{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# IntroStat Week 3 \n", "\n", "Welcome to the third lecture in IntroStat\n", "\n", "During the lectures we will present both slides and notebooks. \n", "\n", "This is the notebook used in the lecture in week 3.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Example 1: Stochastic variable following a uniform distribution" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import scipy.stats as stats" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# lets plot pdf:\n", "x = np.arange(-5, 35, .1)\n", "plt.plot(x, stats.uniform.pdf(x, loc=0, scale=30))\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# lets also plot cdf:\n", "plt.plot(x, stats.uniform.cdf(x, loc=0, scale=30))\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.33333333333333337\n" ] } ], "source": [ "# Probability P(20 <= X <= 30):\n", "print(stats.uniform.cdf(30, loc=0, scale=30) - stats.uniform.cdf(20, loc=0, scale=30))" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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p06fryJEjfvvIyclRXFyc32v58uWhVB8hYEwNAISHlhrzgg41GzZsUFlZmZYuXaqGhgbl5+eruLhYx44d67J8bW2tpk6dqlmzZmnXrl0qKSlRSUmJ9uzZI0k6ffq0Ghoa9Mwzz6ihoUFvvvmm9u3bp/vuu++CfT333HM6evSo/Zo3b16w1UeYaKkBgNBw+TSvZ7BvWLlypWbPnq2ZM2dKkiorK/X73/9ev/jFL7Rw4cILyr/88suaOHGinnrqKUnS888/r+rqaq1evVqVlZVKSUlRdXW133tWr16tMWPGqLGxUQMHDrS39+7dW5mZmQHVs62tTW1tbfbfvV5vsIeKL+l89hNfSgAIDYvvmRdUS83Zs2dVX1+voqIi3w7i41VUVCS3293le9xut195SSouLr5oeUlqaWlRXFycUlNT/bYvX75caWlpuv322/Xiiy/q/PnzF91HRUWFUlJS7Fd2dnYAR4iL4dlPABAZdD+ZE1RLTXNzs9rb25WRkeG3PSMjQ3v37u3yPR6Pp8vyHo+ny/JnzpzR008/ralTpyo5Odne/vjjj2vEiBHq27evamtrVV5erqNHj2rlypVd7qe8vFxlZWX2371eL8EmDL4vIakGAELBAy3NC7r7yaRz587pwQcflGVZevXVV/1+9uWAMnz4cCUkJOiRRx5RRUWFEhMTL9hXYmJil9sRGotbCwAIS5wv1cCQoLqf0tPT1aNHDzU1Nfltb2pquuhYl8zMzIDKdwaaTz75RNXV1X6tNF1xuVw6f/68Dh06FMwhIER0PwFAeMg05gUVahISEjRy5EjV1NTY2zo6OlRTU6PCwsIu31NYWOhXXpKqq6v9yncGmo8//lhbt25VWlqaY112796t+Ph49evXL5hDQKg616mJbi0AoNvyTekm1pgSdPdTWVmZZsyYoVGjRmnMmDFatWqVWltb7dlQ06dP14ABA1RRUSFJmj9/vsaPH68VK1Zo0qRJWr9+vXbu3Km1a9dK+iLQfPvb31ZDQ4M2b96s9vZ2e7xN3759lZCQILfbrbq6Ot19993q3bu33G63FixYoIcfflh9+vSJ1L8FAhBHUw0AhIbLp3FBh5rS0lIdP35cS5YskcfjUUFBgaqqquzBwI2NjYqP9zUAjRs3TuvWrdPixYu1aNEiDRkyRJs2bdKwYcMkSZ999pneeustSVJBQYHfZ7399tu66667lJiYqPXr12vZsmVqa2vT4MGDtWDBAr9xNjDLt/geACAUdD+ZF2ddIe1gXq9XKSkpamlpcRyvgwvdtqRKrWfbtf2puzQorVe0qwNcec54pcPvRbsWCMNre9r1fF2H7svP0itTb492dbqNYH5/8+wnBITHJABAeGipMY9Qg4BcGe15AGCOvaIwF1RjCDUISOdiUYwTBoDQ0FJjHqEGAeHGAgDCw+J75hFqEBRaagAgNFw+zSPUICC+FYX5WgJAKHj2k3mEGgSGFYUBICLozjeHUIOAMFAYAMJkz36KbjViGaEGAeFLCADhofvJPEINAsLiewAQnjhaaowj1CAgnYtF0f0EAKHpvCkk05hDqEFAeKAlAITH7n4i1RhDqEFwSDUAEBJaus0j1CAglj2lm28lAISHphpTCDUICncaABAaup/MI9TA0ZefKEumAYDQ2LOfoluNmEaogSPuKgAgciwuqsYQauDoy18/nv0EAKHhId3mEWrgiO4nAAgfi++ZR6hBUGioAYDQcPk0j1ADR37dT3wtASAsNNSYQ6iBI8s/1QAAQuCb0k2sMYVQA0dffqIs3U8AEBqun+YRauCImwoACB+L75lHqEFQuNEAgND4Ft8j1ZhCqIGjL99VsE4NAISHlhpzCDUICpEGAELD9dM8Qg0cMVAYAMLH4nvmEWrgyK/7iXsNAAgLY2rMIdTAkf+zn6JWDQDo1pj9ZB6hBo5YKAoAwueb/QRTCDVwxBcQAMJnN3RzUTWGUANH/lO6o1cPAOjO7O4nUo0xhBoEhYHCABAabgrNI9TAGS01ABAxDFM0h1ADR37r1ESxHgAQC8g05hBq4IjHJABA+HxTuok1phBq4IivHwCEjynd5hFq4OjLdxW00wBAaFh8z7yQQs2aNWuUk5OjpKQkuVwu7dix45LlN27cqNzcXCUlJSkvL09btmyxf3bu3Dk9/fTTysvLU69evZSVlaXp06fryJEjfvs4ceKEpk2bpuTkZKWmpmrWrFn6/PPPQ6k+gsSKwgAQPlpqzAs61GzYsEFlZWVaunSpGhoalJ+fr+LiYh07dqzL8rW1tZo6dapmzZqlXbt2qaSkRCUlJdqzZ48k6fTp02poaNAzzzyjhoYGvfnmm9q3b5/uu+8+v/1MmzZNH374oaqrq7V582a9++67mjNnTgiHjHAwpgYAQsPV07w4K8gRSy6XS6NHj9bq1aslSR0dHcrOzta8efO0cOHCC8qXlpaqtbVVmzdvtreNHTtWBQUFqqys7PIz3n//fY0ZM0affPKJBg4cqI8++ki33nqr3n//fY0aNUqSVFVVpXvvvVeffvqpsrKyHOvt9XqVkpKilpYWJScnB3PIV7zjp9o0+idbJUmHlk+Kcm2AK9QZr3T4vWjXAmHY1tih71e3K//6FP127h3Rrk63Eczv76Baas6ePav6+noVFRX5dhAfr6KiIrnd7i7f43a7/cpLUnFx8UXLS1JLS4vi4uKUmppq7yM1NdUONJJUVFSk+Ph41dXVdbmPtrY2eb1evxdC0zmlm0YaAAgf3U/mBBVqmpub1d7eroyMDL/tGRkZ8ng8Xb7H4/EEVf7MmTN6+umnNXXqVDuReTwe9evXz69cz5491bdv34vup6KiQikpKfYrOzs7oGNEF/72DSTTAEDo7DE1pBpjvlazn86dO6cHH3xQlmXp1VdfDWtf5eXlamlpsV+HDx+OUC2vPJ3fP8bTAED4ePaTOT2DKZyenq4ePXqoqanJb3tTU5MyMzO7fE9mZmZA5TsDzSeffKJt27b59ZtlZmZeMBD5/PnzOnHixEU/NzExUYmJiQEfGy6OuwoACB8tNeYF1VKTkJCgkSNHqqamxt7W0dGhmpoaFRYWdvmewsJCv/KSVF1d7Ve+M9B8/PHH2rp1q9LS0i7Yx8mTJ1VfX29v27Ztmzo6OuRyuYI5BITAHlMT5XoAQHfGOjXmBdVSI0llZWWaMWOGRo0apTFjxmjVqlVqbW3VzJkzJUnTp0/XgAEDVFFRIUmaP3++xo8frxUrVmjSpElav369du7cqbVr10r6ItB8+9vfVkNDgzZv3qz29nZ7nEzfvn2VkJCgoUOHauLEiZo9e7YqKyt17tw5zZ07V1OmTAlo5hMig94nAAgdl1Dzgg41paWlOn78uJYsWSKPx6OCggJVVVXZg4EbGxsVH+9rABo3bpzWrVunxYsXa9GiRRoyZIg2bdqkYcOGSZI+++wzvfXWW5KkgoICv896++23ddddd0mS3njjDc2dO1cTJkxQfHy8Jk+erFdeeSWUY0aQLHugMF9JAAgVi++ZF/Q6Nd0V69SE7rOTf9U3lm9TQs94/Z8ffzPa1QGuTKxT0+394bMOfbeqXbmZvVX1xJ3Rrk63YWydGlyZOnMv7TQAEDquoeYRauDI7n7iGwkAIWP2k3mEGgAALgN79hOjaowh1MARA4UBIHJoqTGHUIOA0f0EAKHjGmoeoQaOWHwPAMLn636CKYQaOPINFCbWAEC4rpCVVKKCUANH9gMto1oLAOjeaKkxj1ADR5ZvpDAAIERxpBrjCDVwxPcPAMJHpjGPUANHNNQAQPh8i+8Ra0wh1CAAf5v9xEBhAAgZLTXmEWoQMDINAODrjFADR3Q/AUDk0PtkDqEGjuwp3TTVAEDI7DE1dEAZQ6iBI1pqACB89pgaMo0xhBo4sh+TQKoBgJD5Zj9Ftx6xjFADR3wBASB83BeaR6iBI1+o4SsJAKHydT9xp2gKoQYBo/sJAELHZAvzCDVwZI+piXI9ACAW0E5jDqEGjuzZT6QaAAgZs5/MI9QgYHG01QBA2FinxhxCDRzRUgMA4WNKt3mEGjjirgIAwscDLc0j1MARKwoDQPhoqTGPUIOAMR0RAELHFdQ8Qg0ccVMBAOHzhRquqqYQauCoc/VLGmoAIHx0P5lDqIGjzu8foQYAQmePqYluNWIaoQaOfAOFSTUAECqe/WQeoQYB4AsIAOGipcY8Qg0csfgeAEQODTXmEGoQMDINAISOa6h5hBo48g0U5isJAKHyLb5HU40phBo4YkVhAIgcIo05hBo4skg1ABA2+xJKqjGGUANHdvdTVGsBAN0bs5/MI9TAEd2/ABA+1qkxj1ADR5Y6H5NAWw0AhMoONVGtRWwLKdSsWbNGOTk5SkpKksvl0o4dOy5ZfuPGjcrNzVVSUpLy8vK0ZcsWv5+/+eabuueee5SWlqa4uDjt3r37gn3cddddiouL83s9+uijoVQfISLSAEDouC80L+hQs2HDBpWVlWnp0qVqaGhQfn6+iouLdezYsS7L19bWaurUqZo1a5Z27dqlkpISlZSUaM+ePXaZ1tZW3XHHHfrpT396yc+ePXu2jh49ar9eeOGFYKuPULD4HgBEDL1P5vQM9g0rV67U7NmzNXPmTElSZWWlfv/73+sXv/iFFi5ceEH5l19+WRMnTtRTTz0lSXr++edVXV2t1atXq7KyUpL03e9+V5J06NChS372Nddco8zMzIDq2dbWpra2NvvvXq83oPfhQr6BwqQaAAiXRQeUMUG11Jw9e1b19fUqKiry7SA+XkVFRXK73V2+x+12+5WXpOLi4ouWv5Q33nhD6enpGjZsmMrLy3X69OmLlq2oqFBKSor9ys7ODvrz8AUekwAA4fMNFI5qNWJaUC01zc3Nam9vV0ZGht/2jIwM7d27t8v3eDyeLst7PJ6gKvrQQw9p0KBBysrK0gcffKCnn35a+/bt05tvvtll+fLycpWVldl/93q9BJsQcVcBAOFjSrd5QXc/RcucOXPsP+fl5al///6aMGGCDhw4oBtvvPGC8omJiUpMTLycVYxZvpYammoAIFQsvmdeUN1P6enp6tGjh5qamvy2NzU1XXSsS2ZmZlDlA+VyuSRJ+/fvD2s/cMb3DwDC52up4apqSlChJiEhQSNHjlRNTY29raOjQzU1NSosLOzyPYWFhX7lJam6uvqi5QPVOe27f//+Ye0HgaOdBgBCxzXUvKC7n8rKyjRjxgyNGjVKY8aM0apVq9Ta2mrPhpo+fboGDBigiooKSdL8+fM1fvx4rVixQpMmTdL69eu1c+dOrV271t7niRMn1NjYqCNHjkiS9u3bJ+mLVp7MzEwdOHBA69at07333qu0tDR98MEHWrBgge68804NHz487H8EXFrn6pf0PgFA6BgobF7Qoaa0tFTHjx/XkiVL5PF4VFBQoKqqKnswcGNjo+LjfQ1A48aN07p167R48WItWrRIQ4YM0aZNmzRs2DC7zFtvvWWHIkmaMmWKJGnp0qVatmyZEhIStHXrVjtAZWdna/LkyVq8eHHIB47A2VO6CTUAEDYyjTlx1hXyEAqv16uUlBS1tLQoOTk52tXpVt7ee0wzX39feQNS9Lt5d0S7OsCV6YxXOvxetGuBMBw7bWnMr88rPk76/yomRbs63UYwv7959hMc+Z79FOWKAEAMuCJaEqKEUANH9pTu6FYDALo1e/YTqcYYQg0c8QUEgPBxY2geoQaBo/8JAELGFdQ8Qg0c+R5oCQAI1ZfvC6+QOTqXHaEGjlinBgAii0xjBqEGjmipAYDwffkaSqYxg1ADRzzQEgDCR/eTeYQaBOBv3U9RrgUAdGe01JhHqIEjbigAILK4rppBqEHA6H0CgNBxDTWPUANHvoHCfCMBIFT+3U801ZhAqIEji+lPABBRdD+ZQaiBI4uBwgAQNq6h5hFq4Mg3pTu69QCA7sx/Snf06hHLCDVwxJgaAAgfY2rMI9TAEY9JAIDw0VJjHqEGAIDLgMX3zCPUIGC01AAAvs4INXBkDxRmTA0ARATPfjKDUANH9pRuMg0AhMxvTE30qhHTCDVwxA0FAITPb0wN11UjCDVw5FunhqYaAAhVHCOFjSPUwBFPSQCA8LFOjXmEGjhiQBsAhI/uJ/MINQgYvU8AEDquoeYRauCI7icAiCwaaswg1MAZA4UBIGz+3U/EGhMINXBkr1MT5XoAQHf25RtDIo0ZhBo48k3pjm49ACBW0FBjBqEGjnzfPVINAISj8yrKlG4zCDVwxB0FAERGnC/VwABCDQJG9xMAhIfLqFmEGjhioDAAREbnYGEaaswg1MARA4UBILLo1jeDUANHvsX3SDUAEA4GCptFqIGzv91S0FIDAOHpvI7SUmMGoQaO7JYaQg0ARASZxgxCDRxxRwEAkWEPFObCakRIoWbNmjXKyclRUlKSXC6XduzYccnyGzduVG5urpKSkpSXl6ctW7b4/fzNN9/UPffco7S0NMXFxWn37t0X7OPMmTN67LHHlJaWpmuvvVaTJ09WU1NTKNVHiBhTAwDh4SpqVtChZsOGDSorK9PSpUvV0NCg/Px8FRcX69ixY12Wr62t1dSpUzVr1izt2rVLJSUlKikp0Z49e+wyra2tuuOOO/TTn/70op+7YMEC/e53v9PGjRu1fft2HTlyRA888ECw1UcI7DsKvo0AEBbG1JgVZwXZBuZyuTR69GitXr1aktTR0aHs7GzNmzdPCxcuvKB8aWmpWltbtXnzZnvb2LFjVVBQoMrKSr+yhw4d0uDBg7Vr1y4VFBTY21taWnTddddp3bp1+va3vy1J2rt3r4YOHSq3262xY8c61tvr9SolJUUtLS1KTk4O5pCveL/800E9+7v/0f8a3l+rHxoR7eoAV6YzXunwe9GuBcI09N/a9ddzHfrDj+5Wdt9rol2dbiGY399BtdScPXtW9fX1Kioq8u0gPl5FRUVyu91dvsftdvuVl6Ti4uKLlu9KfX29zp0757ef3NxcDRw48KL7aWtrk9fr9XshNL51amiqAYBw2FO6aakxIqhQ09zcrPb2dmVkZPhtz8jIkMfj6fI9Ho8nqPIX20dCQoJSU1MD3k9FRYVSUlLsV3Z2dsCfB3++dWoAAOHwrShMqjEhZmc/lZeXq6WlxX4dPnw42lXqtizWqQGAiKClxqyewRROT09Xjx49Lph11NTUpMzMzC7fk5mZGVT5i+3j7NmzOnnypF9rzaX2k5iYqMTExIA/A87INAAQHnugcHSrEbOCaqlJSEjQyJEjVVNTY2/r6OhQTU2NCgsLu3xPYWGhX3lJqq6uvmj5rowcOVJXXXWV33727dunxsbGoPYDAABiV1AtNZJUVlamGTNmaNSoURozZoxWrVql1tZWzZw5U5I0ffp0DRgwQBUVFZKk+fPna/z48VqxYoUmTZqk9evXa+fOnVq7dq29zxMnTqixsVFHjhyR9EVgkb5oocnMzFRKSopmzZqlsrIy9e3bV8nJyZo3b54KCwsDmvmE8DBQGAAig8X3zAo61JSWlur48eNasmSJPB6PCgoKVFVVZQ8GbmxsVHy8rwFo3LhxWrdunRYvXqxFixZpyJAh2rRpk4YNG2aXeeutt+xQJElTpkyRJC1dulTLli2TJL300kuKj4/X5MmT1dbWpuLiYv3sZz8L6aARnM4BbUQaAIgMIo0ZQa9T012xTk3ofr79gCr+a68eGDFAKx8siHZ1gCsT69TEhPw3LLWcOa+tZeN1U79ro12dbsHYOjW4MvmmdNNWAwDh8PXiXxHtCZcdoQaOfGNqolsPAOjumNJtFqEGjhhTAwCRwZRuswg1AABcJnTjm0WogSO6nwAgMnhKt1mEGgSMOwwAiAye/WQGoQaOePYTAEQWLTVmEGrgiO4nAIgMup/MItTAke+7R6oBgHB0duPT/WQGoQaOaKkBgMigpcYsQg0AAJcJ94ZmEWrgiMX3ACAyaPE2i1ADR3Q/AUBk0f1kBqEGjnigJQBEBgOFzSLUwBnr1ABARDBQ2CxCDRz5WmoAAJFApjGDUANHvjE1xBoACIevpYZYYwKhBgCAy4SxiWYRauCIAW0AEBl2S010qxGzCDVwxJRuAIgsep/MINTAEVO6ASAyfFdRUo0JhBo4oqUGACKDKd1mEWrgiMckAEBk+BbfgwmEGjijpQYAIoKWGrMINXBkj6kh1QBARLBOjRmEGgAALhPuDc0i1MBR5x0F30UAiAzaacwg1MCRxcOfACAiOi+j9D6ZQaiBI9apAYDI6BybyErtZhBq4Ih1agAgMuzLKJnGCEINHLFODQBEBs9+MotQA0e01ABAZDCmxixCDQAAlwt3h0YRahAwBgoDQGQwUNgMQg0c2evUkGkAICx0P5lFqIEjlqkBgMhgoLBZhBo48i2+R6wBgHD4WmqINSYQauCIKd0AEBm+xfdgAqEGjpjSDQCRweJ7ZoUUatasWaOcnBwlJSXJ5XJpx44dlyy/ceNG5ebmKikpSXl5edqyZYvfzy3L0pIlS9S/f39dffXVKioq0scff+xXJicnR3FxcX6v5cuXh1J9AACigptDs4IONRs2bFBZWZmWLl2qhoYG5efnq7i4WMeOHeuyfG1traZOnapZs2Zp165dKikpUUlJifbs2WOXeeGFF/TKK6+osrJSdXV16tWrl4qLi3XmzBm/fT333HM6evSo/Zo3b16w1UcIePYTAESGPaaGphojgg41K1eu1OzZszVz5kzdeuutqqys1DXXXKNf/OIXXZZ/+eWXNXHiRD311FMaOnSonn/+eY0YMUKrV6+W9EUrzapVq7R48WLdf//9Gj58uP7t3/5NR44c0aZNm/z21bt3b2VmZtqvXr16BX/ECBrdTwAQWYwTNiOoUHP27FnV19erqKjIt4P4eBUVFcntdnf5Hrfb7VdekoqLi+3yBw8elMfj8SuTkpIil8t1wT6XL1+utLQ03X777XrxxRd1/vz5i9a1ra1NXq/X74VQMVAYACKic6AwocaInsEUbm5uVnt7uzIyMvy2Z2RkaO/evV2+x+PxdFne4/HYP+/cdrEykvT4449rxIgR6tu3r2pra1VeXq6jR49q5cqVXX5uRUWFnn322WAODxdBSw0ARIav+wkmBBVqoqmsrMz+8/Dhw5WQkKBHHnlEFRUVSkxMvKB8eXm533u8Xq+ys7MvS11jjS/UkGoAIBz24ns01RgRVPdTenq6evTooaamJr/tTU1NyszM7PI9mZmZlyzf+d9g9ilJLpdL58+f16FDh7r8eWJiopKTk/1eCA0D2gAgMmipMSuoUJOQkKCRI0eqpqbG3tbR0aGamhoVFhZ2+Z7CwkK/8pJUXV1tlx88eLAyMzP9yni9XtXV1V10n5K0e/duxcfHq1+/fsEcAsJAQw0AhIcWb7OC7n4qKyvTjBkzNGrUKI0ZM0arVq1Sa2urZs6cKUmaPn26BgwYoIqKCknS/PnzNX78eK1YsUKTJk3S+vXrtXPnTq1du1bSFyf4iSee0I9//GMNGTJEgwcP1jPPPKOsrCyVlJRI+mKwcV1dne6++2717t1bbrdbCxYs0MMPP6w+ffpE6J8CF0MrKQBEBg+0NCvoUFNaWqrjx49ryZIl8ng8KigoUFVVlT3Qt7GxUfHxvgagcePGad26dVq8eLEWLVqkIUOGaNOmTRo2bJhd5kc/+pFaW