Hist_RandNumbers.ipynb

{
  "cells": [
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "aSldd3D1DY8q",
        "outputId": "1118a405-a439-4d60-c256-6572ee66a4fa"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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",
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "#ChatGPT - generate random numbers between -100 to 100 with mean of 5 and SD of 2, and make a histogram plot with 50 bins\n",
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "\n",
        "# Define the parameters for the normal distribution\n",
        "mean = 5\n",
        "std_dev = 2\n",
        "num_samples = 1000000\n",
        "\n",
        "# Generate random numbers from a normal distribution\n",
        "random_numbers = np.random.normal(mean, std_dev, num_samples)\n",
        "\n",
        "# Ensure that the generated numbers fall within the desired range [0, 10]\n",
        "random_numbers = np.clip(random_numbers, -100, 100)\n",
        "\n",
        "# Plot the histogram\n",
        "plt.hist(random_numbers, bins=50, color='skyblue', edgecolor='black', alpha=0.7)\n",
        "plt.title('Histogram of Random Numbers with Normal Distribution (mean=5, std=2)')\n",
        "plt.xlabel('Value')\n",
        "plt.ylabel('Frequency')\n",
        "plt.grid(True)\n",
        "plt.show()"
      ]
    }
  ],
  "metadata": {
    "kernelspec": {
      "display_name": "bmtk",
      "language": "python",
      "name": "python3"
    },
    "language_info": {
      "codemirror_mode": {
        "name": "ipython",
        "version": 3
      },
      "file_extension": ".py",
      "mimetype": "text/x-python",
      "name": "python",
      "nbconvert_exporter": "python",
      "pygments_lexer": "ipython3",
      "version": "3.8.16"
    },
    "colab": {
      "provenance": []
    }
  },
  "nbformat": 4,
  "nbformat_minor": 0
}