{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "d746e83c",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Import required libraries\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import pandas as pd\n",
    "from scipy import stats\n",
    "import seaborn as sns"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "a34cdca1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>device</th>\n",
       "      <th>visit_duration</th>\n",
       "      <th>made_purchase</th>\n",
       "      <th>purchase_total</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>mobile</td>\n",
       "      <td>0.72</td>\n",
       "      <td>1</td>\n",
       "      <td>20.27</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>tablet</td>\n",
       "      <td>8.13</td>\n",
       "      <td>1</td>\n",
       "      <td>66.57</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>desktop</td>\n",
       "      <td>8.60</td>\n",
       "      <td>1</td>\n",
       "      <td>67.14</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>desktop</td>\n",
       "      <td>13.06</td>\n",
       "      <td>1</td>\n",
       "      <td>62.16</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>mobile</td>\n",
       "      <td>3.76</td>\n",
       "      <td>0</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "    device  visit_duration  made_purchase  purchase_total\n",
       "0   mobile            0.72              1           20.27\n",
       "1   tablet            8.13              1           66.57\n",
       "2  desktop            8.60              1           67.14\n",
       "3  desktop           13.06              1           62.16\n",
       "4   mobile            3.76              0            0.00"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "url = 'https://gperdrizet.github.io/FSA_devops/assets/data/unit2/online_sales.csv'\n",
    "df = pd.read_csv(url)\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4b2d2db9",
   "metadata": {},
   "source": [
    "## 1. Discrete probability distribution"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "c3179fcb",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "made_purchase\n",
       "0    653\n",
       "1    347\n",
       "Name: count, dtype: int64"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df['made_purchase'].value_counts()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "221008e4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.title('Purchase distribution')\n",
    "\n",
    "plt.bar(\n",
    "    df['made_purchase'].value_counts().index,\n",
    "    df['made_purchase'].value_counts(),\n",
    "    color='black'\n",
    ")\n",
    "\n",
    "plt.xticks([0, 1], ['No', 'Yes'])\n",
    "plt.xlabel('Purchase')\n",
    "plt.ylabel('Visitors')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "56c85175",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "made_purchase\n",
       "0    0.653\n",
       "1    0.347\n",
       "Name: count, dtype: float64"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df['made_purchase'].value_counts() / len(df)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "ebda31ae",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.title('Purchase probability distribution')\n",
    "\n",
    "plt.bar(\n",
    "    df['made_purchase'].value_counts().index,\n",
    "    df['made_purchase'].value_counts() / len(df),\n",
    "    color='grey',\n",
    "    edgecolor='black'\n",
    ")\n",
    "\n",
    "plt.xticks([0, 1], ['No', 'Yes'])\n",
    "plt.xlabel('Purchase')\n",
    "plt.ylabel('Probability')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a3f19185",
   "metadata": {},
   "source": [
    "## 2. Continuous probability distribution"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "7fd86637",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "count    347.000000\n",
       "mean      71.399539\n",
       "std       54.224129\n",
       "min        4.800000\n",
       "25%       32.815000\n",
       "50%       57.800000\n",
       "75%       94.415000\n",
       "max      286.600000\n",
       "Name: purchase_total, dtype: float64"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "purchase_df = df[df['purchase_total'] > 0]\n",
    "purchase_df['purchase_total'].describe()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "ee40c372",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.title('Total purchase distribution')\n",
    "plt.hist(purchase_df['purchase_total'], color='black')\n",
    "plt.xlabel('Purchase total (USD)')\n",
