.
k = 8.
4.
R = 11, S1 = 2.3, S2 = 5.6.
5.
n1 = 680, n2 = 230.
7.
p = 0.7, n = 10.
9.
m = 200, p = 0.4, k2 = 90.
6. m1 = 20, m2 = 40, m3 = 40, j =2,
n1 = 90, n2 = 70, n3 = 80.
8. m = 10, n = 1000, p = 0.007.
10.
n = 140, m = 4, l = 15.
12.
 2x
 Ae , x  0,
F ( x)   
x

 B1  0.5e 2 , x  0.
 

11. a = 0.2, b = 2, x1 = 0, x2 = 4.
13.
a = 0 , σ = 25мм. , α = 0.03.
15.a* =1.1, σ2*= 0.5,
n = 28, p = 0.8.
14.
16. n = 9, σ2*= 36,
p = 0.96.
a = 0.74
17. n = 36, m = 19.
18.
19.50 19.81 19.60 19.78 19.52 19.44 19.42 19.70 19.66 19.81
.76
.95
.66
.71
.88
.76
.70
.54 .51
.75
.33
.55
.94
.87
.55
.55
.52
.84 .62
.56
.67
.60
.48
.53
.59
.60
.60
.65 .60
.65
.85
.66
.88
.75
.56
.95
.65
.48 .99
.39
.43
.74
.64
.52
.65
.40
.80
.64 .35
.64
.63
.82
.74
.31
.46
.60
.69
.57 .71
.47
.69
.45
.58
.72
.60
.73
.79
.48 .66
.79
.88
.65
.74
.64
.75
.52
.82
.56 .47
.59
.53
.83
.63
.50
.49
.85
.88
.62 .73
.63
Вариант 27.
1.
N = 3.
2. n = 9, l = 3, m = 4, k = 4.
3.
k = 9.
4. R = 12, S1 = 2.4, S2 = 5.6.
5.
n1 = 710, n2 = 160.
7.
p = 0.7, n = 15.
9.
m = 200, p = 0.4, k2 = 100.
10.
11.
a = 0.5, b = 0.5, x1 = 0.5,
x2 = 3.
a = 100мк., σ = 100мк.,
α = 0.012.
12.
13.
6. m1 = 20, m2 = 40, m3 = 40, j =3,
n1 = 90, n2 = 70, n3 = 80.
8. m = 9, n = 1000, p = 0.008.
n = 145, m = 5, l = 15.
14.
15.a* = 2.1, σ2*= 0.6, 16. n = 16, σ2*= 4,
n = 26, p = 0.9.
p = 0.9.
0, x  0,
F ( x)  
2
 A(1  e  x ), x  0.
a = 0.015.
17. n = 37, m = 20.
18.
31.42 31.54 31.24 31.44 31.58 31.63 31.59 31.39 31.68 31.98
.70
.44
.63
.67
.43
.22
.30
.62 .58
.36
.23
.60
.31
.27
.76
.51
.24
.21 .48
.51
.17
.67
.76
.51
.51
.32
.45
.48 .22
.40
.39
.76
.44
.42
.22
.15
.36
.78 .54
.42
.54
.37
.17
.44
.59
.81
.41
.38 .85
.31
.85
.33
.59
.11
.53
.43
.33
.41 .18
.57
.44
.66
.81
.34
.40
.86
.16
.40 .45
.87
.59
.43
.63
.70
.64
.41
.42
.54 .34
.45
.36
.29
.59
.40
.34
.45
.76
.48 .69
.60
Вариант 28.
1.
N = 4.
2. n = 9, l = 2, m = 6, k = 3.
3.
k = 10.
4. R = 13, S1 = 2.5, S2 = 3.5.
5.
n1 = 180, n2 = 270.
7.
p = 0.7, n = 11.
9.
m = 300, p = 0.8, k2 = 250.
11. a = 0.4, b = 4, x1 = 1, x2 = 5.
13.
a = -100мк., σ = 100мк.,
α = 0.018.
6. m1 = 10, m2 = 50, m3 = 40, j =1,
n1 = 70, n2 = 90, n3 = 80.
8. m = 72, n = 1000, p = 0.009.
10.
n = 150, m = 4, l = 16.
12.
0, x  0,

F ( x)   A  x 2 ,0  x  1,
1, x  1.