1s1Z84cnTx5UnfccYeqqqqUlJQk6YuupPXr12vZsmVqa2vT4MGDtWDBAr8xMzCHdWoAINJINSbEWVfIaCWv16uUlBS1tLQwviZIT/7H/6v/3fCpFn4zV4+OvzHa1QGuTGe80uH3ol0LhOk71Vfr/UavXp02Qt/M6x/t6nQLwfz+5tlPcMQDLQEgMhgobBahBs5YpwYAIsOe0h3dasQqQg0cMaYGACKj8zrKUhlmEGoQMFpqACA8XEfNItTA0RUylhwAjGNKt1mEGjjiuwcAkcV11QxCDRzx7CcAiAye/WQWoQaOfAOFAQDhYMKFWYQaOOq8o6ChBgDCE8eUbqMINXBESw0ARIZv8T1SjQmEGgSMMTUAECYuo0YRauCMGwoAiAh78T2uq0YQauDIfvYTdxgAEBGEGjMINXBkT+mObjUAoNuzBwpHtxoxi1ADR/YdBU01ABAW34rCxBoTCDVwZHc/RbkeANDd0VJjFqEGjnwrCke3HgDQ3dmL75FqjCDUIGCshAkA4eHm0CxCDRwxpAYAIoPF98wi1MAR49kAILK4rppBqEEAGCgMABHBkBqjCDVwxEBhAIgMVhQ2i1ADR74HWpJqACAcvindpBoTCDVwZLGkMABEhG/xvahWI2YRauDI11IDAAgHi++ZRahBwOIYVAMAYeEqahahBo5oJgWACOPCagShBo7ofgKAyOhs8SbSmEGogaPOgcL0PgFAeBgobBahBgEj1ABAmDoHCpNqjCDUwJFvRjepBgDC4Xv2E0wg1MBR5yJRtNQAQHjsMTWkGiMINQAAXCbcG5pFqIEj7igAILK4rJpBqIEj3wMtuccAgHDEMVDYKEINHNljaqJcDwDo7riOmkWogSNfS0106wEA3R0Dhc0i1MCRb0VhUg0AhMM3pZtUYwKhBs5oqQGAyLDH1ES3GrGKUIOAkWkAIDxcR80KKdSsWbNGOTk5SkpKksvl0o4dOy5ZfuPGjcrNzVVSUpLy8vK0ZcsWv59blqUlS5aof//+uvrqq1VUVKSPP/7Yr8yJEyc0bdo0JScnKzU1VbNmzdLnn38eSvURJJpJASAyeKClWUGHmg0bNqisrExLly5VQ0OD8vPzVVxcrGPHjnVZvra2VlOnTtWsWbO0a9culZSUqKSkRHv27LHLvPDCC3rllVdUWVmpuro69erVS8XFxTpz5oxdZtq0afrwww9VXV2tzZs3691339WcOXNCOGQEi4HCABBZdD+ZEWcFOVne5XJp9OjRWr16tSSpo6ND2dnZmjdvnhYuXHhB+dLSUrW2tmrz5s32trFjx6qgoECVlZWyLEtZWVl68skn9cMf/lCS1NLSooyMDL3++uuaMmWKPvroI9166616//33NWrUKElSVVWV7r33Xn366afKysq64HPb2trU1tZm/93r9So7O1stLS1KTk4O5pAvaf+xz/VG3ScR29/X0e8/OKpjp9pU+fBITRyWGe3qAFemM17p8HvRrgXC9FR9X23c3aSRg/po+PUp0a5OxN143bV6eOygiO7T6/UqJSUloN/fPYPZ8dmzZ1VfX6/y8nJ7W3x8vIqKiuR2u7t8j9vtVllZmd+24uJibdq0SZJ08OBBeTweFRUV2T9PSUmRy+WS2+3WlClT5Ha7lZqaagcaSSoqKlJ8fLzq6ur0rW9964LPraio0LPPPhvM4YXkyMm/6pd/OmT8c74OkpOC+t8FQCTF94h2DRAByVdfJUmq/+T/qv6T/xvl2kTenTdfF/FQE4ygfks1Nzervb1dGRkZftszMjK0d+/eLt/j8Xi6LO/xeOyfd267VJl+/fr5V7xnT/Xt29cu81Xl5eV+YaqzpSbSsvteo8fuvjHi+/26yUy5Wq4b0qJdDeDKldBLGvQNqaM92jVBqOJ76JGMHkq99hqdOR+b5zEnrVdUPz9mb70TExOVmJho/HMGp/fSU8W5xj8HAJQQ3V8YCF+/BGnehCHRrkbMCmqgcHp6unr06KGmpia/7U1NTcrM7HqsRWZm5iXLd/7XqcxXByKfP39eJ06cuOjnAgCAK0tQoSYhIUEjR45UTU2Nva2jo0M1NTUqLCzs8j2FhYV+5SWpurraLj948GBlZmb6lfF6vaqrq7PLFBYW6uTJk6qvr7fLbNu2TR0dHXK5XMEcAgAAiFFBdz+VlZVpxowZGjVqlMaMGaNVq1aptbVVM2fOlCRNnz5dAwYMUEVFhSRp/vz5Gj9+vFasWKFJkyZp/fr12rlzp9auXSvpizn7TzzxhH784x9ryJAhGjx4sJ555hllZWWppKREkjR06FBNnDhRs2fPVmVlpc6dO6e5c+dqypQpXc58AgAAV56gQ01paamOHz+uJUuWyOPxqKCgQFVVVfZA38bGRsXH+xqAxo0bp3Xr1mnx4sVatGiRhgwZok2bNmnYsGF2mR/96EdqbW3VnDlzdPLkSd1xxx2qqqpSUlKSXeaNN97Q3LlzNWHCBMXHx2vy5Ml65ZVXwjl2AAAQQ4Jep6a7CmaeOwAA+HoI5vc3z34CAAAxgVADAABiAqEGAADEBEINAACICYQaAAAQEwg1AAAgJhBqAABATCDUAACAmBCzT+n+qs41Br1eb5RrAgAAAtX5ezuQtYKvmFBz6tQpSVJ2dnaUawIAAIJ16tQppaSkXLLMFfOYhI6ODh05ckS9e/dWXFxcRPft9XqVnZ2tw4cPx+QjGGL9+KTYP8ZYPz4p9o8x1o9Piv1jjPXjk8wco2VZOnXqlLKysvyeLdmVK6alJj4+Xtdff73Rz0hOTo7Z/1Gl2D8+KfaPMdaPT4r9Y4z145Ni/xhj/fikyB+jUwtNJwYKAwCAmECoAQAAMYFQEwGJiYlaunSpEhMTo10VI2L9+KTYP8ZYPz4p9o8x1o9Piv1jjPXjk6J/jFfMQGEAABDbaKkBAAAxgVADAABiAqEGAADEBEINAACICYQaAAAQEwg1EZaTk6O4uDi/1/Lly6NdrbCsWbNGOTk5SkpKksvl0o4dO6JdpYhYtmzZBecqNzc32tUKy7vvvqt/+Id/UFZWluLi4rRp0ya/n1uWpSVLlqh///66+uqrVVRUpI8//jg6lQ2R0zF+73vfu+C8Tpw4MTqVDUFFRYVGjx6t3r17q1+/fiopKdG+ffv8ypw5c0aPPfaY0tLSdO2112ry5MlqamqKUo2DE8jx3XXXXRecw0cffTRKNQ7eq6++quHDh9ur6hYWFuq//uu/7J935/MnOR9fNM8focaA5557TkePHrVf8+bNi3aVQrZhwwaVlZVp6dKlamhoUH5+voqLi3Xs2LFoVy0ibrvtNr9z9cc//jHaVQpLa2ur8vPztWbNmi5//sILL+iVV15RZWWl6urq1KtXLxUXF+vMmTOXuaahczpGSZo4caLfef31r399GWsYnu3bt+uxxx7Te++9p+rqap07d0733HOPWltb7TILFizQ7373O23cuFHbt2/XkSNH9MADD0Sx1oEL5Pgkafbs2X7n8IUXXohSjYN3/fXXa/ny5aqvr9fOnTv193//97r//vv14YcfSure509yPj4piufPQkQNGjTIeumll6JdjYgZM2aM9dhjj9l/b29vt7KysqyKiooo1ioyli5dauXn50e7GsZIsn7zm9/Yf+/o6LAyMzOtF1980d528uRJKzEx0fr1r38dhRqG76vHaFmWNWPGDOv++++PSn1MOHbsmCXJ2r59u2VZX5yzq666ytq4caNd5qOPPrIkWW63O1rVDNlXj8+yLGv8+PHW/Pnzo1cpA/r06WP967/+a8ydv06dx2dZ0T1/tNQYsHz5cqWlpen222/Xiy++qPPnz0e7SiE5e/as6uvrVVRUZG+Lj49XUVGR3G53FGsWOR9//LGysrJ0ww03aNq0aWpsbIx2lYw5ePCgPB6P3/lMSUmRy+WKmfPZ6Z133lG/fv10yy236Ac/+IH+8pe/RLtKIWtpaZEk9e3bV5JUX1+vc+fO+Z3H3NxcDRw4sFuex68eX6c33nhD6enpGjZsmMrLy3X69OloVC9s7e3tWr9+vVpbW1VYWBhz5++rx9cpWufvinlK9+Xy+OOPa8SIEerbt69qa2tVXl6uo0ePauXKldGuWtCam5vV3t6ujIwMv+0ZGRnau3dvlGoVOS6XS6+//rpuueUWHT16VM8++6z+7u/+Tnv27FHv3r2jXb2I83g8ktTl+ez8WSyYOHGiHnjgAQ0ePFgHDhzQokWL9M1vflNut1s9evSIdvWC0tHRoSeeeELf+MY3NGzYMElfnMeEhASlpqb6le2O57Gr45Okhx56SIMGDVJWVpY++OADPf3009q3b5/efPPNKNY2OH/+859VWFioM2fO6Nprr9VvfvMb3Xrrrdq9e3dMnL+LHZ8U3fNHqAnAwoUL9dOf/vSSZT766CPl5uaqrKzM3jZ8+HAlJCTokUceUUVFRUw/76M7+uY3v2n/efjw4XK5XBo0aJD+4z/+Q7NmzYpizRCOKVOm2H/Oy8vT8OHDdeONN+qdd97RhAkToliz4D322GPas2dPtx/rdTEXO745c+bYf87Ly1P//v01YcIEHThwQDfeeOPlrmZIbrnlFu3evVstLS36z//8T82YMUPbt2+PdrUi5mLHd+utt0b1/BFqAvDkk0/qe9/73iXL3HDDDV1ud7lcOn/+vA4dOqRbbrnFQO3MSU9PV48ePS4Yld/U1KTMzMwo1cqc1NRU3Xzzzdq/f3+0q2JE5zlrampS//797e1NTU0qKCiIUq3Mu+GGG5Senq79+/d3q1Azd+5cbd68We+++66uv/56e3tmZqbOnj2rkydP+t3td7fv5cWOrysul0uStH///m4TahISEnTTTTdJkkaOHKn3339fL7/8skpLS2Pi/F3s+H7+859fUPZynj/G1ATguuuuU25u7iVfCQkJXb539+7dio+PV79+/S5zrcOXkJCgkSNHqqamxt7W0dGhmpoav77TWPH555/rwIEDfr/wY8ngwYOVmZnpdz69Xq/q6upi8nx2+vTTT/WXv/yl25xXy7I0d+5c/eY3v9G2bds0ePBgv5+PHDlSV111ld953LdvnxobG7vFeXQ6vq7s3r1bkrrNOexKR0eH2trauv35u5jO4+vKZT1/URmeHKNqa2utl156ydq9e7d14MAB69///d+t6667zpo+fXq0qxay9evXW4mJidbrr79u/c///I81Z84cKzU11fJ4PNGuWtiefPJJ65133rEOHjxo/elPf7KKioqs9PR069ixY9GuWshOnTpl7dq1y9q1a5clyVq5cqW1a9cu65NPPrEsy7KWL19upaamWr/97W+tDz74wLr//vutwYMHW3/961+jXPPAXeoYT506Zf3whz+03G63dfDgQWvr1q3WiBEjrCFDhlhnzpyJdtUD8oMf/MBKSUmx3nnnHevo0aP26/Tp03aZRx991Bo4cKC1bds2a+fOnVZhYaFVWFgYxVoHzun49u/fbz333HPWzp07rYMHD1q//e1vrRtuuMG68847o1zzwC1cuNDavn27dfDgQeuDDz6wFi5caMXFxVn//d//bVlW9z5/lnXp44v2+SPURFB9fb3lcrmslJQUKykpyRo6dKj1T//0T93mYnox//zP/2wNHDjQSkhIsMaMGWO999570a5SRJSWllr9+/e3EhISrAEDBlilpaXW/v37o12tsLz99tuWpAteM2bMsCzri2ndzzzzjJWRkWElJiZaEyZMsPbt2xfdSgfpUsd4+vRp65577rGuu+4666qrrrIGDRpkzZ49u1uF8K6OTZL1y1/+0i7z17/+1frHf/xHq0+fPtY111xjfetb37KOHj0avUoHwen4GhsbrTvvvNPq27evlZiYaN10003WU089ZbW0tES34kH4/ve/bw0aNMhKSEiwrrvuOmvChAl2oLGs7n3+LOvSxxft8xdnWZZlvj0IAADALMbUAACAmECoAQAAMYFQAwAAYgKhBgAAxARCDQAAiAmEGgAAEBMINQAAICYQagAAQEwg1AAAgJhAqAEAADGBUAMAAGLC/w+d41vi6JuAagAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# visualise