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Last active February 28, 2024 07:04
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Assignment 6
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{
"cells": [
{
"cell_type": "code",
"execution_count": 46,
"id": "18a01392",
"metadata": {},
"outputs": [],
"source": [
"x =[ 10, 20, 40, 40, 40, 60, 70, 20, 40, 40, 40, 40, 40, 60, 10, 20, 30, 40, 50, 60, 70, 70, 20, 30, 40, 50, 70, 20 ]"
]
},
{
"cell_type": "code",
"execution_count": 47,
"id": "760e1d7a",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import matplotlib.pyplot as plt\n",
"plt.hist(x, bins=7, range=[10, 80])\n",
"plt.yticks(range(0, 11, 1))\n",
"plt.grid()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 48,
"id": "36d1e6cf",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[10, 10, 20, 20, 20, 20, 20, 30, 30, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 50, 50, 60, 60, 60, 70, 70, 70, 70]\n"
]
}
],
"source": [
"y = sorted(x)\n",
"print(y)"
]
},
{
"cell_type": "code",
"execution_count": 49,
"id": "4da5d8c6",
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"x= [10, 11, 12, 13, 14, 34, 56, 59, 74, 77, 79]\n",
"plt.hist(x, bins=4, range=[10,80])\n",
"plt.yticks(range(0, 7, 1))\n",
"plt.xticks([10,27, 45, 62])\n",
"plt.grid()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 50,
"id": "2e7cab28",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[40, 62, 26, 42, 22, 77, 47, 51, 15, 12, 22, 55, 32, 29, 66, 22, 25, 34, 72, 25, 58, 58, 36, 41, 27, 28, 25, 53, 67, 75, 75, 43, 10, 75, 13, 52, 70, 21, 80, 32, 72, 64, 50, 63, 23, 72, 77, 24, 45, 57, 37, 58, 65, 40, 26, 13, 74, 37, 69, 17, 61, 66, 31, 42, 45, 71, 27, 26, 35, 28, 69, 75, 73, 48, 59, 70, 41, 24, 44, 72, 79, 58, 73, 77, 72, 75, 73, 68, 13, 59, 66, 41, 42, 32, 75, 37, 13, 76, 14, 22]\n"
]
}
],
"source": [
"import random as rnd\n",
"x = [\n",
" rnd.randint(10,80)\n",
" for i in range(0,100)\n",
"]\n",
"\n",
"print(x)"
]
},
{
"cell_type": "code",
"execution_count": 51,
"id": "4ee10335",
"metadata": {
"scrolled": true
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.hist(x, bins= 7, range= [10,80])\n",
"plt.yticks(range(0, 25, 2))\n",
"plt.grid()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "d85b5ce3",
"metadata": {},
"source": [
"Exercise 2\n",
"\n",
"The for bins should be 7, the data is evenly spread out across the range [10, 80], having 7 bins can provide a decent level of granularity without overwhelming the viewer with too many details.\n"
]
},
{
"cell_type": "code",
"execution_count": 52,
"id": "7c7f92cf",
"metadata": {},
"outputs": [],
"source": [
"N = 1000; a=20; b=60; x=[]\n",
"for i in range(N):\n",
" xi = rnd.randint(a,b)\n",
" x.append(xi)"
]
},
{
"cell_type": "code",
"execution_count": 53,
"id": "7f1945ca",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"N= 1000\n",
"xmin= 20\n",
"xmax= 60\n",
"mean= 39.639\n"
]
}
],
"source": [
"import statistics as stat\n",
"print('N= ', len(x))\n",
"print('xmin= ', min(x))\n",
"print('xmax= ', max(x))\n",
"print('mean= ', stat.mean(x))"
]
},
{
"cell_type": "code",
"execution_count": 54,
"id": "9e8ba9fe",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import numpy as np\n",
"\n",
"plt.hist(x, bins=10)\n",
"plt.xticks(np.arange(20, 64, 4))\n",
"plt.xlim([20, 60])\n",
"plt.grid()\n",
"plt.show()\n"
]
},
{
"cell_type": "code",
"execution_count": 55,
"id": "8c82c99e",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"N = 1000; a=20; b=60; x=[]\n",
"for i in range(N):\n",
" xi = rnd.randint(a,b)\n",
" x.append(xi)\n",
"plt.hist(x, bins=10)\n",
"plt.xticks(np.arange(20, 64, 4))\n",
"plt.xlim([20, 60])\n",
"plt.grid()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 56,
"id": "ef5d86c0",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"N = 1000; a=20; b=60; x=[]\n",
"for i in range(N):\n",
" xi = rnd.randint(a,b)\n",
" x.append(xi)\n",
"plt.hist(x, bins=10)\n",
"plt.xticks(np.arange(20, 64, 4))\n",
"plt.xlim([20, 60])\n",
"plt.grid()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 57,