14.
a = 0.68.
15.a* = 2.1, σ2*= 0.5, 16. n = 15, σ2*= 54,
n = 24, p = 0.95.
p = 0.8.
17. n = 38, m = 21.
18.
18.09 18.43 18.19 18.38 18.56 18.40 18.39 18.43 18.55 18.64
.30
.35
.43
.42
.28
.53
.32
.36 .47
.15
.26
.23
.21
.08
.49
.28
.30
.68 .25
.26
.05
.52
.50
.33
.56
.33
.38
.18 .56
.39
.30
.67
.55
.50
.22
.20
.07
.27 .36
.63
.40
.22
.62
.19
.41
.26
.32
.11 .23
.38
.14
.39
.21
.51
.27
.41
.34
.35 .34
.29
.51
.64
.47
.59
.38
.22
.21
.64 .24
.16
.44
.38
.61
.38
.40
.04
.33
.29 .34
.37
.28
.36
.43
.38
.36
.37
.53
.23 .54
.26
Вариант 29.
1.
N = 5.
2.
3.
k = 9.
4. R = 14, S1 = 2.6, S2 = 5.6.
5.
n1 = 260, n2 = 620.
7.
p = 0.7, n = 12.
9.
m = 400, p = 0.6, k2 = 270.
6. m1 = 10, m2 = 50, m3 = 40, j =2,
n1 = 70, n2 = 90, n3 = 80.
8. m = 9, n = 1000, p = 0.001.
10.
n = 160, m = 6, l = 14.
12.
0, x  0,


F ( x)   A  sin x,0  x   ,
2

1, x   2 .
14.
a = 0.671.
11. a = 0.25, b = 1, x1 = 0, x2 = 3.
13.
a = 50мк., σ = 50мк.,
α = 0.014.
n = 9, l = 4, m = 5, k = 5.
15.a* = 1.7, σ2*= 0.8, 16. n = 17, σ2*= 32,
n = 31, p = 0.98.
p = 0.9.
17. n = 39, m = 22.
18.
66.72 66.51 66.38 66.21 66.55 66.35 66.56 66.32 66.44 66.58
.33
.65
.32
.45
.12
.42
.21
.52 .48
.34
.42
.26
.73
.47
.54
.39
.44
.45 .27
.48
.17
.55
.26
.73
.22
.65
.57
.85 .32
.56
.43
.43
.53
.41
.63
.48
.40
.65 .20
.23
.68
.32
.38
.43
.87
.68
.18
.61 .50
.45
.32
.52
.19
.37
.48
.90
.55
.42 .35
.81
.77
.87
.69
.53
.51
.78
.31
.62 .82
.50
.39
.40
.38
.68
.71
.20
.62
.33 .61
.23
.39
.35
.65
.51
.36
.42
.71
.25 .31
.51
Вариант 30.
1.
N = 6.
2.
n = 9, l = 3, m = 5, k = 4.
3.
k = 8.
4.
R = 15, S1 = 2.7, S2 = 7.9.
5.
n1 = 650, n2 = 140.
7.
p = 0.7, n = 13.
9.
m = 400, p = 0.7,k2 = 290.
6. m1 = 10, m2 = 50, m3 = 40, j =3,
n1 = 70, n2 = 90, n3 = 980.
8. m = 9, n = 1000, p = 0.011.
10.
11. a = 0.02, b = 2, x1 = 0, x2 = 3.
12.
n = 160, m = 5, l = 18.
0, x   ,
6


F ( x)   A  cos 3 x,   x   ,
6
3

1, x   3 .

13. a = 0 , σ = 30мк., α = 0.016. 14.
15.a* = 1.7, σ2*= 0.8, 16. n = 18, σ2*= 48,
n = 28, p = 0.8.
p = 0.96.
a = 0.324.
17. n = 40, m = 23.
18.
99.40 99.49 99.25 99.61 99.37 99.42 99.60 99.28 99.21 99.48
.63
.44
.57
.44
.47
.58
.48
.50 .56
.62
.45
.35
.75
.86
.51
.70
.84
.72 .59
.43
.15
.29
.59
.35
.49
.58
.47
.32 .42
.65
.47
.42
.39
.63
.67
.13
.34
.45 .49
.47
.48
.86
.39
.24
.19
.70
.58
.29 .22
.57
.35
.60
.31
.61
.49
.62
.20
.52 .40
.33
.76
.75
.54
.12
.39
.40
.66
.15 .78
.44
.29
.50
.48
.71
.49
.33
.75
.65 .62
.26
.60
.38
.36
.53
.84
.58
.68
.88 .47
.34
Вариант 31.
1.
N = 8.
2.
3.
k = 7.
4. R = 12, S1 = 2.52, S2 = 3.62.
5.
n1 = 230, n2 = 480.
7.
p = 0.4, n = 13.
9.
m = 400, p = 0.8, k2 = 300.
11. a = 0.05, b = 4, x1 = 0, x2 = 10.
13.
a = 20мк., σ = 40мк.,
α = 0.015.
n = 9, l = 2, m = 3, k = 6.
6. m1 = 20, m2 = 30, m3 = 50, j =1,
n1 = 70, n2 = 70, n3 = 90.
8. m = 9, n = 1000, p = 0.012.
10.
n = 165, m = 8, l = 20.
12.
0, x  1,

F ( x)   A( x 2  x),1  x  2,
1, x  2.