the probability:\n", "xint = np.arange(20, 30, .1)\n", "plt.plot(x, stats.uniform.pdf(x, loc=0, scale=30))\n", "plt.fill_between(xint, stats.uniform.pdf(xint, loc=0, scale=30), color='peachpuff')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.0\n" ] } ], "source": [ "# Probability P(x >=30)\n", "print(1 - stats.uniform.cdf(30, loc=0, scale=30))" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# visualise the probability\n", "xint = np.arange(30, 35, .1)\n", "plt.plot(x, stats.uniform.pdf(x, loc=0, scale=30))\n", "plt.fill_between(xint, stats.uniform.pdf(xint, loc=0, scale=30), color='peachpuff')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Example 2: Stochastic variable following a standard normal distribution" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.arange(-5, 5, .01)\n", "plt.plot(x, stats.norm.pdf(x, loc=0, scale=1))\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "2.2750131948179195\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Probability P(x <= -2)\n", "print(stats.norm.cdf(-2, loc=0, scale=1)*100)\n", "\n", "xint = np.arange(-5, -2, .01)\n", "plt.plot(x, stats.norm.pdf(x, loc=0, scale=1))\n", "plt.fill_between(xint, stats.norm.pdf(xint, loc=0, scale=1), color='peachpuff')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "2.275013194817921\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Probability P(x >= 2)\n", "print((1-stats.norm.cdf(2, loc=0, scale=1))*100)\n", "\n", "xint = np.arange(2, 5, .01)\n", "plt.plot(x, stats.norm.pdf(x, loc=0, scale=1))\n", "plt.fill_between(xint, stats.norm.pdf(xint, loc=0, scale=1), color='peachpuff')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "68.26894921370858\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Probability P(-1 <= x <= 1)\n", "print((stats.norm.cdf(1, loc=0, scale=1) - stats.norm.cdf(-1, loc=0, scale=1))*100)\n", "\n", "xint = np.arange(-1, 1, .001)\n", "plt.plot(x, stats.norm.pdf(x, loc=0, scale=1))\n", "plt.fill_between(xint, stats.norm.pdf(xint, loc=0, scale=1), color='peachpuff')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Example 3: Stochastic variable following a normal distribution" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.arange(270, 310, .1)\n", "plt.plot(x, stats.norm.pdf(x, loc=290, scale=4))\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.006209665325776159\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Probability P(x > 300)\n", "print(1 - stats.norm.cdf(300, loc=290, scale=4))\n", "\n", "xint = np.arange(300, 310, .1)\n", "plt.plot(x, stats.norm.pdf(x, loc=290, scale=4))\n", "plt.fill_between(xint, stats.norm.pdf(xint, loc=290, scale=4), color='peachpuff')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# 95% interval around mean = 290\n", "\n", "# we need 2.5% on either side of the interval\n", "\n", "# lower bound should be where cdf = 0.025\n", "# upper bound should be where cdf = 0.975\n", "\n", "plt.plot(x,stats.norm.cdf(x, loc=290, scale=4))\n", "plt.axhline(0.025, linestyle='--', color=\"black\", xmin=0, xmax=.32)\n", "plt.axhline(0.975, linestyle='--', color=\"black\", xmin=0, xmax=(1-.32))\n", "plt.xlabel(\"x\")\n", "plt.ylabel(\"cdf(x)\")\n", "plt.show()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To find the corresponding values of x we need the inverse of cdf(x)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "282.1601440618398\n" ] } ], "source": [ "\n", "# in Python (Scipy.stats package) the inverse of \"cdf\" is called \"ppf\" (\"percent point function\")\n", "\n", "# lower bound where cdf = 0.025:\n", "lower_bound = stats.norm.ppf(0.025, loc=290, scale=4)\n", "print(lower_bound)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "297.8398559381602\n" ] } ], "source": [ "\n", "# upper bound where cdf = 0.975:\n", "upper_bound = stats.norm.ppf(0.975, loc=290, scale=4)\n", "print(upper_bound)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# lets also plot these values:\n", "plt.plot(x,stats.norm.cdf(x, loc=290, scale=4))\n", "plt.axhline(0.025, linestyle='--', color=\"black\", xmin=0, xmax=.32)\n", "plt.axhline(0.975, linestyle='--', color=\"black\", xmin=0, xmax=(1-.32))\n", "plt.axvline(lower_bound, linestyle='--', color=\"black\", ymin=0, ymax=.07)\n", "plt.axvline(upper_bound, linestyle='--', color=\"black\", ymin=0, ymax=1-.07)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# lets also plot pdf with interval:\n", "xint = np.arange(lower_bound, upper_bound, .1)\n", "plt.plot(x, stats.norm.pdf(x, loc=290, scale=4))\n", "plt.fill_between(xint, stats.norm.pdf(xint, loc=290, scale=4), color='peachpuff')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Example 