Proability_and_Probability_dist.ipynb

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  "metadata": {
    "colab": {
      "provenance": []
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    },
    "language_info": {
      "name": "python"
    }
  },
  "cells": [
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "DB1AzA-EKI1y"
      },
      "outputs": [],
      "source": [
        "# Function Definitions\n",
        "\n",
        "def simple_probability(event_outcomes, total_outcomes):\n",
        "    return event_outcomes / total_outcomes\n",
        "\n",
        "def addition_rule(prob_A, prob_B, prob_A_and_B):\n",
        "    return prob_A + prob_B - prob_A_and_B\n",
        "\n",
        "def conditional_probability(prob_A_and_B, prob_B):\n",
        "    return prob_A_and_B / prob_B\n",
        "\n",
        "def bayes_theorem(prob_A, prob_B_given_A, prob_B):\n",
        "    \"\"\"\n",
        "    Calculate the probability of A given B using Bayes' Theorem.\n",
        "\n",
        "    :param prob_A: Prior probability of A.\n",
        "    :param prob_B_given_A: Probability of B given A.\n",
        "    :param prob_B: Total probability of B.\n",
        "    :return: Probability of A given B.\n",
        "    \"\"\"\n",
        "    return (prob_B_given_A * prob_A) / prob_B\n"
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# Using the Functions\n",
        "\n",
        "# Probability of a new credit card being activated within the first month\n",
        "prob_card_activation = simple_probability(500, 2000)\n",
        "print(\"Probability of Credit Card Activation in First Month:\", prob_card_activation)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "tQs3Av58K-wU",
        "outputId": "c28b8f1d-7fdd-4b65-81e5-092525792c62"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Probability of Credit Card Activation in First Month: 0.25\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# Probability of a new customer taking a loan or opening a savings account\n",
        "prob_loan_or_savings = addition_rule(0.30, 0.40, 0.10)\n",
        "print(\"Probability of Loan or Savings Account:\", prob_loan_or_savings)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "jk0VhGw-MSHK",
        "outputId": "26170b36-acd6-4404-b16b-6fada17a8a54"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Probability of Loan or Savings Account: 0.6\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# Probability of loan default given it's a high-risk loan\n",
        "prob_default_given_high_risk = conditional_probability(0.05, 0.20)\n",
        "print(\"Probability of Default Given High-Risk Loan:\", prob_default_given_high_risk)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "_gQXX6YXO5Dz",
        "outputId": "f835adb3-f0ce-42e2-b512-fa71b368e873"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Probability of Default Given High-Risk Loan: 0.25\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# Applying Bayes' Theorem to calculate the probability of a customer defaulting on a loan given that they have a poor credit score\n",
        "\n",
        "prob_A_given_B = bayes_theorem(0.05, 0.7, 0.1)\n",
        "print(\"probability of a customer defaulting on a loan given that they have a poor credit score:\",prob_A_given_B)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "LIpLX5LjO9HP",
        "outputId": "cd633f54-1944-4f97-b700-c67ba4455cc6"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "probability of a customer defaulting on a loan given that they have a poor credit score: 0.3499999999999999\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "import numpy as np\n",
        "from scipy.stats import binom\n",
        "\n",
        "# Define parameters\n",
        "n = 1000  # Total number of loans issued\n",
        "p = 0.05  # Estimated probability of default on a loan\n",
        "\n",
        "# Calculate probabilities of different numbers of defaults\n",
        "probabilities = [binom.pmf(k, n, p) for k in range(n+1)]\n",
        "\n",
        "# Example: Probability of more than 20 but less than 50 defaults\n",
        "prob_20_to_50_defaults = sum(probabilities[21:50])\n",
        "\n",
        "# Calculate expected number of defaults\n",
        "expected_defaults = n * p\n",
        "\n",
        "print(f\"Probability of 20 to 50 defaults: {prob_20_to_50_defaults:.4f}\")\n",
        "print(f\"Expected number of defaults: {expected_defaults}\")"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "SHrPhCmrPuOA",
        "outputId": "49960071-1950-4d6a-f8be-a59864bdca0a"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Probability of 20 to 50 defaults: 0.4797\n",
            "Expected number of defaults: 50.0\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "import numpy as np\n",
        "from scipy.stats import binom\n",
        "\n",
        "# Define parameters\n",
        "n = 1000  # total number of loans in the portfolio\n",
        "p = 0.02  # estimated probability of default for each loan\n",
        "\n",
        "# Calculate binomial probabilities\n",
        "# Probability of exactly k defaults out of n loans\n",