14.
15.a* = 1.7, σ2*= 0.8, 16. n = 16, σ2*= 64,
n = 26, p = 0.9.
p = 0.98.
a = 0.57.
17. n = 41, m = 24.
18.
91.21 91.41 91.12 91.43 91.42 91.23 91.43 91.25 91.44 91.27
.47
.21
.46
.23
.48
.40
.25
.39 .27
.54
.42
.38
.67
.41
.31
.58
.40
.67 .31
.35
.18
.50
.38
.13
.51
.35
.11
.48 .40
.19
.31
.33
.14
.21
.36
.08
.24
.02 .54
.65
.23
.66
.34
.33
.15
.65
.41
.58 .47
.28
.44
.55
.23
.66
.36
.32
.17
.18 .52
.54
.55
.05
.35
.05
.23
.51
.35
.58 .27
.32
.46
.23
.41
.52
.56
.59
.23
.34 .31
.10
.37
.16
.47
.36
.34
.15
.34
.19 .27
.35
Вариант 32.
1.
N = 4.
2. n = 13, l = 2, m = 3, k = 4.
3.
k = 7.
4. R = 12, S1 = 2.31, S2 = 4.51.
5.
n1 = 720, n2 = 140.
7.
p = 0.4, n = 12.
9. m = 600, p = 0.25, k2 = 200.
6. m1 = 20, m2 = 30, m3 = 50, j =2,
n1 = 70, n2 = 70, n3 = 90.
8. m = 7, n = 1000, p = 0.013.
10.
11.
a = 2, b = 3.5, x1 = 2.3,
x2 = 3.
12.
13.
a = -20мк., σ = 15мк.,
α = 0.01.
14.
n = 160, m = 7, l = 15.
0, x  0.5,

F ( x)   A  B arcsin 2 x, x  0.5,
1, x  0.5.

15.a* = 1.9, σ2*= 0.6, 16. n = 17, σ2*= 43,
n = 31, p = 0.89.
p = 0.94
a = 0.54.
17. n = 47, m = 8.
18.
12.19 12.43 12.55 12.39 12.15 12.27 12.60 12.29 12.51 12.58
.41
.51
.40
.16
.40
.23
.20
.36 .35
.41
.63
.70
.42
.37
.54
.28
.66
.37 .32
.10
.63
.69
.42
.37
.54
.38
.07
.46 .17
.24
.33
.48
.33
.36
.46
.23
.44
.37 .38
.52
.11
.51
.68
.22
.39
.06
.18
.30 .49
.21
.32
.13
.34
.05
.14
.34
.38
.32 .34
.64
.57
.27
.07
.47
.25
.22
.32
.26 .42
.28
.31
.54
.17
.24
.18
.25
.22
.53 .40
.56
.52
.51
.30
.67
.27
.11
.46
.26 .43
.50
Вариант 33.
1.
N = 5.
2.
n = 7, l = 2, m = 3, k = 4.
3.
k = 11.
4. R = 19, S1 = 5.71, S2 = 1.2.
5.
n1 = 90, n2 = 710.
7.
p = 0.5, n = 17.
9.
m = 600, p = 0.35, k2 = 150.
6. m1 = 20, m2 = 30, m3 = 50, j =3,
n1 = 70, n2 = 70, n3 = 90.
8. m = 8, n = 1200, p = 0.014.
10.
n = 180, m = 6, l = 14.
11. a = 1.6, b = 2.5, x1 = 1.8,
x2 = 2.
12.
B