"id": "67de8cc2",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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iAACAlSgxAADASpQYAABgJUoMAACwEiUGAABYiRIDAACsRIkBAABWosQAAAArUWIAAICVKDEAAMBKlBgAAGAlSgwAALASJQYAAFiJEgMAAKxEiQEAAFaixAAAACtRYgAAgJUoMQAAwEqUGAAAYCVKDAAAsBIlBgAAWIkSAwAArESJAQAAVqLEAAAAK1FiAACAlSgxAADASpQYAABgJUoMAACwEiUGAABYiRIDAACsRIkBAABWosQAAAArUWIAAICVKDEAAMBKlBgAAGAlSgwAALASJQYAAFiJEgMAAKxEiQEAAFaixAAAACtRYgAAgJUoMQAAwEqUGAAAYCVKDAAAsBIlBgAAWIkSAwAArESJAQAAVuqXEnPo0CHddtttyszMVFpamq6++mrt3Lkzcr0xRoFAQH6/X6mpqSooKFBDQ0N/jAIAAFzK8RLT0tKiSZMmKTk5WS+++KL+8Y9/6PHHH9dFF10UOWbVqlWqqKjQ6tWrVV9fL5/Pp8LCQh09etTpcQAAgEslOX2Hjz32mHJycrR27drI2qWXXhr538YYVVZWavny5ZozZ44kad26dcrKylJ1dbUWLlzo9EgAAMCFHC8xmzdv1vTp03XTTTeptrZWn/rUp7Ro0SJ9+9vfliQ1NjaqqalJRUVFkdt4vV5NmTJFdXV1vZaYYDCoYDAYudzW1nbydglGiYnG6QgDxptgov60lRtyuCGD5I4cbsggkSOeuCGD5I4cSWFnZ/cYYxy9x5SUFElSSUmJbrrpJr3++usqLi7WT3/6U82fP191dXWaNGmSDh06JL/fH7ndXXfdpQMHDuill17qcZ+BQEArV67ssV5dXa20tDQnxwcAAP2kvb1d8+bNU2trq4YMGfKR78/xMzHhcFjjx49XWVmZJGns2LFqaGjQU089pfnz50eO83g8UbczxvRY61ZaWqqSkpLI5ba2NuXk5Ojh3Qk6kZzodIQB400wemh8WCt2JCgY7j27DdyQww0ZJHfkcEMGiRzxxA0ZJHfkSAo5+1Jcx0tMdna2PvvZz0atXXHFFfrNb34jSfL5fJKkpqYmZWdnR45pbm5WVlZWr/fp9Xrl9Xp7rAfDHp3osvOBPFUw7FGQHHHBDRkkd+RwQwaJHPHEDRkku3N0OVy+HH930qRJk7R3796otX379mnkyJGSpNzcXPl8PtXU1ESu7+zsVG1trSZOnOj0OAAAwKUcPxNzzz33aOLEiSorK9PcuXP1+uuva82aNVqzZo2kk08jFRcXq6ysTHl5ecrLy1NZWZnS0tI0b948p8cBAAAu5XiJueaaa7Rx40aVlpbqwQcfVG5uriorK3XrrbdGjlm6dKk6Ojq0aNEitbS0aMKECdqyZYvS09OdHgcAALiU4yVGkmbOnKmZM2ee8XqPx6NAIKBAINAffz0AAPgY4LOTAACAlSgxAADASpQYAABgJUoMAACwEiUGAABYiRIDAACsRIkBAABWosQAAAArUWIAAICVKDEAAMBKlBgAAGAlSgwAALASJQYAAFiJEgMAAKxEiQEAAFaixAAAACtRYgAAgJUoMQAAwEqUGAAAYCVKDAAAsBIlBgAAWIkSAwAArESJAQAAVqLEAAAAK1FiAACAlSgxAADASpQYAABgJUoMAACwEiUGAABYiRIDAACsRIkBAABWosQAAAArUWIAAICVKDEAAMBKlBgAAGAlSgwAALASJQYAAFiJEgMAAKxEiQEAAFaixAAAACtRYgAAgJUoMQAAwEqUGAAAYCVKDAAAsBIlBgAAWIkSAwAArESJAQAAVqLEAAAAK1FiAACAlfq9xJSXl8vj8ai4uDiyZoxRIBCQ3+9XamqqCgoK1NDQ0N+jAAAAF+nXElNfX681a9boyiuvjFpftWqVKioqtHr1atXX18vn86mwsFBHjx7tz3EAAICL9FuJOXbsmG699VY988wzuvjiiyPrxhhVVlZq+fLlmjNnjvLz87Vu3Tq1t7erurq6v8YBAAAuk9Rfd7x48WJdf/31mjZtmh5++OHIemNjo5qamlRUVBRZ83q9mjJliurq6rRw4cIe9xUMBhUMBiOX29raTt4uwSgx0fRXhH7nTTBRf9rKDTnckEFyRw43ZJDIEU/ckEFyR46ksLOz90uJeeGFF7Rr1y7V19f3uK6pqUmSlJWVFbWelZWlAwcO9Hp/5eXlWrlyZY/1+8eGlZbW5cDEsfXQ+HCsR3CEG3K4IYPkjhxuyCCRI564IYNkd4729rDmOXh/jpeYDz74QN/73ve0ZcsWpaSknPE4j8cTddkY02OtW2lpqUpKSiKX29ralJOTo4d3J+hEcqIzg8eAN8HoofFhrdiRoGC49+w2cEMON2SQ3JHDDRkkcsQTN2SQ3JEjKeTsq1gcLzE7d+5Uc3Ozxo0bF1nr6urS9u3btXr1au3du1fSyTMy2dnZkWOam5t7nJ3p5vV65fV6e6wHwx6d6LLzgTxVMOxRkBxxwQ0ZJHfkcEMGiRzxxA0ZJLtzdDlcvhx/Ye/UqVP11ltvac+ePZGv8ePH69Zbb9WePXt02WWXyefzqaamJnKbzs5O1dbWauLEiU6PAwAAXMrxMzHp6enKz8+PWhs8eLAyMzMj68XFxSorK1NeXp7y8vJUVlamtLQ0zZvn5DNlAADAzfrt3Ulns3TpUnV0dGjRokVqaWnRhAkTtGXLFqWnp8diHAAAYKEBKTHbtm2LuuzxeBQIBBQIBAbirwcAAC7EZycBAAArUWIAAICVKDEAAMBKlBgAAGAlSgwAALASJQYAAFiJEgMAAKxEiQEAAFaixAAAACtRYgAAgJUoMQAAwEqUGAAAYCVKDAAAsBIlBgAAWIkSAwAArESJAQAAVqLEAAAAK1FiAACAlSgxAADASpQYAABgJUoMAACwEiUGAABYiRIDAACsRIkBAABWosQAAAArUWIAAICVKDEAAMBKlBgAAGAlSgwAALASJQYAAFiJEgMAAKxEiQEAAFaixAAAACtRYgAAgJUoMQAAwEqUGAAAYCVKDAAAsBIlBgAAWIkSAwAArESJAQAAVqLEAAAAK1FiAACAlSgxAADASpQYAABgJUoMAACwEiUGAABYiRIDAACsRIkBAABWosQAAAArOV5iysvLdc011yg9PV3Dhg3TjTfeqL1790YdY4xRIBCQ3+9XamqqCgoK1NDQ4PQoAADAxRwvMbW1tVq8eLFee+011dTU6MSJEyoqKtLx48cjx6xatUoVFRVavXq16uvr5fP5VFhYqKNHjzo9DgAAcKkkp+/wT3/6U9TltWvXatiwYdq5c6e+9KUvyRijyspKLV++XHPmzJEkrVu3TllZWaqurtbChQudHgkAALiQ4yXmdK2trZKkoUOHSpIaGxvV1NSkoqKiyDFer1dTpkxRXV1dryUmGAwqGAxGLre1tZ28XYJRYqLpz/H7lTfBRP1pKzfkcEMGyR053JBBIkc8cUMGyR05ksLOzu4xxvTb/xvGGN1www1qaWnRK6+8Ikmqq6vTpEmTdOjQIfn9/sixd911lw4cOKCXXnqpx/0EAgGtXLmyx3p1dbXS0tL6a3wAAOCg9vZ2zZs3T62trRoyZMhHvr9+PRNz9913680339Srr77a4zqPxxN12RjTY61baWmpSkpKIpfb2tqUk5Ojh3cn6ERyorNDDyBvgtFD48NasSNBwXDv2W3ghhxuyCC5I4cbMkjkiCduyCC5I0dSyNmX4vZbiVmyZIk2b96s7du3a/jw4ZF1n88nSWpqalJ2dnZkvbm5WVlZWb3el9frldfr7bEeDHt0osvOB/JUwbBHQXLEBTdkkNyRww0ZJHLEEzdkkOzO0eVw+XL83UnGGN19993asGGD/vKXvyg3Nzfq+