    "plt.ylabel('Visitors')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "872bf805",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.title('Total purchase probability distribution')\n",
    "plt.hist(purchase_df['purchase_total'], density=True, color='grey', edgecolor='black')\n",
    "plt.xlabel('Purchase total (USD)')\n",
    "plt.ylabel('Probability density')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "88afe9ce",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.title('Total purchase probability distribution')\n",
    "sns.kdeplot(purchase_df['purchase_total'], fill=True, color='grey', edgecolor='black')\n",
    "plt.xlabel('Purchase total (USD)')\n",
    "plt.ylabel('probability density')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "dbb44412",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.title('Cumulative total purchase probability distribution')\n",
    "plt.hist(purchase_df['purchase_total'], density=True, cumulative=True, color='grey', edgecolor='black')\n",
    "plt.xlabel('Purchase total (USD)')\n",
    "plt.ylabel('Cumulative probability density')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "06cad184",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.title('Cumulative total purchase probability distribution')\n",
    "sns.ecdfplot(purchase_df['purchase_total'], color='grey')\n",
    "plt.xlabel('Purchase total (USD)')\n",
    "plt.ylabel('Cumulative probability density')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a1475fef",
   "metadata": {},
   "source": [
    "## 3. Central limit theorem"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "0f325d9a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 2000x400 with 5 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Central Limit Theorem Demonstration\n",
    "# Using purchase_total to show how sample means approach normal distribution\n",
    "\n",
    "# Population statistics\n",
    "population_mean = purchase_df['purchase_total'].mean()\n",
    "population_std = purchase_df['purchase_total'].std()\n",
    "\n",
    "# Create figure with 5 columns\n",
    "fig, axes = plt.subplots(1, 5, figsize=(20, 4))\n",
    "\n",
    "# Column 1: Original distribution\n",
    "axes[0].hist(purchase_df['purchase_total'], bins=30, color='lightcoral', \n",
    "             edgecolor='black', density=True, alpha=0.7)\n",
    "\n",
    "axes[0].axvline(population_mean, color='red', linestyle='--', linewidth=2, \n",
    "                label=f'Mean: ${population_mean:.2f}')\n",
    "\n",
    "axes[0].set_title('Original Distribution\\n(Population)', fontweight='bold')\n",
    "axes[0].set_xlabel('Purchase Total (USD)')\n",
    "axes[0].set_ylabel('Density')\n",
    "axes[0].legend()\n",
    "axes[0].grid(axis='y', alpha=0.3)\n",
    "\n",
    "# Columns 2-5: Sample mean distributions\n",
    "n_samples_list = [5, 50, 500, 5000]\n",
    "sample_size = 10\n",
    "\n",
    "for idx, n_samples in enumerate(n_samples_list, start=1):\n",
    "    # Draw many samples and calculate their means\n",
    "    sample_means = []\n",
    "    \n",
    "    for _ in range(n_samples):\n",
    "        sample = purchase_df['purchase_total'].sample(n=sample_size, replace=True)\n",
    "        sample_means.append(sample.mean())\n",
    "    \n",
    "    sample_means = np.array(sample_means)\n",
    "    \n",
    "    # Plot distribution of sample means\n",
    "    axes[idx].hist(sample_means, bins=30, color='steelblue', edgecolor='black', \n",
    "                   density=True, alpha=0.7)\n",
    "    \n",
    "    # Overlay theoretical normal distribution\n",
    "    mu = sample_means.mean()\n",
    "    sigma = sample_means.std()\n",
    "    x = np.linspace(sample_means.min(), sample_means.max(), 100)\n",
    "    axes[idx].plot(x, stats.norm(mu, sigma).pdf(x), 'r-', linewidth=2, \n",
    "                   label='Normal fit')\n",
    "    \n",
    "    axes[idx].set_title(f'n = {n_samples} samples\\n(Sample size = {sample_size})', \n",
    "                        fontweight='bold')\n",
    "    axes[idx].set_xlabel('Sample Mean (USD)')\n",
    "    axes[idx].set_ylabel('Density')\n",
    "    axes[idx].legend(fontsize=8)\n",
    "    axes[idx].grid(axis='y', alpha=0.3)\n",
    "\n",
    "plt.suptitle('Central Limit Theorem: Distribution of Sample Means Becomes Normal', \n",
    "             fontsize=14, fontweight='bold', y=1.02)\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": ".venv",
   "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": "3.12.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}