 A  4 , x  2,
F ( x)  
x
0, x  2.
a = 51мк., σ = 55мк.,
α = 0.011.
14.
a = 0.024.
13.
15.a* = 1.8, σ2*= 0.7, 16. n = 11, σ2*= 24,
n = 28, p = 0.8.
p = 0.94.
17. n = 45, m = 21.
18.
20.68 20.41 20.28 20.53 20.44 20.44 20.20 20.22 20.35 20.59
.04
.32
.09
.78
.37
.67
.23
.48 .31
.07
.27
.63
.38
.41
.17
.16
.40
.33 .66
.34
.34
.50
.49
.28
.50
.49
.32
.59 .54
.18
.78
.51
.14
.25
.15
.30
.51
.41 .44
.37
.23
.07
.39
.33
.36
.39
.38
.19 .70
.50
.74
.35
.39
.66
.26
.33
.58
.45 .61
.57
.71
.24
.48
.57
.68
.65
.63
.31 .45
.17
.52
.15
.53
.56
.47
.59
.46
.42 .78
.71
.81
.51
.24
.47
.61
.11
.55
.62 .27
.55
Вариант 34.
1.
N = 2.
2. n = 17, l = 5, m = 6, k = 8.
3.
k = 12.
4. R = 17, S1 = 3.42, S2 = 1.44.
5.
n1 = 345, n2 = 420.
7.
p = 0.4, n = 17.
6. m1 = 30, m2 = 55, m3 = 15, j =1,
n1 = 60, n2 = 80, n3 = 90.
8. m = 5, n = 700, p = 0.021.
9.
m = 700, p = 0.45, k2 = 230.
11.
a = 1.3, b = 4.2, x1 = 2.6,
x2 = 3.7.
13.
a = 0 , σ = 20мк., α = 0.006. 14.
10.
n = 120, m = 15, l = 4.
12.
0, x  0,

F ( x)   Bx  Bx 2 ,0  x  2,
1, x  2.

15.a* = 2.2, σ2*= 0.8, 16. n = 17, σ2*= 33,
n = 41, p = 0.85.
p = 0.95.
a = 0.28.
17. n = 42, m = 21.
18.
24.81 24.85 24.68 24.58 24.95 24.71 24.59 24.88 24.65 24.84
.46
.66
.90
.69
.74
.89
.64
.73 .99
.66
.75
.54
.80
.77
.70
.47
.72
.56 .74
.50
.62
.93
.60
.36
.57
.99
.87
.39 .65
.41
.99
.61
.91
.79
.86
.54
.64
.82 .46
.98
.68
.74
.86
.79
.62
.84
.96
.48
.67
.78
.69
.57
.99
.74
.59
.62
.64
.82
.52
.69
.76
.78
.84
.56
.82
.84
.73
.38
.77
.58
.65
.74
.73
.55
.45
.76
.59
.53
.75
.72
.74
.42
.64
.82
.60
.66
.56
.67
.51
.68
Вариант 35.
1.
N = 7.
2. n = 13, l = 2, m = 5, k = 7.
3.
k = 14.
4. R = 15, S1 = 3.21, S2 = 2.01.
5.
n1 = 650, n2 = 315.
7.
p = 0.4, n = 21.
6. m1 = 30, m2 = 55, m3 = 15, j =2,
n1 = 60, n2 = 80, n3 = 90.
8. m = 4, n = 720, p = 0.013.
9. m =800, p = 0.75, k2 = 170.
10.
n = 121, m = 13, l = 5.
11.
a = 8.3, b = 9.5, x1 = 8,
x2 = 9.1.
12.
 Ae x3 , x  3,

F ( x )   1  x 3
1  e , x  3.
 3
13.
a =22мм., σ = 40мм.,
α = 0.005.
14.
a = 0.025.
15. a* = 2.2, n = 41, 16. n = 17, σ2*= 37,
σ2*= 0.7, p = 0.89.
p = 0.9.
17. n = 41, m = 22.
18.
33.84 33.61 33.50 33.38 33.51 33.82 33.71 33.46 33.49 33.61
.71
.49
.35
.68
.17
.48
.53
.58 .47
.62
.36
.65
.29
.53
.63
.44
.26
.50 .55
.56
.60
.66
.47
.59
.52
.27
.43
.59 .51
.33
.45
.30
.20
.47
.55
.87
.51
.45 .81
.54
.63
.49
.78
.37
.69
.70
.76
.72 .23
.74
.96
.90
.69
.65
.77
.22
.39
.46 .40
.35
.73
.37
.55
.28
.67
.63
.55
.32 .73
.80
.31
.79
.67
.83
.34
.41
.64
.60 .86
.59
.50
.56
.18
.39
.57
.41
.57
.36 .56
.42
Вариант 36.
1.
N = 6.
2. n = 15, l = 3, m = 9, k = 10.
3.
k = 3.
4. R = 15, S1 = 4.5, S2 = 1.12.
5.
n1 = 620, n2 = 350.
7.
p = 0.5, n = 23.
9.
11.
13.
6. m1 = 30, m2 = 55, m3 = 15, j =3,
n1 = 60, n2 = 80, n3 = 90.
8. m = 3, n = 670, p = 0.021.
m = 500, p = 0.8,
k1= 72, k2 = 82.
a = 2, b = 5, x1 = 3.1,
x2 = 4.2.
10.
n = 140, m = 15, l = 4.
12.
 3x
 Ae , x  0,
F ( x)   
x
1 3 
 B 2  e , x  0.