tzcXPl8PtXU1ETWOjs7VVtbq4kTJzo9DgAAcCnHz8QsXrxY1dXV+u1vf6v09HQ1NTVJkjIyMpSamiqPx6Pi4mKVlZUpLy9PeXl5KisrU1pamubNm+f0OAAAwKUcLzFPPfWUJKmgoCBqfe3atfrGN74hSVq6dKk6Ojq0aNEitbS0aMKECdqyZYvS09OdHgcAALiU4yWmL2928ng8CgQCCgQCTv/1AADgY4LPTgIAAFaixAAAACtRYgAAgJUoMQAAwEqUGAAAYCVKDAAAsBIlBgAAWIkSAwAArESJAQAAVqLEAAAAK1FiAACAlSgxAADASpQYAABgJUoMAACwEiUGAABYiRIDAACsRIkBAABWosQAAAArUWIAAICVKDEAAMBKlBgAAGAlSgwAALASJQYAAFiJEgMAAKxEiQEAAFaixAAAACtRYgAAgJUoMQAAwEqUGAAAYCVKDAAAsBIlBgAAWIkSAwAArESJAQAAVqLEAAAAK1FiAACAlSgxAADASpQYAABgJUoMAACwEiUGAABYiRIDAACsRIkBAABWosQAAAArUWIAAICVKDEAAMBKlBgAAGAlSgwAALASJQYAAFiJEgMAAKxEiQEAAFaKaYl58sknlZubq5SUFI0bN06vvPJKLMcBAAAWiVmJ+dWvfqXi4mItX75cu3fv1he/+EXNmDFDBw8ejNVIAADAIjErMRUVFVqwYIG+9a1v6YorrlBlZaVycnL01FNPxWokAABgkaRY/KWdnZ3auXOn7rvvvqj1oqIi1dXV9Tg+GAwqGAxGLre2tkqSkkLH+3fQfpYUNmpvDysplKCusCfW41wwN+RwQwbJHTnckEEiRzxxQwbJHTm6f24bY5y5QxMDhw4dMpLMX//616j1Rx55xFx++eU9jn/ggQeMJL744osvvvjiywVf7733niN9IiZnYrp5PNFN0hjTY02SSktLVVJSErn83//+VyNHjtTBgweVkZHR73P2l7a2NuXk5OiDDz7QkCFDYj3OBXNDDjdkkNyRww0ZJHLEEzdkkNyRo7W1VSNGjNDQoUMdub+YlJhLLrlEiYmJampqilpvbm5WVlZWj+O9Xq+8Xm+P9YyMDGsfyFMNGTKEHHHCDRkkd+RwQwaJHPHEDRkkd+RISHDmJbkxeWHvoEGDNG7cONXU1ESt19TUaOLEibEYCQAAWCZmTyeVlJTo9ttv1/jx43XttddqzZo1OnjwoL7zne/EaiQAAGCRmJWYr3/96/r3v/+tBx98UEeOHFF+fr7++Mc/auTIkee8rdfr1QMPPNDrU0w2IUf8cEMGyR053JBBIkc8cUMGyR05nM7gMcap9zkBAAAMHD47CQAAWIkSAwAArESJAQAAVqLEAAAAK8VtiSkvL9c111yj9PR0DRs2TDfeeKP27t0bdYwxRoFAQH6/X6mpqSooKFBDQ0OMJu5dX3KcauHChfJ4PKqsrBy4IfugLzmOHTumu+++W8OHD1dqaqquuOKKuPpAz6eeekpXXnll5BdFXXvttXrxxRclSaFQSMuWLdOYMWM0ePBg+f1+zZ8/X4cPH47x1D2dLUe3d955R7Nnz1ZGRobS09P1hS98Ia4/Ib68vFwej0fFxcWRNRv29+l6y3GqeN3fp+otQ7zvbUkKBALyeDxRXz6fT5Jd+/tsObrZsL8PHTqk2267TZmZmUpLS9PVV1+tnTt3Rq53an/HbYmpra3V4sWL9dprr6mmpkYnTpxQUVGRjh///w99XLVqlSoqKrR69WrV19fL5/OpsLBQR48ejeHk0fqSo9umTZv097//XX6/PwaTnl1fctxzzz3605/+pPXr1+udd97RPffcoyVLlui3v/1tDCf/f8OHD9ejjz6qHTt2aMeOHfryl7+sG264QQ0NDWpvb9euXbu0YsUK7dq1Sxs2bNC+ffs0e/bsWI/dw9lySNJ7772nyZMna9SoUdq2bZveeOMNrVixQikpKTGevHf19fVas2aNrrzyyqh1G/b3qc6Uo1s87+9uZ8oQ73u72+jRo3XkyJHI11tvvSVJVu1v6cw5JDv2d0tLiyZNmqTk5GS9+OKL+sc//qHHH39cF110UeQYx/a3I5/ANACam5uNJFNbW2uMMSYcDhufz2ceffTRyDH/+9//TEZGhnn66adjNeY5nZ6j24cffmg+9alPmbffftuMHDnSPPHEE7EZsI96yzF69Gjz4IMPRh33uc99ztx///0DPV6fXXzxxeZnP/tZr9e9/vrrRpI5cODAAE91/k7N8fWvf93cdtttMZ6ob44ePWry8vJMTU2NmTJlivne975njLFvf58pRzcb9vfZMtiwtx944AFz1VVX9fn4eN3f58phw/5etmyZmTx58hmvd3J/x+2ZmNO1trZKUuRDoxobG9XU1KSioqLIMV6vV1OmTFFdXV1MZuyL03NIUjgc1u23364f/OAHGj16dKxGOy+95Zg8ebI2b96sQ4cOyRijrVu3at++fZo+fXqsxjyjrq4uvfDCCzp+/LiuvfbaXo9pbW2Vx+OJ+tdDvDk9Rzgc1h/+8Addfvnlmj59uoYNG6YJEyZo06ZNsR61V4sXL9b111+vadOmRa3btr/PlEOyZ3+fLYMte3v//v3y+/3Kzc3VzTffrPfff/+Mx8bz/j5TDlv29+bNmzV+/HjddNNNGjZsmMaOHatnnnkmcr2j+/sCi9aACofDZtasWVHN7q9//auRZA4dOhR17Le//W1TVFQ00CP2SW85jDGmrKzMFBYWmnA4bIwxcfsvtW5nyhEMBs38+fONJJOUlGQGDRpkfv7zn8doyt69+eabZvDgwSYxMdFkZGSYP/zhD70e19HRYcaNG2duvfXWAZ6wb86U48iRI0aSSUtLMxUVFWb37t2mvLzceDwes23bthhPHe2Xv/ylyc/PNx0dHcYYE/Wvf5v299lyGGPH/j5XBhv29h//+Efz61//2rz55puRs0lZWVnmX//6V49j43l/ny2HLfvb6/Uar9drSktLza5du8zTTz9tUlJSzLp164wxzu5vK0rMokWLzMiRI80HH3wQWev+P+Hw4cNRx37rW98y06dPH+gR+6S3HDt27DBZWVlRD2Y8/kfuVL3lMMaYH//4x+byyy83mzdvNm+88Yapqqoyn/jEJ0xNTU2MJu0pGAya/fv3m/r6enPfffeZSy65xDQ0NEQd09nZaW644QYzduxY09raGqNJz+5MOQ4dOmQkmVtuuSXq+FmzZpmbb745RtP2dPDgQTNs2DCzZ8+eyFpvJSbe9/e5ctiwv8+VwRg79vbpjh07ZrKysszjjz8etW7D/j7VqTls2d/Jycnm2muvjVpbsmSJ+cIXvmCMcXZ/x32Jufvuu83w4cPN+++/H7X+3nvvGUlm165dUeuzZ8828+fPH8gR++RMOZ544gnj8XhMYmJi5EuSSUhIMCNHjozNsGdxphzt7e0mOTnZ/P73v49aX7BgQVz90Dnd1KlTzV133RW53NnZaW688UZz5ZVX9vovuHjVnSMYDJqkpCTz0EMPRV2/dOlSM3HixBhN19PGjRuNpB7f99174d1337Vif58rx09+8pO439/nynDs2DEr97YxxkybNs185zvfiVy2dX9357Blf48YMcIsWLAgau3JJ580fr/fGOPsz++YfQDkuRhjtGTJEm3cuFHbtm1Tbm5u1PW5ubny+XyqqanR2LFjJUmdnZ2qra3VY489FouRe3WuHLfffnuP56CnT5+u22+/XXfeeedAjnpW58oRCoUUCoWUkBD9MqvExESFw+GBHPW8GGMUDAYlncwwd+5c7d+/X1u3blVmZmaMp+u77hyDBg3SNddc0+Pt7/v27evTh6sOlKlTp0a940KS7rzzTo0aNUrLli3TZZddZsX+PleO7OzsHq8bibf9fa4MXV1dVu7tYDCod955R1/84hcl2bu/T81hy/6eNGnSWWd09Of3BVetfvbd737XZGRkmG3btpkjR45Evtrb2yPHPProoyYjI8Ns2LDBvPXWW+aWW