4: Stochastic variable following an exponential distribution" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# X ~ exp(lambda)\n", "\n", "# mean = 2\n", "# lambda = 1/2 = 0.5\n", "\n", "x = np.arange(0, 5, .01)\n", "plt.plot(x, stats.expon.pdf(x, loc=0, scale=2))\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.36787944117144233\n" ] } ], "source": [ "# X ~ exp(lambda)\n", "# a) Probability P(X > 2)\n", "print(1 - stats.expon.cdf(2, loc=0, scale=2))" ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# lets also plot this probability:\n", "xint = np.arange(2, 5, .01)\n", "plt.plot(x, stats.expon.pdf(x, loc=0, scale=2))\n", "plt.fill_between(xint, stats.expon.pdf(xint, loc=0, scale=2), color='peachpuff')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.36787944117144233\n" ] } ], "source": [ "# b) Using poissondistribution to answer the same question\n", "\n", "# Poisson - count of events per time-interval\n", "# we want zero events (zero customers) in a timeinterval of 2 minutes\n", "# average waiting-time is 2 minutes, so the averate count per two minutes (average rate) is 1\n", "\n", "# we now use poisson distribution with fixed time interval of 2 minutes and calculate the probability of zero events P(X=0)\n", "\n", "print(stats.poisson.pmf(0,1))" ] }, { "cell_type": "code", "execution_count": 46, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# we can also plot the pdf for number of customers within next two minutes:\n", "plt.bar(np.arange(0,10,1), stats.poisson.pmf(np.arange(0,10,1), 1), width=0.1, color=\"red\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Example 5: " ] }, { "cell_type": "code", "execution_count": 85, "metadata": {}, "outputs": [ { "data": { "image/png": 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6YID/3uPc4Se2SkCYIdQAQKC4Q407ePiD+9ynT3t2AwfCBaEGAALFPSTkz56avn1dj3PfDwgThBoACJRADD9JrIBC2CLUAECgBGL46dzzswIKYYZQAwCBEqieGlZAIUwRagAgUAIxp0Zi+Alhi1ADAIES6Dk1DD8hzPQo1CxfvlxZWVmKi4tTbm6utmzZ0mXbXbt26bbbblNWVpZsNpuWLVt2Xpvi4mJNnDhR/fr108CBAzVt2jTt2bOnJ6UBQPAK1Jwahp8QprwONatXr1ZhYaEWLVqkiooKjR07VgUFBart4i/PqVOndMkll2jx4sXKyMjotM3GjRs1d+5cbd68WevXr1dLS4tuvvlmNTY2elseAAQnp1Oqr3d9z/AT4BdR3r5g6dKlmjNnjmbPni1JWrFihd5++2299NJLWrBgwXntJ06cqIkTJ0pSp89LUklJSYefX3nlFQ0cOFDl5eW6/vrrvS0RAILP0aOuYCNJaWn+fS+GnxCmvOqpaW5uVnl5ufLz89tPEBGh/Px8lZWV+ayohoYGSVL//v27bNPU1CSHw9HhAQBByz30lJIiRftp3yc3hp8QprwKNfX19WptbVW6+y9Mm/T0dNndG7X1ktPp1EMPPaRrr71Wo0eP7rJdcXGxkpKSPI/MzEyfvD8A+EWgJglL7T01R45IZ8/6//2AIBF0q5/mzp2rnTt3atWqVd22KyoqUkNDg+dx8ODBAFUIAD0QqOXcktS/vxTR9s+7O0wBYcCrOTVpaWmKjIxUzdfGaWtqarqcBOyNefPm6a233tKHH36ooUOHdts2NjZWsbGxvX5PAAiIQK18kqTISFd4qqlxhalBg/z/nkAQ8KqnJiYmRuPHj1dpaannmNPpVGlpqfLy8npchGEYmjdvntasWaP3339f2dnZPT4XAASlQA4/SayAQljyevVTYWGhZs2apQkTJmjSpElatmyZGhsbPauhZs6cqSFDhqi4uFiSa3Lx7t27Pd9XVVVp+/btSkhI0GWXXSbJNeS0cuVKvfnmm+rXr59nfk5SUpL69Onjkw8KAKYK5PCTxAoohCWvQ82MGTNUV1enhQsXym63KycnRyUlJZ7Jw5WVlYqIaO8Aqq6u1rhx4zw/L1myREuWLNGUKVO0YcMGSdLzzz8vSbrhhhs6vNfLL7+su+++29sSASD4BLqnhhVQCENehxrJNfdl3rx5nT7nDipuWVlZMgyj2/Nd6HkACHmBnFNz7vsQahBGgm71EwBYEsNPgN8RagAgEMyaKMySboQRQg0A+JvT6boRnhS44Sd3eCLUIIwQagDA344dk1pbXd/7e98nN0INwhChBgD8zT2fJjnZ//s+uRFqEIYINQDgb4GeT3Pue508KZ05E7j3BUxEqAEAfwv0cm5JSkxs7xWitwZhglADAP4W6OXckmSzMQSFsEOoAQB/M2P46dz3I9QgTBBqAMDfzBh+kgg1CDuEGgDwN3pqgIAg1ACAv5kxp+bc9yPUIEwQagDA3+ipAQKCUAMA/sacGiAgCDUA4E9Op1Rf7/o+0D017i0ZCDUIE4QaAPAnM/Z9cqOnBmGGUAMA/uQOFMnJUkxMYN+bUIMwE2V2AQBgFVkL3j7v2MSDO/WGpK9s8fpWJ8/7lTvUHD8utbQEbjNNwCT01ACAH6WeapAkHY1PCvyb9+8vRbT9M++e1wNYGKEGAPzI1FATESGlprq+ZwgKYYBQAwB+1L8t1NSbEWok5tUgrBBqAMCPTO2pkQg1CCuEGgDwI0+o6UOoAfyNUAMAftT/dNvwU19CDeBvhBoA8KP+pxyS6KkBAoFQAwB+lHbquCTm1ACBQKgBAD+xGU6ltPXUsPoJ8D9CDQD4SeKZRkUZTknSsfhEc4og1CCMEGoAwE/cQ0+O2L5qiTRpiwJCDcIIoQYA/MR9470jZvXSSO2h5siR9t3CAYsi1ACAn7hXPh2JTzavCPc2CYYhHT1qXh1AABBqAMBPUk+bfDdhybUzd0qK63uGoGBxPQo1y5cvV1ZWluLi4pSbm6stW7Z02XbXrl267bbblJWVJZvNpmXLlvX6nAAQClIbj0uSjvQxcfhJYl4NwobXoWb16tUqLCzUokWLVFFRobFjx6qgoEC1tbWdtj916pQuueQSLV68WBkZGT45JwCEgv6n24af+iabWwihBmHC61CzdOlSzZkzR7Nnz9aoUaO0YsUKxcfH66WXXuq0/cSJE/Xkk0/q9ttvV2xsrE/OCQChwPR9n9wINQgTUd40bm5uVnl5uYqKijzHIiIilJ+fr7Kysh4V0NNzNjU1qampyfOzw+Ho0fsDgL+kti3pDuTqp6wFb5937Bf7Tuv/SFq68i965sCwDs/tXzw1QJUB/udVT019fb1aW1uVnp7e4Xh6errsdnuPCujpOYuLi5WUlOR5ZGZm9uj9AcBfPPs+mTlR+Jz3dy8xB6wqZFc/FRUVqaGhwfM4ePCg2SUBQAepnvvUJJtah3v4K5VQA4vzavgpLS1NkZGRqqmp6XC8pqamy0nA/jpnbGxsl3N0AMBsNsOpFPdEYTNvvnfO+/c/TaiBtXnVUxMTE6Px48ertLTUc8zpdKq0tFR5eXk9KsAf5wQAsyWeaVS003UH32MmTxRuH35i7iGszaueGkkqLCzUrFmzNGHCBE2aNEnLli1TY2OjZs+eLUmaOXOmhgwZouLiYkmuicC7d+/2fF9VVaXt27crISFBl1122UWdEwBCjXuoxxHbV81RJu371MYdahh+gtV5HWpmzJihuro6LVy4UHa7XTk5OSopKfFM9K2srFRERHsHUHV1tcaNG+f5ecmSJVqyZImmTJmiDRs2XNQ5ASDUuId6zB56kqQjbT1FKacdru0SbDaTKwL8w+tQI0nz5s3TvHnzOn3OHVTcsrKyZBhGr84JAKEmtTFI7lGj9p6aaGerEpsa5YhLMLkiwD9CdvUTAASzoNj3qU1zVLROxPSRxBAUrI1QAwB+4L4nTH0QhBqJe9UgPBBqAMAPPFskBEuo4V41CAOEGgDwg2ALNZ571RBqYGGEGgDwg6AdfjrNvWpgXYQaAPCDYOup4V41CAeEGgDwg2ALNe571TD8BCsj1ACArxlG+75PQXCfGomeGoQHQg0A+FhiU/u+T0HTU+PZ1JI5NbAuQg0A+Jhn36eYeNP3fXLjPjUIB4QaAPCx1FPHJQVPL430teGni9i6BghFhBoA8LH2ScLmb2bp5p7bE9vaooTm0yZXA/gHoQYAfKz/qbZJwvHJ5hZyjtMxcToVHSuJIShYF6EGAHzMPfwULDfec3OHrLS2+gCrIdQAgI8F2z1q3Nq3SmAFFKyJUAMAPha8oSZZUntPEmA1hBoA8LFg2/fJjZ26YXWEGgDwsaDtqelLqIG1EWoAwMfcoSGYVj9J7P8E6yPUAIAP2Qxn+75PQXSfGomeGlgfoQYAfCjxTPu+T8eCZDNLN+bUwOoINQDgQ559n2L7Bs2+T271fZMlsfoJ1kWoAQAfcgeGYBt6ktq3beh/ysH+T7AkQg0A+FAwbpHg5p4oHOM8q8SmRpOrAXyPUAMAPpR6OjiXc0tSU3SsTsb0kcQKKFgToQYAfCi18bgk6Uif4Bt+kqQj8UwWhnURagDAh/q7l3O3TcoNNqyAgpURagDAh9LaemqOBtlybrd67lUDCyPUAIAP9W+bU+MOD8HGPYGZOTWwIkINAPiQe/VTsPbUuJd1p3GvGlgQoQYAfMgdFo4EfU+Nw9xCAD8g1ACAj9gMp1Lc96kJ0p6a9tVPx80tBPCDHoWa5cuXKysrS3FxccrNzdWWLVu6bf/GG29o5MiRiouL05gxY/TOO+90eP7kyZOaN2+ehg4dqj59+mjUqFFasWJFT0oDANMknTmpKMMpSToWhHcUlljSDWvzOtSsXr1ahYWFWrRokSoqKjR27FgVFBSotra20/abNm3SHXfcoXvuuUfbtm3TtGnTNG3aNO3cudPTprCwUCUlJfr1r3+tTz/9VA899JDmzZundevW9fyTAUCAuYNCQ2xftUQG175PbkcJNbAwr0PN0qVLNWfOHM2ePdvToxIfH6+XXnqp0/ZPP/20brnlFs2fP19XXnmlfvrTn+rqq6/Wc88952mzadMmzZo1SzfccIOysrJ07733auzYsRfsAQKAYOIOCkeC8G7CbvVttfU/1SBbW68SYBVehZrm5maVl5crPz+//QQREcrPz1dZWVmnrykrK+vQXpIKCgo6tJ88ebLWrVunqqoqGYahDz74QJ9//rluvvnmLmtpamqSw+Ho8AAAM/X3hJpkcwvpxrG2uT5RhlOJZ9j/CdbiVaipr69Xa2ur0tPTOxxPT0+X3W7v9DV2u/2C7Z999lmNGjVKQ4cOVUxMjG655RYtX75c119/fZe1FBcXKykpyfPIzMz05qMAgM+5e2qOBul8GklqjoqWI7avJJZ1w3qCYvXTs88+q82bN2vdunUqLy/XU089pblz5+q9997r8jVFRUVqaGjwPA4ePBjAigHgfKEw/CRJR9pCFzfgg9VEedM4LS1NkZGRqqmp6XC8pqZGGRkZnb4mIyOj2/anT5/Wo48+qjVr1mjq1KmSpKuuukrbt2/XkiVLzhu6couNjVVsbKw35QOAX4XC8JPkqi/72GEmC8NyvOqpiYmJ0fjx41VaWuo55nQ6VVpaqry8vE5fk5eX16G9JK1fv97TvqWlRS0tLYqI6FhKZGSknE4msQEIHWkhMPwksQIK1uVVT43kWn49a9YsTZgwQZMmTdKyZcvU2Nio2bNnS5JmzpypIUOGqLi4WJL04IMPasqUKXrqqac0depUrVq1Slu3btULL7wgSUpMTNSUKVM0f/589enTR8OHD9fGjRv13//931q6dKkPPyoA+Feo9NTUE2pgUV6HmhkzZqiurk4LFy6U3W5XTk6OSkpKPJOBKysrO/S6TJ48WStXrtRjjz2mRx99VCNGjNDatWs1evRoT5tVq1apqKhId955p44eParhw4fr5z//ue677z4ffEQACIz+ITOnJlkSc2pgPTbDMAyzi/AFh8OhpKQkNTQ0KDExuLt+AVhTXd8UDTh1XN+e/Yw+HXiJ2eV0afbWN7Wo9EW9NfKb+rtPPzS7HIQ5X/7+DorVTwAQ8pxO9T/tul9WfZAPP9FTA6si1ACALxw9qkj3vk99gru3mE0tYVWEGgDwhbo6SdLxuASdjfR6umJAHfFslcCd2GEthBoA8IW2TX2DfZKwdE6oOe2QuHUGLIRQAwC+0NZTEwqhxj08Fmk4paNHTa4G8B1CDQD4QluoORoCoeZsZJSOxyW4fmjrYQKsgFADAL7QFg6O9gn+UCOdc4PAtjAGWAGhBgB8oS3U1IdAT43UvqklPTWwEkINAPhC28a99X2Tza3jItFTAysi1ACAL3hCTYrJhVyco/TUwIIINQDgCyHWU1NPTw0siFADAL7gDjVBvkWCm2fpOT01sBBCDQD01pkzkqNt36cQ6anxLD2npwYWQqgBgN5q66VpioySI7avycVcHM9E4bbaASsg1ABAb3mGnlIkm83kYi5OrXtCM6EGFkKoAYDeCrFJwtI5tR47JjU1mVoL4CuEGgDorRAMNQ1xCWqOaNtNnMnCsAhCDQD0VoitfJIk2WztIcxuN7UUwFcINQDQWyHYUyNJde55NYQaWAShBgB6K0RDjadeJgvDIgg1ANBboTj8JHpqYD2EGgDorRDb98mNnhpYDaEGAHqrraejLsSGn+ipgdUQagCgN5qapOPHJYXgnBruKgyLIdQAQG+47/ESFaWGuARza/FSXQI9NbAWQg0A9Ia7l2PgQBm20PonlZ4aWE1o/Q0EgGDjDgTp6ebW0QOenhqHQzp92txiAB8g1ABAb4RwqDkREy/Fxrp+oLcGFkCoAYDecIeBjAxz6+gJm629bubVwAIINQDQGyHcUyOpvW56amABhBoA6I1QDzX01MBCCDUA0BuhHmroqYGF9CjULF++XFlZWYqLi1Nubq62bNnSbfs33nhDI0eOVFxcnMaMGaN33nnnvDaffvqpvvOd7ygpKUl9+/bVxIkTVVlZ2ZPyACBwQj3U0FMDC/E61KxevVqFhYVatGiRKioqNHbsWBUUFKjWfQOqr9m0aZPuuOMO3XPPPdq2bZumTZumadOmaefOnZ42X375pa677jqNHDlSGzZs0I4dO/T4448rLi6u558MAAIh1EMNPTWwEJthGIY3L8jNzdXEiRP13HPPSZKcTqcyMzP1wAMPaMGCBee1nzFjhhobG/XWW295jl1zzTXKycnRihUrJEm33367oqOj9dprr/X4gzgcDiUlJamhoUGJiYk9Pg8AXLSWFikmxvV9ba2ynuq+1zoY7Z94Rvr+96XJk6W//MXschCGfPn726uemubmZpWXlys/P7/9BBERys/PV1lZWaevKSsr69BekgoKCjztnU6n3n77bV1++eUqKCjQwIEDlZubq7Vr13r5UQAgwNy9G5GRUmqqubX0FD01sBCvQk19fb1aW1uV/rVu1vT0dNm7GI+12+3dtq+trdXJkye1ePFi3XLLLXr33Xd166236nvf+542btzYZS1NTU1yOBwdHgAQUIcPu75mZEgRIbrugjk1sJAoswtwOp2SpO9+97v60Y9+JEnKycnRpk2btGLFCk2ZMqXT1xUXF+snP/lJwOoEgPO4Q82gQebW0Rvu/3Q2NkonT0oJobUpJ3Aur/5rkZaWpsjISNV8rZuypqZGGV3cTTMjI6Pb9mlpaYqKitKoUaM6tLnyyiu7Xf1UVFSkhoYGz+PgwYPefBQA6D13qBk82Nw6eiMhQYqPd33PEBRCnFehJiYmRuPHj1dpaannmNPpVGlpqfLy8jp9TV5eXof2krR+/XpP+5iYGE2cOFF79uzp0Obzzz/X8OHDu6wlNjZWiYmJHR4AEFBW6Kmx2ZhXA8vwevipsLBQs2bN0oQJEzRp0iQtW7ZMjY2Nmj17tiRp5syZGjJkiIqLiyVJDz74oKZMmaKnnnpKU6dO1apVq7R161a98MILnnPOnz9fM2bM0PXXX68bb7xRJSUl+v3vf68NGzb45lMCgD9UV7u+hnKokVzzavbtY14NQp7XoWbGjBmqq6vTwoULZbfblZOTo5KSEs9k4MrKSkWcM2Fu8uTJWrlypR577DE9+uijGjFihNauXavRo0d72tx6661asWKFiouL9cMf/lBXXHGFfvvb3+q6667zwUcEAD+xQk+N1N5TQ6hBiOvRROF58+Zp3rx5nT7XWe/K9OnTNX369G7P+YMf/EA/+MEPelIOAJjDCnNqpPb63Z8HCFEhugYRAIKAVXpq3KHGPZwGhChCDQD0RGtr+3ANoQYICoQaAOiJujrJ6XStHho40OxqeodQA4sg1ABAT7iHntLTpSjT72PaO4QaWAShBgB6wirzaaT2UFNfLzU1mVsL0AuEGgDoCavco0aS+vdv322cZd0IYYQaAOgJK/XU2GwMQcESCDUA0BNWuUeNG6EGFkCoAYCesFJPjUSogSUQagCgJwg1QNAh1ABAT1hporBEqIElEGoAwFuG0b5KiDk1QNAg1ACAt44ckVpaXN+7d7gOdYQaWAChBgC85f7Fn5bWfn+XUEeogQUQagDAW1VVrq9Dh5pbhy+5Q83x49KpU6aWAvQUoQYAvHXokOurlUJNYqIUH+/63r2yCwgxhBoA8JYVQw13FYYFhPjWsgBgAguFmqwFb3u+X90Up1xJ85a8pbfedpzXdv/iqQGsDPAePTUA4C0LhZpz2RNSJUnpJ4+aXAnQM4QaAPCWRUNNTUJ/SdJAQg1CFKEGALxl8VAz6ES9yZUAPUOoAQBvOByuhyQNGWJuLT52OHGAJGmQg1CD0ESoAQBvuO9Rk5QkJSSYW4uPHe6XJkkadKLO5EqAniHUAIA3LDr0JEnVia5Qk3HiiCKcrSZXA3iPUAMA3rBwqKnrm6KWiEhFGU4NPHnM7HIArxFqAMAbFg41zohIz2ThwQxBIQQRagDAGxYONZJ0uB+ThRG6CDUA4A2rh5pEJgsjdBFqAMAbFg811W3LugfTU4MQRKgBAG9YPdR4lnUTahB6CDUAcLFOnZKOtm0hYNFQc9jTU8PwE0IPoQYALpb7xnvx8a6b71mQu6eG1U8IRYQaALhYBw64vg4fLtls5tbiJ+6emgGNxxVztsXkagDv9CjULF++XFlZWYqLi1Nubq62bNnSbfs33nhDI0eOVFxcnMaMGaN33nmny7b33XefbDabli1b1pPSAMB/zg01FnW0T6LORMVIktJPHjG5GsA7Xoea1atXq7CwUIsWLVJFRYXGjh2rgoIC1dbWdtp+06ZNuuOOO3TPPfdo27ZtmjZtmqZNm6adO3ee13bNmjXavHmzBg8e7P0nAQB/C4NQI5tNh/ulSmJeDUKP16Fm6dKlmjNnjmbPnq1Ro0ZpxYoVio+P10svvdRp+6efflq33HKL5s+fryuvvFI//elPdfXVV+u5557r0K6qqkoPPPCAXn/9dUVHR/fs0wCAP+3f7/qalWVmFX7nvgEfoQahxqtQ09zcrPLycuXn57efICJC+fn5Kisr6/Q1ZWVlHdpLUkFBQYf2TqdTd911l+bPn69vfOMbF1VLU1OTHA5HhwcA+FU49NSo/V41LOtGqPEq1NTX16u1tVXp6ekdjqenp8tut3f6GrvdfsH2v/zlLxUVFaUf/vCHF11LcXGxkpKSPI/MzEwvPgkA9EC4hBr3Cih6ahBiTF/9VF5erqefflqvvPKKbF6sJigqKlJDQ4PncfDgQT9WCSDsnT3bfuM9q4ca7lWDEOVVqElLS1NkZKRqamo6HK+pqVFGRkanr8nIyOi2/Z/+9CfV1tZq2LBhioqKUlRUlA4cOKCHH35YWd2MW8fGxioxMbHDAwD8pqpKam2VoqOlQYPMrsavDiW5etczG2ou