3
 

a = 4м., σ = 45м., n = 3,
α = 1м., β = 80м.
14.
n = 11, p = 0.35.
15.a* = 2.3, n = 35, 16. n = 17, σ2*= 14, 17.
σ2*= 0.4, p = 0.96.
p = 0.91.
n = 45, m = 16.
18.
35.85 35.49 35.56 35.40 35.67 35.81 35.49 35.78 35.52 35.56
.44
.71
.58
.61
.58
.51
.74
.60 .51
.71
.48
.66
.61
.94
.67
.27
.32
.50 .58
.39
.57
.59
.55
.65
.77
.65
.51
.73 .44
.61
.67
.83
.60
.47
.57
.90
.80
.56 .72
.80
.65
.64
.62
.45
.34
.66
.37
.38 .79
.31
.28
.69
.46
.68
.48
.75
.68
.71 .63
.70
.64
.91
.72
.56
.82
.42
.46
.66 .87
.66
.84
.62
.47
.48
.60
.57
.88
.69 .43
.55
.67
.41
.54
.78
.66
.30
.54
.52 .64
.53
Вариант 37.
1.
N = 8.
2. n = 19, l = 3, m = 5, k = 7.
3.
k = 6.
4. R = 17, S1 = 3.21, S2 = 4.5.
5.
n1 = 200, n2 = 750.
7.
p = 0.6, n = 17.
9.
m = 500, p = 0.65,
k1= 72, k2 = 92.
a = 7.1, b = 9.8, x1 = 7.5,
x2 = 9.
10.
a = 0.4мм., σ = 1мм.,
n = 2,α = 1мм., β = 3мм.
14.
11.
13.
15. a* = 2.3, n = 30,
σ2*= 0.9, p = 0.8.
6. m1 = 20, m2 = 55, m3 = 25, j =1,
n1 = 61, n2 = 71, n3 = 85.
8. m = 6, n = 750, p = 0.001.
12.
16. n = 19, σ2*= 21,
p = 0.81.
n = 125, m = 17, l = 5.
 Ax 5 ,0  x  3,

F ( x)  0, x  0,
1, x  3.

n = 9, p = 0.53.
17. n = 42, m = 5.
18.
45.16 45.19 45.67 45.26 45.73 45.53 45.49 45.47 45.55 45.35
.64
.42
.38
.54
.44
.26
.38
.66 .24
.45
.52
.28
.19
.29
.65
.38
.70
.49 .41
.70
.35
.52
.81
.70
.30
.33
.85
.28 .59
.09
.68
.18
.36
.14
.43
.54
.30
.80 .34
.62
.27
.57
.32
.64
.52
.12
.40
.71 .56
.51
.41
.65
.66
.35
.79
.62
.27
.39 .43
.67
.20
.82
.48
.47
.63
.38
.66
.10 .78
.42
.29
.39
.69
.33
.48
.47
.50
.52 .47
.36
.39
.74
.34
.25
.57
.68
.26
.63 .76
.55
Вариант 38.
1.
N = 9.
2. n = 25, l = 7, m = 10, k = 13.
3.
k = 7.
4.
R = 25, S1 = 1.8, S2 = 2.6.
5.
n1 = 210, n2 = 735.
7.
p = 0.3, n = 23.
9.
m = 500, p = 0.81,
k1= 58, k2 = 88.
a = 1.51, b = 5, x1 = 1.6,
x2 = 3.
10.
n = 151, m = 13, l = 5.
12.
 Ax x 2
 4  16 ,0  x  4,

F ( x)  0, x  0,
 B, x  4.