24x2dnZpq2tLYaTR+tLjtPF2+lmY/qWY8qUKWb06NFm69at5v333zdr1641KSkp5sknn4zh5P+vtLTUbN++3TQ2Npo333zT/PCHPzQJCQlmy5YtJhQKmdmzZ5vhw4ebPXv2RGUMBoOxHj3K2XIYY8yGDRtMcnKyWbNmjdm/f7+pqqoyiYmJ5pVXXonx5Gd3+lMYNuzv3vT27qRTxeP+Pt3pGeJ9bxtjzL333mu2bdtm3n//ffPaa6+ZmTNnmvT0dPPPf/7Tqv19thzG2LG/X3/9dZOUlGQeeeQRs3//fvOLX/zCpKWlmfXr10eOcWp/x22JkdTr19q1ayPHhMNh88ADDxifz2e8Xq/50pe+ZN56663YDd2LvuQ4XTz+R64vOY4cOWK+8Y1vGL/fb1JSUsxnPvMZ8/jjj0de0Bhr3/zmN83IkSPNoEGDzCc/+UkzderUyA/+xsbGM2bcunVrbAc/zdlydHv22WfNpz/9aZOSkmKuuuoqs2nTphhN23en/+C0YX/3xo0lJt73tjEn33qcnZ1tkpOTjd/vN3PmzIm83s2m/X22HN1s2N+/+93vTH5+vvF6vWbUqFFmzZo1Udc7tb89xhhzfuduAAAAYs+a3xMDAABwKkoMAACwEiUGAABYiRIDAACsRIkBAABWosQAAAArUWIAAICVKDEAAMBKlBgAAGAlSgwAALASJQYAAFiJEgMAAKz0fw/9QL1WCIKMAAAAAElFTkSuQmCC",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"N = 1000; a=20; b=60; x=[]\n",
"for i in range(N):\n",
" xi = rnd.randint(a,b)\n",
" x.append(xi)\n",
"plt.hist(x, bins=10)\n",
"plt.xticks(np.arange(20, 64, 4))\n",
"plt.xlim([20, 60])\n",
"plt.grid()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "8b0e0da8",
"metadata": {},
"source": [
"Exercise 3\n",
"\n",
"n = b-a+1\n",
"\n",
"Avr Val = N * 1/n * the width of bins\n",
" = 1000 * 1/41 * 4\n",
" = 97,5609\n"
]
},
{
"cell_type": "code",
"execution_count": 58,
"id": "293cfa3b",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"N = 10; a = 1; b = 10; x =[]\n",
"for i in range(N):\n",
" xi = rnd.randint(a,b)\n",
" x.append(xi)\n",
"plt.hist(x, bins = 10)\n",
"plt.xticks(np.arange(1, 11, 1))\n",
"plt.xlim([1, 10])\n",
"plt.grid()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 59,
"id": "48924265",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"N = 100; a = 1; b = 10; x =[]\n",
"for i in range(N):\n",
" xi = rnd.randint(a,b)\n",
" x.append(xi)\n",
"plt.hist(x, bins = 10)\n",
"plt.xticks(np.arange(1, 11, 1))\n",
"plt.xlim([1, 10])\n",
"plt.grid()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 60,
"id": "2ab876c1",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"N = 1000; a = 1; b = 10; x =[]\n",
"for i in range(N):\n",
" xi = rnd.randint(a,b)\n",
" x.append(xi)\n",
"plt.hist(x, bins = 10)\n",
"plt.xticks(np.arange(1, 11, 1))\n",
"plt.xlim([1, 10])\n",
"plt.grid()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 61,
"id": "9cc8f4ab",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"N = 10000; a = 1; b = 10; x =[]\n",
"for i in range(N):\n",
" xi = rnd.randint(a,b)\n",
" x.append(xi)\n",
"plt.hist(x, bins = 10)\n",
"plt.xticks(np.arange(1, 11, 1))\n",
"plt.xlim([1, 10])\n",
"plt.grid()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 62,
"id": "634f5796",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"N = 100000; a = 1; b = 10; x =[]\n",
"for i in range(N):\n",
" xi = rnd.randint(a,b)\n",
" x.append(xi)\n",
"plt.hist(x, bins = 10)\n",
"plt.xticks(np.arange(1, 11, 1))\n",
"plt.xlim([1, 10])\n",
"plt.grid()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 63,
"id": "87743c52",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"N = 100000; a = 1; b = 10; x =[]\n",
"for i in range(N):\n",
" xi = rnd.randint(a,b)\n",
" x.append(xi)\n",
"plt.hist(x, bins = 10)\n",
"plt.xticks(np.arange(1, 11, 1))\n",
"plt.xlim([1, 10])\n",
"plt.grid()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 78,
"id": "9ba2e59f",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Exercise 4\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"print('Exercise 4')\n",
"\n",
"N = 6000; a = 1; b = 6; x =[]\n",
"for i in range(N):\n",
" xi = rnd.randint(a,b)\n",
" x.append(xi)\n",
"plt.hist(x, bins = 6)\n",
"plt.xticks(np.arange(0,7, 1))\n",
"plt.xlim([1, 6])\n",
"plt.grid()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "218118ec",
"metadata": {},
"source": [
"6000 data points generated randomly between 1 and 6, the number of data points falling into each bin will vary depending on the randomness of the data generation process. However, in an ideal uniform distribution, each bin would contain approximately N/6 = 1000 data points."