0BIILl6FmpiYGI0fP16lpaWeY06nU6WlpcrLy+v0NXl5eR3aS9L69es97e+66y7t2LFD27dv9zwGDx6s+fPn649//KO3nwcA/MM99DRsmBRheie3Xx1MdoWaoQ21kmGYXA1w8aK8fUFhYaFmzZqlCRMmaNKkSVq2bJkaGxs1e/ZsSdLMmTM1ZMgQFRcXS5IefPBBTZkyRU899ZSmTp2qVatWaevWrXrhhRckSampqUpNTe3wHtHR0crIyNAVV1zR288HAL4RJvNpJNfwk1M29TnbpAGNx1WXkGJ2ScBF8TrUzJgxQ3V1dVq4cKHsdrtycnJUUlLimQxcWVmpiHP+FzN58mStXLlSjz32mB599FGNGDFCa9eu1ejRo333KQDA38JkObcktURG63C/NA05UafMBjuhBiHDZhjW6Ft0OBxKSkpSQ0MD82sA+EzWgrclSYv/8Ixu3/Gull53p5659g6Tq/K/1SsXKPfgTv3w7/9F60bdIEnav3iquUXBknz5+9vaA8MA4CNDGlx3Ta9KHGhyJYFx0D1Z+DiThRE6CDUAcBGGOly/3A8lhVmoYQUUQgihBgAuwGY4PfdsqQqXUJPsDjWd31gVCEaEGgC4gPQTRxXbelYtEZE63Ha3XaurTHbdS4zhJ4QSQg0AXEDW8WpJrqGn1ohIk6sJDPfw02BHnSKdrSZXA1wcQg0AXMCwY64hmMpka99J+Fy1Cf3VFBmtKMPJxpYIGYQaALiA4ccPS5IOhFGoMWwRnknRDEEhVBBqAOAChh939dQcSO58jzurcu8BNZTJwggRhBoAuIDhx1xzag6kDDa5ksDiXjUINYQaAOiOYYRtT417BVRW2/AbEOwINQDQjeQzJ5TY1Cip/Zd8uNjXf4gkKautpwoIdoQaAOjG8GOuXorDCalqio41uZrA2tc23JZ9tEqyxjaBsDhCDQB0wz30VJkSPiuf3CqTB8kpm/o1n1baqeNmlwNcEKEGALrhmSQcZkNPktQcFe1Z1p19tMrkaoALI9QAQDfaJwmHX0+NJO1vG4JiXg1CAaEGALqR5VnOHZ6h5qu2ycKXHCXUIPgRagCgK4ahy44clCR9kZppcjHmcPfUZB9j+AnBj1ADAF2pr1fymZNyyuZZCRRuPMu66alBCCDUAEBXPvtMkmt37nBbzu3mHn7KPlYtOZ0mVwN0j1ADAF1pCzVfpg41uRDzVCcOUHNElGJbW6SDB80uB+gWoQYAuuIONf3DN9S0RkS230l5715ziwEugFADAF3x9NSE5yRht6/cPVWffmpuIcAFEGoAoCsMP0mS9rpD3a5d5hYCXAChBgA6c+aMtG+fpPAefpKkz9OGub4h1CDIEWoAoDN790qGoeNxCToSn2R2Nabamzbc9c2uXWxsiaBGqAGAzuzeLaltSbPNZnIx5voydahabRHSsWOS3W52OUCXCDUA0JlPPpEk7XH3UoSxpqgY7XdvE8EQFIIYoQYAOtMWaj4bmG1yIcFhr3tezc6d5hYCdINQAwCd2bFDkrRnAD01kvR5KpOFEfwINQDwdQ6HtH+/JOmzAVmmlhIs9rICCiGAUAMAX+ceYhk8WMf7JJpbS5D4fAAroBD8CDUA8HVt82l01VXm1hFEvuo/RIqKcvViVVaaXQ7QqR6FmuXLlysrK0txcXHKzc3Vli1bum3/xhtvaOTIkYqLi9OYMWP0zjvveJ5raWnRI488ojFjxqhv374aPHiwZs6cqepqtrkHYJK2+TQaM8bcOoJIS2S09I1vuH7Yts3cYoAueB1qVq9ercLCQi1atEgVFRUaO3asCgoKVFtb22n7TZs26Y477tA999yjbdu2adq0aZo2bZp2tnXvnjp1ShUVFXr88cdVUVGh3/3ud9qzZ4++853v9O6TAUBP0VPTuauvdn2tqDC3DqALNsPwbnA0NzdXEydO1HPPPSdJcjqdyszM1AMPPKAFCxac137GjBlqbGzUW2+95Tl2zTXXKCcnRytWrOj0PT7++GNNmjRJBw4c0LBhwy6qLofDoaSkJDU0NCgxkTFwAD3kdEopKa5hlr/+VVkrD5pdUdDYP3Sf9MAD0tSp0jn/pgO94cvf31711DQ3N6u8vFz5+fntJ4iIUH5+vsrKyjp9TVlZWYf2klRQUNBle0lqaGiQzWZTcnJyl22amprkcDg6PACg1774whVo4uKkUaPMria40FODIOdVqKmvr1dra6vS09M7HE9PT5e9i1tn2+12r9qfOXNGjzzyiO64445uE1txcbGSkpI8j8zMTG8+CgB0butW19dx41wTY9Fu7FjXlhGHD7NdAoJSUK1+amlp0T/8wz/IMAw9//zz3bYtKipSQ0OD53HwIF3EAHzg449dXydMMLeOYNS3rzRypOt7JgsjCHkVatLS0hQZGamampoOx2tqapSRkdHpazIyMi6qvTvQHDhwQOvXr7/guFpsbKwSExM7PACg19w9NRMnmltHsBo3zvWVISgEIa9CTUxMjMaPH6/S0lLPMafTqdLSUuXl5XX6mry8vA7tJWn9+vUd2rsDzd69e/Xee+8pNTXVm7IAwDdaW9t/WdNT0zn3vBp3+AOCiNcDxoWFhZo1a5YmTJigSZMmadmyZWpsbNTs2bMlSTNnztSQIUNUXFwsSXrwwQc1ZcoUPfXUU5o6dapWrVqlrVu36oUXXpDkCjTf//73VVFRobfeekutra2e+Tb9+/dXTEyMrz4rAHTvs8+kU6ekhATp8svNriY45ea6vm7e7LqzsM1mbj3AObwONTNmzFBdXZ0WLlwou92unJwclZSUeCYDV1ZWKiKivQNo8uTJWrlypR577DE9+uijGjFihNauXavRo0dLkqqqqrRu3TpJUk5OTof3+uCDD3TDDTf08KMBgJfc82nGj5ciI82tJQhlLXhbsS1N+iQiSjF2u667/yUdSu586sH+xVMDXB3Qg1AjSfPmzdO8efM6fW7Dhg3nHZs+fbqmT5/eafusrCx5eascAPCPTZtcXydNMreOINYUHavd6Zco5/Dnurr6sy5DDWCGoFr9BACm+vOfXV+vu87cOoJc+ZArJUnjqz41uRKgI0INAEhSfb30adsv6WuvNbeWINceaj4zuRKgI0INAEjSX/7i+jpqlMQKzG5VDHbdq+bK2n2Kbz5tcjVAO0INAEgMPXnBnpimQ4kDFGk4Na56j9nlAB6EGgCQpD/9yfWVUHNRPsp0rWCdfOCvJlcCtCPUAIDDIZWXu77/5jfNrSVE/CUrR5J07YHtptYBnIvd2gCElawFb593LH/vR/qvs2e1L2WQblyxS9KuwBcWYv4yfKwkaYz9SyWeOSlHXILJFQH01ACArt/n2hrhT1lXm1xJ6Kjpl6Yv+w9VpOHUNZWfmF0OIIlQAwD65v62UJM9zuRKQou7t4YhKAQLQg2AsJZ53K7sY4d11hahsmFXmV1OSPlLlivUXL+vwrUPFGAyQg2AsHbDV67dpiuGjNTJ2HiTqwktfx6eo6bIKGUfO6zLjhw0uxyAUAMgvBV8XiZJeu+yXJMrCT2NsfHa1DYEdfPezSZXAxBqAISxpNMnPJNc/3h5nsnVhKb1I66RJP3N3o9MrgQg1AAIYzd9uUVRhlOfpQ3XgZTBZpcTkt671LWj+bjDezTg5FGTq0G4I9QACFu3tA090UvTc7X9UrVt0BWSpKmf/dnkahDuCDUAwlLyaYdu+NI1SfidkWyN0Btrv3GDJOnWXR+YWwjCHqEGQFj6zu6NinGe1c70S7VnQJbZ5YS03195vVoiIjXWvleX1rMKCuYh1AAIS9/fWSpJ+u3ob5lcSeg7Gp+kjdmuuzF/b9f7JleDcEaoARB2rqz9SlfZv1BLRKTeHHWD2eVYwu9G3yRJmv7Je4pubTG5GoQrQg2AsDN76zpJ0h9H5OlofJLJ1VjD+hG5qknor4GNx/S3TBiGSQg1AMJKauNxfXf3BknSSxO/a24xFtISGa3Xxv2tJGl2+Tq2TYApCDUAwsrMircV23pW2wddrorBI80ux1JW5nxbTZHRyjm8V/ozvTUIPEINgPBx5Ih+sHWtJOnFibdKNpu59VjM0fgk/e8Y19waPf44vTUIOEINgPDxxBPq13xauwdm652R15pdjSU9lzdDTZFR0saNUmmp2eUgzESZXQAA9FbWgrcv2GbYscN696VlipO05Jt3ybDxfzp/OJw4QK/n/K1+UL5OevhhaetWKTra7LIQJvhbDcD6DEM/e/c/FXe2WX8ePlbvXzrR7Ios7dnJM6TUVGnHDunpp80uB2GEUAPA8qZ/sl7X79+mpshoPXbzPzOXxs+OxSdJTz7p+mHRIunTT80tCGGDUAPA0kbUHdC/r/+VJOnpa+/Q/v5DTK4oTNx9t5SfL506JU2fLjU2ml0RwgChBoBlpTUe04u/+5n6nG3Sh1nj9Pw13ze7pPBhs0mvvSalp0u7dkkzZ0pnz5pdFSyOUAPAklJONejV3yxS1vHDOpCcoR/93cNMDg60jAzpN7+RYmKk3/1OuvdeqbXV7KpgYfwNB2A5WUer9Ntfz9c3ar9SXXyy7vqHn+pI32SzywpP118vrVolRURIL78sfe97DEXBbwg1AKzDMDR9x3q99epDuuRYtQ4lDtTt/6dYlSmDzK4svN16qyvYxMZK69ZJ48ZJZWVmVwUL6lGoWb58ubKyshQXF6fc3Fxt2bKl2/ZvvPGGRo4cqbi4OI0ZM0bvvPNOh+cNw9DChQs1aNAg9enTR/n5+dq7d29PSgMQjgxD1+7frrWvPawn//C0EppP66Oh39Ctdy3Rl6mZZlcXlrIWvN3xUR6v733/Z7In9Jf27pVz8rVa840bdeO9L5hdKizE61CzevVqFRYWatGiRaqoqNDYsWNVUFCg2traTttv2rRJd9xxh+655x5t27ZN06ZN07Rp07Rz505PmyeeeELPPPOMVqxYoY8++kh9+/ZVQUGBzpw50/NPBsDaDEPavl36xS9U+l/36/XVjynn8OdqjI7T4il36447fqG6hP5mV4lzVAy9Ujff85/67ehvKUKGbt29QR+8+E/SjTdKL74oVVaaXSJCnM0wvNucIzc3VxMnTtRzzz0nSXI6ncrMzNQDDzygBQsWnNd+xowZamxs1FtvveU5ds011ygnJ0crVqyQYRgaPHiwHn74Yf3Lv/yLJKmhoUHp6el65ZVXdPvtt19UXQ6HQ0lJSWpoaFBiYqI3HwlAMDp71jX34uRJqaZGqqqSDh2SvvpK2rbNFWiOHPE0PxnTR/87+iYtz5uhuoQU8+rGRfmG/Qs99JeVuumLjxWhc34NZWdLY8dKV13l+n7oUGnIEKl/f6lfP6lPH+4zZDG+/P3t1TYJzc3NKi8vV1FRkedYRESE8vPzVdbF+GhZWZkKCws7HCsoKNDatWslSfv27ZPdbld+fr7n+aSkJOXm5qqsrKzLUNPU1KSmpibPzw0NDZJcFwcISiUl0tKlru/d/5c49/8UnR37+nPevNasY53V7c15Tp1yhZlz/n53qU8f6YYbtLBlmEpG5OlUbLzreNOpC78WpvokZbDu+bt/UcaJOr036LD0xz+6tlTYt8/1aPsdcZ6ICFe4iYuToqI6f0REdAw+3YWgrz/X3etCMUytWSP17Wt2Fd1y/972so+lU16Fmvr6erW2tio9Pb3D8fT0dH322WedvsZut3fa3m63e553H+uqTWeKi4v1k5/85LzjmZmMnwNh4/Rp6Q9/cH3/3q/MrQU9clBSkjcvcDqlhgbXAxc2eLDZFVy0I0eOKCnJqz8N5wnZDS2Lioo69AAdP35cw4cPV2VlZa8vipU4HA5lZmbq4MGDDMt9Ddema1ybrnFtusa16RrXpmsNDQ0aNmyY+vfv/Rw4r0JNWlqaIiMjVVNT0+F4TU2NMjIyOn1NRkZGt+3dX2tqajRo0KAObXJycrqsJTY2VrGxsecdT0pK4g9MJxITE7kuXeDadI1r0zWuTde4Nl3j2nQtIqL3d5nx6gwxMTEaP368SktLPcecTqdKS0uVl5fX6Wvy8vI6tJek9evXe9pnZ2crIyOjQxuHw6GPPvqoy3MCAAB8ndfDT4WFhZo1a5YmTJigSZMmadmyZWpsbNTs2bMlSTNnztSQIUNUXFwsSXrwwQc1ZcoUPfXUU5o6dapWrVqlrVu36oUXXPcmsNlseuihh/Szn/1MI0aMUHZ2th5//HENHjxY06ZN890nBQAAluZ1qJkxY4bq6uq0cOFC2e125eTkqKSkxDPRt7KyskMX0uTJk7Vy5Uo99thjevTRRzVixAitXbtWo0eP9rT58Y9/rMbGRt177706fvy4rrvuOpWUlCguLu6i64qNjdWiRYs6HZIKZ1yXrnFtusa16RrXpmtcm65xbbrmy2vj9X1qAAAAghF7PwEAAEsg1AAAAEsg1AAAAEsg1AAAAEuwVKhpampSTk6ObDabtm/f3uG5HTt26Jvf/Kbi4uKUmZmpJ554wpwiA+g73/mOhg0bpri4OA0aNEh33XWXqqurO7QJx+uyf/9+3XPPPcrOzlafPn106aWXatGiRWpubu7QLhyvjST9/Oc/1+TJkxUfH6/k5ORO21RWVmrq1KmKj4/XwIEDNX/+fJ09ezawhZpk+fLlysrKUlxcnHJzc7VlyxazSwq4Dz/8UH//93+vwYMHy2azefbyczMMQwsXLtSgQYPUp08f5efna+/eveYUG0DFxcWaOHGi+vXrp4EDB2ratGnas2dPhzZnzpzR3LlzlZqaqoSEBN12223n3aDWip5//nldddVVnpsP5uXl6Q/uLU7ku+tiqVDz4x//WIM72efC4XDo5ptv1vDhw1VeXq4nn3xS//Zv/+a5V45V3XjjjfrNb36jPXv26Le//a2+/PJLff/73/c8H67X5bPPPpPT6dSvfvUr7dq1S//xH/+hFStW6NFHH/W0CddrI7k2rp0+fbruv//+Tp9vbW3V1KlT1dzcrE2bNunVV1/VK6+8ooULFwa40sBbvXq1CgsLtWjRIlVUVGjs2LEqKChQbW2t2aUFVGNjo8aOHavly5d3+vwTTzyhZ555RitWrNBHH32kvn37qqCgQGfOnAlwpYG1ceNGzZ07V5s3b9b69evV0tKim2++WY2NjZ42P/rRj/T73/9eb7zxhjZu3Kjq6mp973vfM7HqwBg6dKgWL16s8vJybd26Vd/61rf03e9+V7t27ZLkw+tiWMQ777xjjBw50ti1a5chydi2bZvnuf/8z/80UlJSjKamJs+xRx55xLjiiitMqNQ8b775pmGz2Yzm5mbDMLgu53riiSeM7Oxsz89cG8N4+eWXjaSkpPOOv/POO0ZERIRht9s9x55//nkjMTGxw/WyokmTJhlz5871/Nza2moMHjzYKC4uNrEqc0ky1qxZ4/nZ6XQaGRkZxpNPPuk5dvz4cSM2Ntb4n//5HxMqNE9tba0hydi4caNhGK7rEB0dbbzxxhueNp9++qkhySgrKzOrTNOkpKQY//Vf/+XT62KJnpqamhrNmTNHr732muLj4897vqysTNdff71iYmI8xwoKCrRnzx4dO3YskKWa5ujRo3r99dc1efJkRUdHS+K6nKuhoaHDZmpcm66VlZVpzJgxnhtuSq5r43A4PP/rsqLm5maVl5crPz/fcywiIkL5+fkqKyszsbLgsm/fPtnt9g7XKSkpSbm5uWF3nRradhJ3/9tSXl6ulpaWDtdm5MiRGjZsWFhdm9bWVq1atUqNjY3Ky8vz6XUJ+VBjGIbuvvtu3XfffZowYUKnbex2e4d/gCV5frbb7X6v0UyPPPKI+vbtq9TUVFVWVurNN9/0PBfO1+VcX3zxhZ599ln90z/9k+cY16Zr4Xpt6uvr1dra2ulnt/Ln9pb7WoT7dXI6nXrooYd07bXXeu6gb7fbFRMTc95ctXC5Np988okSEhIUGxur++67T2vWrNGoUaN8el2CNtQsWLBANput28dnn32mZ599VidOnFBRUZHZJQfExV4Xt/nz52vbtm169913FRkZqZkzZ8qw6E2kvb02klRVVaVbbrlF06dP15w5c0yq3P96cm0A9NzcuXO1c+dOrVq1yuxSgsYVV1yh7du366OPPtL999+vWbNmaffu3T59D6/3fgqUhx9+WHfffXe3bS655BK9//77KisrO2/PiAkTJujOO+/Uq6++qoyMjPNmUbt/zsjI8Gnd/nax18UtLS1NaWlpuvzyy3XllVcqMzNTmzdvVl5enqWui+T9tamurtaNN96oyZMnnzcBONyvTXcyMjLOW/ETytfmYqWlpSkyMrLTPxdW/tzecl+LmpoaDRo0yHO8pqZGOTk5JlUVWPPmzdNbb72lDz/8UEOHDvUcz8jIUHNzs44fP96hVyJc/gzFxMTosssukySNHz9eH3/8sZ5++mnNmDHDZ9claEPNgAEDNGDAgAu2e+aZZ/Szn/3M83N1dbUKCgq0evVq5ebmSpLy8vL0r//6r2ppafHMJ1m/fr2uuOIKpaSk+OcD+MnFXpfOOJ1OSa6l75K1rovk3bWpqqrSjTfeqPHjx+vll1/usAmrFN7X5kLy8vL085//XLW1tRo4cKAk17VJTEzUqFGjfPIewSgmJkbjx49XaWmppk2bJsn1d6q0tFTz5s0zt7ggkp2drYyMDJWWlnpCjMPh8Pzv3MoMw9ADDzygNWvWaMOGDcrOzu7w/Pjx4xUdHa3S0lLddtttkqQ9e/aosrJSeXl5ZpRsKqfTqaamJt9eF59OZQ4C+/btO2/10/Hjx4309HTjrrvuMnbu3GmsWrXKiI+PN371q1+ZV6ifbd682Xj22WeNbdu2Gfv37zdKS0uNyZMnG5deeqlx5swZwzDC87oYhmEcOnTIuOyyy4ybbrrJOHTokHH48GHPwy1cr41hGMaBAweMbdu2GT/5yU+MhIQEY9u2bca2bduMEydOGIZhGGfPnjVGjx5t3Hzzzcb27duNkpISY8CAAUZRUZHJlfvfqlWrjNjYWOOVV14xdu/ebdx7771GcnJyh5Vg4eDEiROePxeSjKVLlxrbtm0zDhw4YBiGYSxevNhITk423nzzTWPHjh3Gd7/7XSM7O9s4ffq0yZX71/33328kJSUZGzZs6PDvyqlTpzxt7rvvPmPYsGHG+++/b2zdutXIy8sz8vLyTKw6MBYsWGBs3LjR2Ldvn7Fjxw5jwYIFhs1mM959913DMHx3XcIi1BiGYfz1r381rrvuOiM2NtYYMmSIsXjxYnMKDJAdO3YYN954o9G/f38jNjbWyMrKMu677z7j0KFDHdqF23UxDNdSZUmdPs4VjtfGMAxj1qxZnV6bDz74wNNm//79xre//W2jT58+RlpamvHwww8bLS0t5hUdQM8++6wxbNgwIyYmxpg0aZKxefNms0sKuA8++KDTPyOzZs0yDMO1rPvxxx830tPTjdjYWOOmm24y9uzZY27RAdDVvysvv/yyp83p06eNf/7nfzZSUlKM+Ph449Zbb+3wHyqr+sEPfmAMHz7ciImJMQYMGGDcdNNNnkBjGL67LjbDsOisUQAAEFaCdvUTAACANwg1AADAEgg1AADAEgg1AADAEgg1AADAEgg1AADAEgg1AADAEgg1AADAEgg1AADAEgg1AADAEgg1AADAEgg1AADAEv4/dAPTLC1LYCIAAAAASUVORK5CYII=", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# simulate 1000 realisations of the random variable X:\n", "x = stats.norm.rvs(loc=4, scale=np.sqrt(6), size=1000)\n", "plt.hist(x, density=True)\n", "plt.plot(np.arange(4-20,4+20,0.01), stats.norm.pdf(np.arange(4-20,4+20,0.01), loc=4,scale=np.sqrt(6)), color=\"red\")\n", "plt.xlim(-40,30)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 84, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# calsulate corresponding values of the stochastic variable Y:\n", "y = -3*x + 2\n", "plt.hist(x, density=True)\n", "plt.plot(np.arange(4-20,4+20,0.01), stats.norm.pdf(np.arange(4-20,4+20,0.01), loc=4,scale=np.sqrt(6)), color=\"red\")\n", "\n", "plt.hist(y, density=True)\n", "plt.plot(np.arange(4-50,4+50,0.01), stats.norm.pdf(np.arange(4-50,4+50,0.01), loc=-10,scale=np.sqrt(54)), color=\"red\")\n", "plt.xlim(-40,30)\n", "plt.show()" ] } ], "metadata": { "kernelspec": { "display_name": "pernille", "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": "3.11.5" } }, "nbformat": 4, "nbformat_minor": 2 }