a = 3см., σ = 5см.,
n = 4, β = 6см. α = 0,
14.
n = 11, p = 0.88.
11.
13.
6. m1 = 20, m2 = 55, m3 = 25, j =2,
n1 = 61, n2 = 71, n3 = 85.
8. m = 9, n = 735, p = 0.015.
15. a* = 2.7, n = 39, 16. n = 15, σ2*= 14,
σ2*= 0.5, p = 0.88.
p = 0.7.
17. n = 45, m = 14.
18.
54.42 54.50 54.29 54.44 54.62 54.84 54.49 54.50 54.85 54.58
.39
.66
.66
.42
.53
.41
.34
.57 .65
.72
.73
.41
.47
.33
.48
.33
.56
.51 .39
.56
.58
.38
.82
.63
.74
.46
.19
.38 .67
.35
.49
.51
.42
.52
.30
.48
.40
.61 .52
.56
.83
.75
.57
.38
.87
.55
.67
.50 .48
.60
.56
.48
.63
.43
.58
.74
.48
.22 .55
.23
.66
.32
.46
.23
.69
.38
.60
.71 .59
.40
.40
.25
.68
.59
.83
.57
.77
.34 .52
.68
.48
.64
.43
.70
.45
.31
.47
.62 .66
.53
Вариант 39.
1.
N = 10.
2. n = 15, l = 3, m = 7, k = 11.
3.
k = 11.
4.
5.
n1 = 315, n2 = 625.
7.
p = 0.3, n = 25.
9.
m = 500, p = 0.6,
k1= 75,k2 = 80.
a = 1.4, b = 2.1, x1 = 1.5,
x2 = 2.
10.
n = 141, m = 21, l = 4.
12.
0, x   ,
2


F ( x)   A  B cos 2 x, x   ,
2

1, x   2 .
a = 0.2мм., σ = 0.05мм.,
n = 5,α = 0.1мм., β = 0.9мм.
14.
11.
13.
15. a* = 1.7, n = 31,
σ2*= 0.7, p = 0.96.
R = 19, S1 = 5.4, S2 = 7.1.
6. m1 = 20, m2 = 55, m3 = 25, j =3,
n1 = 61, n2 = 71, n3 = 85.
8. m = 8, n = 825, p = 0.025.
16. n = 23, σ2*= 20,
p = 0.97.
n = 4, p = 0.6.
17. n = 39, m = 14.
18.
71.40 71.57 71.90 71.49 71.70 71.56 71.74 71.97 71.56 71.30
.85
.60
.51
.86
.78
.29
.31
.59 .60
.57
.37
.49
.67
.61
.49
.74
.77
.75 .71
.42
.61
.75
.72
.37
.64
.68
.45
.27 .38
.88
.61
.92
.66
.72
.47
.53
.69
.83 .61
.33
.70
.74
.69
.23
.62
.24
.95
.47 .66
.59
.40
.55
.50
.47
.29
.87
.44
.68 .59
.45
.53
.87
.70
.32
.57
.65
.59
.34 .46
.64
.93
.58
.67
.49
.84
.90
.50
.35 .51
.81
.54
.46
.66
.55
.80
.30
.28
.62 .98
.54
Вариант 40.
1.
N = 12.
2. n = 18, l = 5, m = 7, k = 12.
3.
k = 11.
4. R = 21, S1 = 3.75, S2 = 11.5.
5.
n1 = 591, n2 = 322.
7.
p = 0.4, n = 21.
6. m1 = 35, m2 = 35, m3 = 30, j =1,
n1 = 65, n2 = 70, n3 = 88.
8. m = 5, n = 870, p = 0.004.
9.
11.
13.
m = 500, p = 0.92,
k1= 60, k2 = 120.
a = 11.7, b = 21, x1 = 12,
x2 = 19.
10.
12.
 A  B cos x, x   ,

F ( x)  0, x   ,
1, x   .

a = 0 , σ = 10мк., n = 2 ,
α = 5мк., β = 15мк.
14.
n = 3, p = 0.71.
15. a* = 2.7, n = 41,
σ2*= 0.4, p = 0.85.
n = 117, m = 21, l = 19.
16. n = 45, σ2*= 31,
p = 0.93.
17. n = 40, m = 5.
18.
78.40 78.59 78.66 78.47 78.41 78.38 78.45 78.31 78.42 78.31
.19
.47
.31
.67
.38
.44
.26
.41 .23
.38
.66
.27
.40
.26
.54
.50
.32
.38 .49
.73
.14
.31
.45
.45
.37
.40
.39
.55 .42
.26
.78
.35
.58
.50
.40
.27
.33
.26 .48
.60
.45
.50
.62
.46
.65
.64
.52
.39 .16
.41
.26
.49
.25
.77
.58
.13
.67
.88 .79
.56
.64
.63
.68
.18
.28
.58
.73
.54 .54
.34
.60
.50
.38
.35
.57
.34
.28
.37 .36
.45
.51
.38
.71
.51
.22
.53
.37
.54 .37
.21
Вариант 41.
1.
N = 13.
2. n = 19, l = 3, m = 10, k = 15.
3.
k = 3.
4. R = 21, S1 = 3.15, S2 = 4.5.
5.
n1 = 691, n2 = 305.
7.
p = 0.32, n = 31.
9.
11.
13.
m = 500, p = 0.8, k1= 70.
a = -3, b = 2, x1 = -2,
x2 = 3.
a = 2см., σ = 3см.,
α = 0, β = 6см.
15. a* = 2.3, n = 32,
σ2*= 0.8, p = 0.9.
6. m1 = 35, m2 = 35, m3 = 30, j =2,
n1 = 65, n2 = 70, n3 = 88.
8. m = 6, n = 691, p = 0.003.
10.
n = 115, m = 10, l = 7.
12.
0, x  1,