]
},
{
"cell_type": "code",
"execution_count": 79,
"id": "73e06d11",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# NO CORRELATION\n",
"#dataset1\n",
"N = 1000; a = 1; b = 10; x =[]\n",
"for i in range(N):\n",
" xi = rnd.randint(a,b)\n",
" x.append(xi)\n",
"plt.hist(x, bins = 10)\n",
"plt.xticks(np.arange(1,11, 1))\n",
"plt.xlim([1, 10])\n",
"plt.grid()\n",
"plt.show()\n"
]
},
{
"cell_type": "code",
"execution_count": 85,
"id": "afb22683",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"#dataset2\n",
"N = 1000; a = 1; b = 10; y =[]\n",
"for i in range(N):\n",
" yi = rnd.randint(a,b)\n",
" y.append(yi)\n",
"plt.hist(y, bins = 10, color='tab:red')\n",
"plt.xticks(np.arange(1,11, 1))\n",
"plt.xlim([1, 10])\n",
"plt.grid()\n",
"plt.show()\n"
]
},
{
"cell_type": "code",
"execution_count": 86,
"id": "067fa018",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"[[1. 0.00697904]\n",
" [0.00697904 1. ]]\n"
]
}
],
"source": [
"import numpy as np\n",
"plt.scatter(x,y)\n",
"plt.show()\n",
"\n",
"cc = np.corrcoef(x,y)\n",
"print(cc)"
]
},
{
"cell_type": "code",
"execution_count": 87,
"id": "78c9a354",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Negative Correlation\n",
"#dataset1\n",
"N = 1000; a = 1; b = 10; x =[]\n",
"for i in range(N):\n",
" xi = rnd.randint(a,b)\n",
" x.append(xi)\n",
"plt.hist(x, bins = 10)\n",
"plt.xticks(np.arange(1,11, 1))\n",
"plt.xlim([1, 10])\n",
"plt.grid()\n",
"plt.show()\n"
]
},
{
"cell_type": "code",
"execution_count": 88,
"id": "f2e554f5",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"y = [11-i for i in x]\n",
"plt.hist(y, bins = 10, color='tab:red')\n",
"plt.xticks(np.arange(1,11, 1))\n",
"plt.xlim([1, 10])\n",
"plt.grid()\n",
"plt.show()\n"
]
},
{
"cell_type": "code",
"execution_count": 90,
"id": "78e411d5",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[[ 1. -1.]\n",
" [-1. 1.]]\n"
]
},
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.scatter(x,y)\n",
"plt.show\n",
"\n",
"cc = np.corrcoef(x,y)\n",
"print(cc)"
]
},
{
"cell_type": "code",
"execution_count": 94,
"id": "a5c09d32",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"#Positive Correlation\n",
"#dataset1\n",
"N = 1000; a = 1; b = 10; x =[]\n",
"for i in range(N):\n",
" xi = rnd.randint(a,b)\n",
" x.append(xi)\n",
"plt.hist(x, bins = 10)\n",
"plt.xticks(np.arange(1,11, 1))\n",
"plt.xlim([1, 10])\n",
"plt.grid()\n",
"plt.show()\n"
]
},
{
"cell_type": "code",
"execution_count": 95,
"id": "8e9c06a6",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"#dataset2\n",
"y = [i for i in x]\n",
"plt.hist(y, bins = 10, color='tab:red')\n",
"plt.xticks(np.arange(1,11, 1))\n",
"plt.xlim([1, 10])\n",
"plt.grid()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 96,
"id": "b6a4d8ea",