        "k = 10  # number of defaults to calculate the probability for\n",
        "prob_k_defaults = binom.pmf(k, n, p)\n",
        "\n",
        "# Calculate cumulative probability\n",
        "# Probability of at most k defaults\n",
        "cumulative_prob = binom.cdf(k, n, p)\n",
        "\n",
        "# Calculate expected number of defaults\n",
        "expected_defaults = n * p\n",
        "\n",
        "# Output results\n",
        "print(f\"Probability of exactly {k} defaults: {prob_k_defaults:.4f}\")\n",
        "print(f\"Cumulative probability of at most {k} defaults: {cumulative_prob:.4f}\")\n",
        "print(f\"Expected number of defaults: {expected_defaults}\")\n",
        "\n",
        "# More advanced analysis: Value at Risk (VaR) calculation for loan defaults\n",
        "# For instance, calculate the 95% VaR for the number of defaults\n",
        "var_95 = binom.ppf(0.95, n, p)\n",
        "print(f\"95% Value at Risk (number of defaults): {var_95}\")\n"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "Efs7tDVZhcF4",
        "outputId": "de362547-2043-46fa-b51c-22806b80d5fa"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Probability of exactly 10 defaults: 0.0056\n",
            "Cumulative probability of at most 10 defaults: 0.0102\n",
            "Expected number of defaults: 20.0\n",
            "95% Value at Risk (number of defaults): 28.0\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "import numpy as np\n",
        "from scipy.stats import binom\n",
        "\n",
        "# Parameters\n",
        "n = 1000  # Total number of transactions\n",
        "p = 0.01  # Estimated base probability of a transaction being fraudulent\n",
        "\n",
        "# Calculate the probability of observing exactly k fraudulent transactions\n",
        "k = 5  # Number of fraudulent transactions to calculate the probability for\n",
        "prob_k_frauds = binom.pmf(k, n, p)\n",
        "\n",
        "# Calculate the cumulative probability\n",
        "# Probability of observing at most k fraudulent transactions\n",
        "cumulative_prob = binom.cdf(k, n, p)\n",
        "\n",
        "# Output the results\n",
        "print(f\"Probability of exactly {k} fraudulent transactions: {prob_k_frauds:.4f}\")\n",
        "print(f\"Cumulative probability of at most {k} fraudulent transactions: {cumulative_prob:.4f}\")\n",
        "\n",
        "# Visualize the distribution\n",
        "import matplotlib.pyplot as plt\n",
        "\n",
        "fraud_probabilities = [binom.pmf(i, n, p) for i in range(k+1)]\n",
        "plt.bar(range(k+1), fraud_probabilities)\n",
        "plt.title('Probability Distribution of Fraudulent Transactions')\n",
        "plt.xlabel('Number of Fraudulent Transactions')\n",
        "plt.ylabel('Probability')\n",
        "plt.show()\n"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 507
        },
        "id": "87g-EO_Jq6dC",
        "outputId": "416e9824-df83-465e-cc6c-9bc97ff19bf6"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Probability of exactly 5 fraudulent transactions: 0.0375\n",
            "Cumulative probability of at most 5 fraudulent transactions: 0.0661\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "import numpy as np\n",
        "from scipy.stats import poisson\n",
        "import matplotlib.pyplot as plt\n",
        "\n",
        "# Parameters\n",
        "lambda_ = 10  # Average number of customers arriving per hour\n",
        "max_customers = 20  # Maximum number of customers to model\n",
        "\n",
        "# Calculate Poisson probabilities\n",
        "probabilities = [poisson.pmf(k, lambda_) for k in range(max_customers + 1)]\n",
        "\n",
        "# Print probabilities of specific events\n",
        "print(f\"Probability of exactly 10 customers arriving in an hour: {probabilities[10]:.4f}\")\n",
        "print(f\"Probability of more than 15 customers arriving in an hour: {1 - poisson.cdf(15, lambda_):.4f}\")\n",
        "\n",
        "# Visualization\n",
        "plt.bar(range(max_customers + 1), probabilities)\n",
        "plt.title('Poisson Distribution of Customer Arrivals')\n",
        "plt.xlabel('Number of Customers')\n",
        "plt.ylabel('Probability')\n",
        "plt.xticks(range(0, max_customers + 1, 2))\n",
        "plt.show()\n"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 507
        },
        "id": "4aac0OmsrdBu",
        "outputId": "35b35159-6010-43b7-a2ba-d62cc30a7c42"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Probability of exactly 10 customers arriving in an hour: 0.1251\n",
            "Probability of more than 15 customers arriving in an hour: 0.0487\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "import numpy as np\n",
        "from scipy.stats import norm\n",
        "import matplotlib.pyplot as plt\n",
        "\n",
        "# Credit score parameters\n",
        "mean_score = 700  # mean credit score\n",
        "std_dev = 50      # standard deviation of credit scores\n",
        "\n",
        "# Calculate probabilities for different credit score ranges\n",
        "low_score = 600\n",
        "high_score = 800\n",
        "\n",
        "# Probability of a credit score being lower than the low_score\n",