1

F ( x)   A  arccos x, x  1,


1, x  1.
14.
16. n = 32, σ2*= 40,
p = 0.8.
a = 0.51.
17. n = 35, m = 14.
18.
80.55 80.43 80.25 80.45 80.60 80.64 80.61 80.69 80.41 80.59
.70
.60
.63
.67
.43
.22
.30
.62 .58
.36
.22
.43
.40
.26
.75
.50
.23
.20 .47
.54
.15
.65
.74
.69
.19
.30
.43
.46 .20
.38
.36
.73
.41
.37
.49
.12
.33
.75 .51
.39
.50
.33
.13
.48
.73
.57
.77
.34 .81
.27
.80
.27
.54
.09
.47
.37
.28
.36 .13
.52
.42
.63
.79
.49
.38
.84
.14
.38 .43
.85
.58
.42
.62
.33
.63
.40
.41
.53 .31
.44
.33
.26
.56
.67
.31
.42
.73
.45 .66
.57
Вариант 42.
1.
N = 15.
2. n = 21, l = 5, m = 13, k = 16.
3.
k = 15.
4. R = 15, S1 = 4.5, S2 = 1.2.
5.
n1 = 330, n2 = 570.
7.
p = 0.35, n = 22.
9.
m = 500, p = 0.81, k1= 90.
11.
13.
6. m1 = 35, m2 = 32, m3 = 33, j =3,
n1 = 65, n2 = 70, n3 = 88.
8. m = 4, n = 895, p = 0.019.
10.
n = 190, m = 21, l = 3.
a = 2, b = 3.7, x1 = 2.3,
x2 = 3.5.
12.
0, x  0,

F ( x)   A  2 x 3 ,0  x  2,
1, x  2.

a = 5м., σ = 25м.,
α = 1м., β = 15м.
14.
a = 0.21.
15. a* = 1.2, n = 21,
σ2*= 0.7, p = 0.85.
16. σ2*= 13,
n = 17, p = 0.81.
17. n = 35, m = 9.
18.
82.48 82.80 82.30 82.84 82.49 82.43 82.69 82.66 82.77 82.80
.74
.91
.64
.70
.54
.75
.53
.50 .73
.51
.31
.53
.92
.85
.57
.51
.81
.60 .58
.86
.64
.57
.45
.50
.85
.57
.62
.57 .39
.36
.81
.62
.84
.71
.52
.91
.44
.95 .75
.60
.38
.69
.59
.47
.70
.35
.59
.30 .65
.32
.61
.80
.72
.29
.44
.58
.55
.69 .54
.77
.88
.44
.57
.71
.59
.72
.47
.65 .64
.68
.49
.61
.71
.60
.71
.48
.52
.43 .61
.55
.83
.78
.58
.43
.44
.80
.57
.68 .74
.58
Вариант 43.
1.
N = 6.
2. n = 19, l = 7, m =12, k = 15.
3.
k = 18.
4. R = 61, S1 = 15.31, S2 = 12.3.
5.
n1 = 541, n2 = 352.
6. m1 = 44, m2 = 28, m3 = 28, j =1,
n1 = 79, n2 = 88, n3 = 85.
8. m = 4, n = 940, p = 0.002.
7.
p = 0.36, n = 100.
9.
m = 600, p = 0.7, k1= 91.
11.
a = 1.6, b = 3, x1 = 1.8,
x2 = 2.9.
13.
a = 0.1мм., σ = 2мм.,
α =1мм., β = 2мм.
15. a* = 2.3, n = 25,
σ2*= 0.4, p = 0.97.
10.
12.
n = 120, m = 21, l = 5.


0, x  3 ,




F ( x)  a  sin 3x,  x  ,
3
6



1, x  6 .