"metadata": {},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAh8AAAGdCAYAAACyzRGfAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjcuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/bCgiHAAAACXBIWXMAAA9hAAAPYQGoP6dpAAAY1UlEQVR4nO3db2yV9d348U8BPYJp6ySjpaEKJmYo+G9itgBRlyl3YkfG4lz8l6F74rKiVO44yubmnw0KbjKXNdNgFudGUB9MHPvxM5PoAmNIrLiq0wVitNjozfCBd09BUwOc+wGurPzrqT3ne057Xq/kPDjXueR8khNz3vl+r3O1KpfL5QIAIJExpR4AAKgs4gMASEp8AABJiQ8AICnxAQAkJT4AgKTEBwCQlPgAAJIaV+oBjnbo0KF4//33o7q6Oqqqqko9DgCQh1wuF729vdHQ0BBjxpx8baPs4uP999+PxsbGUo8BAHwG3d3dMWXKlJOeU3bxUV1dHRGHh6+pqSnxNABAPrLZbDQ2NvZ/j59M2cXHv7daampqxAcAjDD5XDLhglMAICnxAQAkJT4AgKTEBwCQlPgAAJISHwBAUuIDAEhKfAAASZXdTcYAgOK4onVj7P6P52dHxOaVTcnnGPLKx5YtW2L+/PnR0NAQVVVV8cwzzwx4PZfLxb333hsNDQ0xfvz4uPLKK+ONN94o1LwAwGcw9ajwiIjY/enx1IYcH/v374+LLroo2tvbj/v6Aw88EKtXr4729vbo6OiI+vr6uPrqq6O3t3fYwwIAQzdYYKQOkKpcLpf7zP9xVVWsX78+FixYEBGHVz0aGhqipaUlli5dGhERfX19UVdXF6tWrYrbbrtt0H8zm81GbW1t9PT0+NsuADBMR2+1nMhwt2CG8v1d0AtO33nnndizZ0/Mmzev/1gmk4krrrgitm3bdtz/pq+vL7LZ7IAHAFAY+YTHUM4rhILGx549eyIioq6ubsDxurq6/teO1tbWFrW1tf2PxsbGQo4EAJSZovzU9ug/p5vL5U74J3aXLVsWPT09/Y/u7u5ijAQAlImC/tS2vr4+Ig6vgEyePLn/+N69e49ZDfm3TCYTmUymkGMAAJ86O/LbUjm72IP8h4KufEybNi3q6+tj06ZN/cc++eST2Lx5c8yePbuQbwUA5CHfi0hT3u9jyPGxb9++6OzsjM7Ozog4fJFpZ2dnvPvuu1FVVRUtLS2xYsWKWL9+ffzjH/+IW265JSZMmBA33nhjoWcHAPLQNUhYDPZ6oQ152+Xll1+Or3zlK/3PlyxZEhERCxcujN/+9rfx/e9/Pz7++OP43ve+Fx9++GF86Utfiueeey6qq6sLNzUAMCRdK5vK5g6nw7rPRzG4zwcAjDwlu88HAMBgxAcAkJT4AACSEh8AQFLiAwBISnwAAEmJDwAgKfEBACQlPgCApMQHAJCU+AAAkhIfAEBS4gMASEp8AABJiQ8AICnxAQAkJT4AgKTEBwCQlPgAAJISHwBAUuIDAEhKfAAASYkPACAp8QEAJCU+AICkxAcAkNS4Ug8AAOXu2pUbY8f/Hnl+6RkRf2htKtU4I56VDwA4iamtA8MjImLH/x4+zmcjPgDgBAYLDAHy2YgPADiOa1fmFxb5nscR4gMAjuPorZbhnscR4gMASEp8AABJiQ8AOI5LzyjseRwhPgDgOPK9j4f7fQyd+ACAE+haefKwGOx1jk98AMBJdK1sOmZr5dIzhMdwuL06AAzC1kphWfkAAJISHwBAUuIDAEhKfAAASYkPACAp8QEAJCU+AICkxAcAkJT4AACSEh8AQFLiAwBISnwAAEmJDwAgKfEBACQlPgCApMQHAJCU+AAAkhIfAEBS4gMASEp8AABJiQ8AICnxAQAkJT4AgKTEBwCQlPgAAJIaV+oBABi9ZrRujP3/8fz0iHhjZVOpxqFMFHzl48CBA3H33XfHtGnTYvz48XHOOefE/fffH4cOHSr0WwFQxqYeFR4REfs/PU5lK/jKx6pVq+KRRx6Jxx9/PGbMmBEvv/xy3HrrrVFbWxuLFy8u9NsBUIYGC4yprRujywpIxSr4yseLL74YX//616OpqSmmTp0a3/zmN2PevHnx8ssvF/qtAChDM/Jc2cj3PEafgsfH3Llz4/nnn49du3ZFRMSrr74aW7dujWuuuea45/f19UU2mx3wAGDkOnqrZbjnMfoUfNtl6dKl0dPTE9OnT4+xY8fGwYMHY/ny5XHDDTcc9/y2tra47777Cj0GAFCmCr7y8dRTT8XatWtj3bp18corr8Tjjz8eP//5z+Pxxx8/7vnLli2Lnp6e/kd3d3ehRwIAykjBVz7uuuuuaG1tjeuvvz4iIi644ILYvXt3tLW1xcKFC485P5PJRCaTKfQYAJTI6ZHflsrpxR6EslXwlY+PPvooxowZ+M+OHTvWT20BKkS+9/Fwv4/KVfD4mD9/fixfvjw2btwYXV1dsX79+li9enV84xvfKPRbAVCmBvsZrZ/ZVraqXC6XK+Q/2NvbGz/60Y9i/fr1sXfv3mhoaIgbbrghfvzjH8epp5466H+fzWajtrY2enp6oqamppCjAZCYO5xWjqF8fxc8PoZLfADAyDOU729/WA4ASEp8AABJiQ8AICnxAQAkJT4AgKTEBwCQlPgAAJISHwBAUuIDAEhKfAAASYkPACAp8QEAJCU+AICkxAcAkJT4AACSEh8AQFLiAwBISnwAAEmJDwAgKfEBACQlPgCApMQHAJCU+AAAkhIfAEBS4gMASGpcqQcA4Fg3/mJjbPvXkeez6yLW3dlUuoGggKx8AJSZqa0DwyMiYtu/Dh+H0UB8AJSRwQJDgDAaiA+AMnHjL/ILi3zPg3IlPgDKxNFbLcM9D8qV+AAAkhIfAEBS4gOgTMyuK+x5UK7EB0CZyPc+Hu73wUgnPgDKSNfKk4fFYK/DSCA+AMpM18qmY7ZWZtcJD0YPt1cHKEO2VhjNrHwAAEmJDwAgKfEBACQlPgCApMQHAJCU+AAAkhIfAEBS4gMASEp8AABJiQ8AICnxAQAkJT4AgKTEBwCQlPgAAJISHwBAUuIDAEhKfAAASYkPACAp8QEAJCU+AICkxAcAkJT4AACSEh8AQFLiAwBISnwAAEmJDwAgqXGlHgCgkG7+5cbY+j9Hns+dHLF2cVPpBgKOUZSVj/feey9uvvnmmDhxYkyYMCEuvvji2LFjRzHeCqDf1NaB4RERsfV/Dh8HykfB4+PDDz+MOXPmxCmnnBLPPvtsvPnmm/Hggw/GGWecUei3Aug3WGAIECgfBd92WbVqVTQ2NsZjjz3Wf2zq1KmFfhuAfjf/Mr+wuPmXG23BQBko+MrHhg0bYtasWXHdddfFpEmT4pJLLolHH330hOf39fVFNpsd8AAYiqO3WoZ7HlBcBY+Pt99+Ox5++OE499xz489//nN897vfjTvuuCN+97vfHff8tra2qK2t7X80NjYWeiQAoIxU5XK5XCH/wVNPPTVmzZoV27Zt6z92xx13REdHR7z44ovHnN/X1xd9fX39z7PZbDQ2NkZPT0/U1NQUcjRglBrK9RxdK227QDFks9mora3N6/u74CsfkydPjvPPP3/AsfPOOy/efffd456