        "prob_low = norm.cdf(low_score, mean_score, std_dev)\n",
        "\n",
        "# Probability of a credit score being higher than the high_score\n",
        "prob_high = 1 - norm.cdf(high_score, mean_score, std_dev)\n",
        "\n",
        "# Probability of a credit score being between low_score and high_score\n",
        "prob_between = norm.cdf(high_score, mean_score, std_dev) - norm.cdf(low_score, mean_score, std_dev)\n",
        "\n",
        "# Output results\n",
        "print(f\"Probability of a credit score lower than {low_score}: {prob_low:.4f}\")\n",
        "print(f\"Probability of a credit score higher than {high_score}: {prob_high:.4f}\")\n",
        "print(f\"Probability of a credit score between {low_score} and {high_score}: {prob_between:.4f}\")\n",
        "\n",
        "# Visualization\n",
        "x = np.linspace(mean_score - 3*std_dev, mean_score + 3*std_dev, 1000)\n",
        "y = norm.pdf(x, mean_score, std_dev)\n",
        "\n",
        "plt.plot(x, y)\n",
        "plt.title('Normal Distribution of Credit Scores')\n",
        "plt.xlabel('Credit Score')\n",
        "plt.ylabel('Probability Density')\n",
        "plt.fill_between(x, y, where=(x > low_score) & (x < high_score), color='skyblue', alpha=0.5)\n",
        "plt.show()\n"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 524
        },
        "id": "iQDfNFsAr1L8",
        "outputId": "7dc0f802-be03-49c7-bf88-e748b4fb4222"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Probability of a credit score lower than 600: 0.0228\n",
            "Probability of a credit score higher than 800: 0.0228\n",
            "Probability of a credit score between 600 and 800: 0.9545\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "from scipy.stats import expon\n",
        "\n",
        "# Parameters\n",
        "lambda_inv = 20  # Mean time (in minutes) between customer service requests\n",
        "max_time = 60    # Maximum time to model (in minutes)\n",
        "\n",
        "# Calculate exponential probabilities\n",
        "time_intervals = np.linspace(0, max_time, 1000)\n",
        "probabilities = expon.pdf(time_intervals, scale=lambda_inv)\n",
        "\n",
        "# Probability of the next customer service request happening within 10 minutes\n",
        "prob_within_10_min = expon.cdf(10, scale=lambda_inv)\n",
        "\n",
        "# Output result\n",
        "print(f\"Probability of the next customer service request happening within 10 minutes: {prob_within_10_min:.4f}\")\n",
        "\n",
        "# Visualization\n",
        "plt.plot(time_intervals, probabilities)\n",
        "plt.title('Exponential Distribution of Time Between Customer Service Requests')\n",
        "plt.xlabel('Time (minutes)')\n",
        "plt.ylabel('Probability Density')\n",
        "plt.show()\n"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 489
        },
        "id": "w0ulkkrzsQ1B",
        "outputId": "b41db2bb-592b-4a07-abc2-2a6ad9e6df61"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Probability of the next customer service request happening within 10 minutes: 0.3935\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "from scipy.stats import weibull_min\n",
        "\n",
        "# Parameters for the Weibull distribution\n",
        "shape_parameter = 1.5  # shape parameter (k)\n",
        "scale_parameter = 36   # scale parameter (lambda), in months\n",
        "\n",
        "# Time range for the analysis (e.g., up to 60 months)\n",
        "time = np.linspace(0, 60, 1000)\n",
        "\n",
        "# Calculate the probability density function (PDF) and cumulative distribution function (CDF)\n",
        "pdf_values = weibull_min.pdf(time, shape_parameter, scale=scale_parameter)\n",
        "cdf_values = weibull_min.cdf(time, shape_parameter, scale=scale_parameter)\n",
        "\n",
        "# Probability of loan defaulting within 24 months\n",
        "prob_default_24_months = weibull_min.cdf(24, shape_parameter, scale=scale_parameter)\n",
        "\n",
        "# Print the probability\n",
        "print(f\"Probability of a loan defaulting within 24 months: {prob_default_24_months:.4f}\")\n",
        "\n",
        "# Visualization\n",
        "plt.figure(figsize=(12, 6))\n",
        "plt.subplot(1, 2, 1)\n",
        "plt.plot(time, pdf_values)\n",
        "plt.title('Weibull PDF: Time Until Loan Default')\n",
        "plt.xlabel('Time (months)')\n",
        "plt.ylabel('Probability Density')\n",
        "\n",
        "plt.subplot(1, 2, 2)\n",
        "plt.plot(time, cdf_values)\n",
        "plt.title('Weibull CDF: Time Until Loan Default')\n",
        "plt.xlabel('Time (months)')\n",
        "plt.ylabel('Cumulative Probability')\n",
        "plt.show()\n"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 581
        },
        "id": "tkLKx5YitjHU",
        "outputId": "b43ddbf5-0bad-425a-ce89-29d39e4dc51f"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Probability of a loan defaulting within 24 months: 0.4198\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1200x600 with 2 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "dQbfQpVYtz_d"
      },
      "execution_count": null,
      "outputs": []
    }
  ]
}