14.
16. n = 31, σ2*= 35,
p = 0.89.
a = 0.61.
17. n = 41, m = 17.
18.
88.26 88.42 88.66 88.54 88.55 88.56 88.47 88.34 88.37 88.54
.70
.17
.31
.13
.29
.27
.81
.71 .83
.70
.48
.77
.47
.23
.55
.25
.61
.52 .44
.45
.65
.50
.49
.27
.42
.38
.09
.35 .59
.32
.77
.85
.64
.51
.46
.74
.84
.50 .54
.66
.66
.11
.37
.58
.62
.50
.54
.42 .28
.36
.39
.67
.38
.26
.14
.68
.72
.26 .42
.22
.61
.44
.21
.53
.41
.19
.26
.20 .62
.38
.34
.52
.30
.35
.18
.28
.60
.40 .66
.31
.75
.56
.37
.15
.47
.46
.50
.29 .30
.57
Вариант 44.
1.
N = 4.
2. n = 21, l = 8, m =17, k = 11.
3.
k = 21.
4. R = 19, S1 = 7.1, S2 = 3.21.
5.
n1 = 721, n2 = 232.
7.
p = 0.7, n = 23.
9.
m = 600, p = 0.5, k1= 65.
11.
13.
6. m1 = 44, m2 = 29, m3 = 27, j =2,
n1 = 90, n2 = 85, n3 = 98.
8. m = 7, n = 721, p = 0.001.
10.
n = 121, m = 15, l = 5.
a = -3, b = 5, x1 = 2,
x2 = 4.
12.
0, x  1,

F ( x)   A x 3  0.5 x 2 ,1  x  3,
1, x  3.

a = 5м., σ = 75м.,
α = 1м., β = 60м.
14.
15. a* = 1.7, n = 25,
σ2*= 0.9, p = 0.88.
16. n = 16, σ2*= 22,
p = 0.95.


a = 0.28.
17. n = 42, m = 15.
18.
92.06 92.40 92.16 92.35 92.53 92.37 92.36 92.40 92.52 92.61
.26 .41
.29
.38
.24
.23
.28
.32 .43
.10
.25 .18
.44
.03
.44
.27
.25
.63 .20
.21
.20 .65
.48
.27
.50
.49
.32
.12 .50
.33
.03 .60
.16
.43
.15
.13
.00
.20 .29
.56
.33 .14
.54
.11
.33
.18
.24
.03 .15
.30
.45 .33
.15
.45
.21
.35
.28
.29 .28
.23
.08 .58
.41
.53
.32
.16
.15
.58 .18
.10
.41 .35
.58
.35
.38
.01
.30
.26 .31
.34
.21 .29
.36
.31
.29
.30
.46
.16 .47
.19
Вариант 45.
1.
N = 3.
2. n = 24, l = 5, m = 10, k = 13.
3.
k = 30.
4. R = 71, S1 = 21.3, S2 = 41.2.
5.
n1 = 412, n2 = 531.
7.
p = 0.7, n = 29.
9.
m = 700, p = 0.65,
k1= 120.
a = 0.1, b = 2.9, x1 = 1,
x2 = 3.3.
10.
a = 0.5м., σ = 7м.,
α = 1м., β = 25м.
14.
11.
13.
6. m1 = 43, m2 = 31, m3 = 26, j =3,
n1 = 71, n2 = 85, n3 = 89.
8. m = 7, n = 649, p = 0.009.
12.
n = 140, m = 21, l = 8.

0, x  0,



F ( x)   A  2 sin 3 x,0  x  ,
6



1, x  6 .
15. a* = 1.8, n = 35, 16. n = 34, σ2*= 16,
σ2*= 0.6, p = 0.9.
p = 0.8
a = 0.56.
17. n = 42, m = 16.
18.
96.69 96.48 96.35 96.35 96.52 96.32 96.53 96.29 96.41 96.55
.29
.61
.28
.41
.08
.38
.17
.48 .44
.30
.37
.21
.68
.42
.49
.34
.39
.40 .22
.41
.12
.49
.20
.67
.16
.59
.51
.79 .26
.50
.36
.36
.46
.34
.56
.41
.33
.58 .13
.16
.60
.24
.30
.35
.78
.39
.09
.52 .42
.37
.23
.43
.10
.28
.39
.82
.47
.34 .27
.72
.70
.80
.62
.46
.44
.71
.24
.55 .85
.43
.34
.35
.33
.63
.66
.15
.57
.28 .56
.18
.33
.26
.59
.45
.30
.36
.65
.19 .25
.45