From f256237ed2a7f1f75f0d9ddbc7d7572256cc522b Mon Sep 17 00:00:00 2001 From: nik Date: Mon, 20 Oct 2025 14:39:37 +0300 Subject: [PATCH] add hw 7 --- pracs/prac7/ans.pdf | Bin 0 -> 144559 bytes pracs/prac7/ans.typ | 223 +++++++++++++++++++++++++++++++++++++++ pracs/prac7/assets/1.png | Bin 0 -> 27031 bytes pracs/prac7/assets/2.png | Bin 0 -> 23570 bytes pracs/prac7/assets/3.png | Bin 0 -> 26359 bytes pracs/prac7/assets/4.png | Bin 0 -> 24595 bytes pracs/prac7/scripts/1.py | 34 ++++++ pracs/prac7/scripts/2.py | 20 ++++ pracs/prac7/scripts/3.py | 22 ++++ pracs/prac7/scripts/4.py | 23 ++++ pracs/prac7/tasks.pdf | Bin 0 -> 708172 bytes 11 files changed, 322 insertions(+) create mode 100644 pracs/prac7/ans.pdf create mode 100644 pracs/prac7/ans.typ create mode 100644 pracs/prac7/assets/1.png create mode 100644 pracs/prac7/assets/2.png create mode 100644 pracs/prac7/assets/3.png create mode 100644 pracs/prac7/assets/4.png create mode 100644 pracs/prac7/scripts/1.py create mode 100644 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in P: + cum += p + F.append(cum) + +plt.figure(figsize=(12, 5)) + +# График вероятностей +plt.subplot(1, 2, 1) +plt.bar(xi, P, color="skyblue") +plt.xlabel("xi") +plt.ylabel("P(xi)") +plt.title("Ряд распределения") + +# График функции распределения +plt.subplot(1, 2, 2) +plt.step(xi, F, where="post", color="orange") +plt.scatter(xi, F, color="red") +plt.xlabel("xi") +plt.ylabel("F(xi)") +plt.title("Функция распределения") + +plt.tight_layout() +plt.savefig("1.png") diff --git a/pracs/prac7/scripts/2.py b/pracs/prac7/scripts/2.py new file mode 100644 index 0000000..177da5d --- /dev/null +++ b/pracs/prac7/scripts/2.py @@ -0,0 +1,20 @@ +import matplotlib.pyplot as plt +import numpy as np + +# Задача 2: гипергеометрическое распределение +xi2 = [0, 1, 2] +P2 = [1 / 45, 16 / 45, 28 / 45] +F2 = np.cumsum(P2) + +plt.figure(figsize=(7, 5)) +plt.bar(xi2, P2, color="skyblue", alpha=0.7, label="Вероятности") +plt.step(xi2, F2, where="post", color="orange", label="Функция распределения") +plt.scatter(xi2, F2, color="red") +plt.title("Задача 2: гипергеометрическое распределение") +plt.xlabel("xi") +plt.ylabel("P / F") +plt.xticks(xi2) +plt.legend() +plt.grid(axis="y", linestyle="--", alpha=0.6) +plt.tight_layout() +plt.savefig("2.png") diff --git a/pracs/prac7/scripts/3.py b/pracs/prac7/scripts/3.py new file mode 100644 index 0000000..dbe46ba --- /dev/null +++ b/pracs/prac7/scripts/3.py @@ -0,0 +1,22 @@ +import matplotlib.pyplot as plt +import numpy as np + +# Задача 3: геометрическое распределение +p3 = 0.9 +q3 = 1 - p3 +xi3 = list(range(1, 11)) # ограничим до 10 вопросов +P3 = [p3 ** (k - 1) * q3 for k in xi3] +F3 = np.cumsum(P3) + +plt.figure(figsize=(7, 5)) +plt.bar(xi3, P3, color="lightgreen", alpha=0.7, label="Вероятности") +plt.step(xi3, F3, where="post", color="orange", label="Функция распределения") +plt.scatter(xi3, F3, color="red") +plt.title("Задача 3: геометрическое распределение") +plt.xlabel("xi") +plt.ylabel("P / F") +plt.xticks(xi3) +plt.legend() +plt.grid(axis="y", linestyle="--", alpha=0.6) +plt.tight_layout() +plt.savefig("3.png") diff --git a/pracs/prac7/scripts/4.py b/pracs/prac7/scripts/4.py new file mode 100644 index 0000000..039e7f1 --- /dev/null +++ b/pracs/prac7/scripts/4.py @@ -0,0 +1,23 @@ +from math import exp, factorial + +import matplotlib.pyplot as plt +import numpy as np + +# Задача 4: распределение Пуассона +lambda4 = 2 +xi4 = list(range(0, 11)) +P4 = [lambda4**k * exp(-lambda4) / factorial(k) for k in xi4] +F4 = np.cumsum(P4) + +plt.figure(figsize=(7, 5)) +plt.bar(xi4, P4, color="plum", alpha=0.7, label="Вероятности") +plt.step(xi4, F4, where="post", color="orange", label="Функция распределения") +plt.scatter(xi4, F4, color="red") +plt.title("Задача 4: распределение Пуассона") +plt.xlabel("xi") +plt.ylabel("P / F") +plt.xticks(xi4) +plt.legend() +plt.grid(axis="y", linestyle="--", alpha=0.6) +plt.tight_layout() +plt.savefig("4.png") diff --git a/pracs/prac7/tasks.pdf b/pracs/prac7/tasks.pdf new file mode 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