fyWSipqZmwANgKOZOLux5QHEVPD7mzJkTO3fuHHBs165dcfbZZxf6rQAiIv/7eLjYFMpDwePjzjvvjO3bt8eKFSvirbfeinXr1sWaNWuiubm50G8F0G+w7RTbLVA+Ch4fl112Waxfvz6eeOKJmDlzZvzkJz+Jhx56KG666aZCvxXAAF0rm47ZWpk7WXhAuSn4BafDNZQLVgCA8lDSC04BAE5GfAAASYkPACAp8QEAJCU+AICkxAcAkJT4AACSEh8AQFLiAwBISnwAAEmJDwAgKfEBACQlPgCApMQHAJCU+AAAkhIfAEBS4gMASEp8AABJiQ8AICnxAQAkJT4AgKTEBwCQlPgAAJISHwBAUuIDAEhqXKkHAErvmns2xpt9R56fn4n4//c1lW4gYFSz8gEVbmrrwPCIiHiz7/BxgGIQH1DBBgsMAQIUg/iACnXNPfmFRb7nAeRLfECFOnqrZbjnAeRLfAAASYkPACAp8QEV6vxMYc8DyJf4gAqV73083O8DKDTxARWsa+XJw2Kw1wE+C/EBFa5rZdMxWyvnZ4QHUDxurw7YWgGSsvIBACQlPgCApMQHAJCU+AAAkhIfAEBS4gMASEp8AABJiQ8AICnxAQAkJT4AgKTEBwCQlPgAAJISHwBAUuIDAEhKfAAASYkPACAp8QEAJCU+AICkxAcAkJT4AACSEh8AQFLiAwBISnwAAEmJDwAgKfEBACQ1rtQDwEh24y82xrZ/HXk+uy5i3Z1NpRsIYAQo+spHW1tbVFVVRUtLS7HfCpKa2jowPCIitv3r8HEATqyo8dHR0RFr1qyJCy+8sJhvA8kNFhgCBODEihYf+/bti5tuuikeffTR+NznPlest4HkbvxFfmGR73kAlaZo8dHc3BxNTU1x1VVXnfS8vr6+yGazAx5Qzo7eahnueQCVpigXnD755JPxyiuvREdHx6DntrW1xX333VeMMQCAMlTwlY/u7u5YvHhxrF27Nk477bRBz1+2bFn09PT0P7q7uws9EgBQRgq+8rFjx47Yu3dvXHrppf3HDh48GFu2bIn29vbo6+uLsWPH9r+WyWQik8kUegwomtl1+W2pzK4r/iwAI1FVLpfLFfIf7O3tjd27dw84duutt8b06dNj6dKlMXPmzJP+99lsNmpra6OnpydqamoKORoUTD6/Zula6X4fQOUYyvd3wVc+qqurjwmM008/PSZOnDhoeMBI0bWy6aQBIjwATszt1eEz6lrZdMzWyuw64QEwmIJvuwyXbRcAGHmG8v1t5QMASEp8AABJiQ8AICnxAQAkJT4AgKTEBwCQlPgAAJISHwBAUuIDAEhKfAAASYkPACAp8QEAJCU+AICkxAcAkJT4AACSEh8AQFLiAwBISnwAAEmJDwAgKfEBACQlPgCApMQHAJCU+AAAkhIfAEBS4gMASEp8AABJjSv1AFSm6x/cGNs/OPL8y5+PePK/m0o3EADJWPkguamtA8MjImL7B4ePAzD6iQ+SGiwwBAjA6Cc+SOb6B/MLi3zPA2BkEh8kc/RWy3DPA2BkEh8AQFLiAwBISnyQzJc/X9jzABiZxAfJ5HsfD/f7ABjdxAdJda08eVgM9joAI5/4ILmulU3HbK18+fPCA6BSuL06JWFrBaByWfkAAJISHwBAUuIDAEhKfAAASYkPACAp8QEAJCU+AICkxAcAkJT4AACSEh8AQFLiAwBISnwAAEmJDwAgKfEBACQlPgCApMQHAJCU+AAAkhIfAEBS4gMASEp8AABJiQ8AICnxAQAkJT4AgKTEBwCQlPgAAJIaV+oBGJqv3bcx/vHxkeczx0f8v3uaSjcQAAxRwVc+2tra4rLLLovq6uqYNGlSLFiwIHbu3Fnot6lIU1sHhkdExD8+PnwcAEaKgsfH5s2bo7m5ObZv3x6bNm2KAwcOxLx582L//v2FfquKMlhgCBAARoqqXC6XK+YbfPDBBzFp0qTYvHlzXH755YOen81mo7a2Nnp6eqKmpqaYo40YR2+1nIgtGABKZSjf30W/5qOnpyciIs4888zjvt7X1xd9fX39z7PZbLFHGnHyCY+hnAcApVTUX7vkcrlYsmRJzJ07N2bOnHncc9ra2qK2trb/0djYWMyRAIASK2p8LFq0KF577bV44oknTnjOsmXLoqenp//R3d1dzJEAgBIr2rbL7bffHhs2bIgtW7bElClTTnheJpOJTCZTrDFGhZnj89tSmTm++LMAwHAVfOUjl8vFokWL4umnn44XXnghpk2bVui3qDj5XkTqYlMARoKCx0dzc3OsXbs21q1bF9XV1bFnz57Ys2dPfPyxqyGHo2vlycNisNcBoFwU/Ke2VVVVxz3+2GOPxS233DLof++ntifnDqcAlKOS/tS2yLcNqXhCA4CRzh+WAwCSEh8AQFLiAwBISnwAAEmJDwAgKfEBACQlPgCApMQHAJCU+AAAkhIfAEBS4gMASEp8AABJiQ8AICnxAQAkJT4AgKTEBwCQlPgAAJISHwBAUuIDAEhKfAAASYkPACAp8QEAJCU+AICkxAcAkJT4AACSGlfqAVL5r7s3xs4DR55/YVzEn3/aVLqBAKBCVcTKx9TWgeEREbHzwOHjAEBaoz4+BgsMAQIAaY3q+Pivu/MLi3zPAwCGb1THx9FbLcM9DwAYvlEdHwBA+REfAEBSozo+vpDnD4nzPQ8AGL5RHR/53sfD/T4AIJ1RHR8REV0rTx4Wg70OABTWqI+PiMOBcfTWyhfGCQ8AKIWKudrB1goAlIeKWPkAAMqH+AAAkhIfAEBS4gMASEp8AABJiQ8AICnxAQAkJT4AgKTEBwCQVNnd4TSXy0VERDabLfEkAEC+/v29/e/v8ZMpu/jo7e2NiIjGxsYSTwIADFVvb2/U1tae9JyqXD6JktChQ4fi/fffj+rq6qiqqir1OGUpm81GY2NjdHd3R01NTanHqXg+j/LjMykvPo/yUqzPI5fLRW9vbzQ0NMSYMSe/qqPsVj7GjBkTU6ZMKfUYI0JNTY3/kcuIz6P8+EzKi8+jvBTj8xhsxePfXHAKACQlPgCApMTHCJTJZOKee+6JTCZT6lEIn0c58pmUF59HeSmHz6PsLjgFAEY3Kx8AQFLiAwBISnwAAEmJDwAgKfExgrS1tcVll10W1dXVMWnSpFiwYEHs3Lmz1GPxqba2tqiqqoqWlpZSj1Kx3nvvvbj55ptj4sSJMWHChLj44otjx44dpR6rIh04cCDuvvvumDZtWowfPz7OOeecuP/+++PQoUOlHq1ibNmyJebPnx8NDQ1RVVUVzzzzzIDXc7lc3HvvvdHQ0BDjx4+PK6+8Mt54440ks4mPEWTz5s3R3Nwc27dvj02bNsWBAwdi3rx5sX///lKPVvE6OjpizZo1ceGFF5Z6lIr14Ycfxpw5c+KUU06JZ599Nt5888148MEH44wzzij1aBVp1apV8cgjj0R7e3v885//jAceeCB+9rOfxa9+9atSj1Yx9u/fHxdddFG0t7cf9/UHHnggVq9eHe3t7dHR0RH19fVx9dVX9/+NtWLyU9sR7IMPPohJkybF5s2b4/LLLy/1OBVr37598cUvfjF+/etfx09/+tO4+OKL46GHHir1WBWntbU1/va3v8Vf//rXUo9CRHzta1+Lurq6+M1vftN/7Nprr40JEybE73//+xJOVpmqqqpi/fr1sWDBgog4vOrR0NAQLS0tsXTp0oiI6Ovri7q6uli1alXcdtttRZ3HyscI1tPTExERZ555ZoknqWzNzc3R1NQUV111ValHqWgbNmyIWbNmxXXXXReTJk2KSy65JB599NFSj1Wx5s6dG88//3zs2rUrIiJeffXV2Lp1a1xzzTUlnoyIiHfeeSf27NkT8+bN6z+WyWTiiiuuiG3bthX9/cvuD8uRn1wuF0uWLIm5c+fGzJkzSz1OxXryySfjlVdeiY6OjlKPUvHefvvtePjhh2PJkiXxgx/8IF566aW44447IpPJxLe//e1Sj1dxli5dGj09PTF9+vQYO3ZsHDx4MJYvXx433HBDqUcjIvbs2RMREXV1dQOO19XVxe7du4v+/uJjhFq0aFG89tprsXXr1lKPUrG6u7tj8eLF8dxzz8Vpp51W6nEq3qFDh2LWrFmxYsWKiIi45JJL4o033oiHH35YfJTAU089FWvXro1169bFjBkzorOzM1paWqKhoSEWLlxY6vH4VFVV1YDnuVzumGPFID5GoNtvvz02bNgQW7ZsiSlTppR6nIq1Y8eO2Lt3b1x66aX9xw4ePBhbtmyJ9vb26Ovri7Fjx5ZwwsoyefLkOP/88wccO++88+IPf/hDiSaqbHfddVe0trbG9ddfHxERF1xwQezevTva2trERxmor6+PiMMrIJMnT+4/vnfv3mNWQ4rBNR8jSC6Xi0WLFsXTTz8dL7zwQkybNq3UI1W0r371q/H6669HZ2dn/2PWrFlx0003RWdnp/BIbM6cOcf89HzXrl1x9tlnl2iiyvbRRx/FmDEDv2LGjh3rp7ZlYtq0aVFfXx+bNm3qP/bJJ5/E5s2bY/bs2UV/fysfI0hzc3OsW7cu/vjHP0Z1dXX/nl1tbW2MHz++xNNVnurq6mOutzn99NNj4sSJrsMpgTvvvDNmz54dK1asiG9961vx0ksvxZo1a2LNmjWlHq0izZ8/P5YvXx5nnXVWzJgxI/7+97/H6tWr4zvf+U6pR6sY+/bti7feeqv/+TvvvBOdnZ1x5plnxllnnRUtLS2xYsWKOPfcc+Pcc8+NFStWxIQJE+LGG28s/nA5RoyIOO7jscceK/VofOqKK67ILV68uNRjVKw//elPuZkzZ+YymUxu+vTpuTVr1pR6pIqVzWZzixcvzp111lm50047LXfOOefkfvjDH+b6+vpKPVrF+Mtf/nLc74yFCxfmcrlc7tChQ7l77rknV19fn8tkMrnLL7889/rrryeZzX0+AICkXPMBACQlPgCApMQHAJCU+AAAkhIfAEBS4gMASEp8AABJiQ8AICnxAQAkJT4AgKTEBwCQlPgAAJL6P+WpSI7NL57VAAAAAElFTkSuQmCC",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"[[1. 1.]\n",
" [1. 1.]]\n"
]
}
],
"source": [
"plt.scatter(x,y)\n",
"plt.show()\n",
"\n",
"cc = np.corrcoef(x,y)\n",
"print(cc)"
]
},
{
"cell_type": "code",
"execution_count": 98,
"id": "27344041",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"[[1. 0.96294507]\n",
" [0.96294507 1. ]]\n"
]
}
],
"source": [
"N = 1000; a = 1; b = 10; x =[]\n",
"for i in range(N):\n",
" xi = rnd.randint(a,b)\n",
" x.append(xi)\n",
" \n",
"y = [rnd.randint(-1,1)+ i for i in x]\n",
"\n",
"plt.scatter(x,y)\n",
"plt.show()\n",
"\n",
"cc = np.corrcoef(x,y)\n",
"print(cc)"
]
},
{
"cell_type": "code",
"execution_count": 99,
"id": "f568c407",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"[[1. 0.90479943]\n",
" [0.90479943 1. ]]\n"
]
}
],
"source": [
"N = 1000; a = 1; b = 10; x =[]\n",
"for i in range(N):\n",
" xi = rnd.randint(a,b)\n",
" x.append(xi)\n",
" \n",
"y = [rnd.randint(-2,2)+ i for i in x]\n",
"\n",
"plt.scatter(x,y)\n",
"plt.show()\n",
"\n",
"cc = np.corrcoef(x,y)\n",
"print(cc)"
]
},
{
"cell_type": "code",
"execution_count": 100,
"id": "cb5b5164",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"[[1. 0.82037423]\n",
" [0.82037423 1. ]]\n"
]
}
],
"source": [
"N = 1000; a = 1; b = 10; x =[]\n",
"for i in range(N):\n",
" xi = rnd.randint(a,b)\n",
" x.append(xi)\n",
" \n",
"y = [rnd.randint(-3,3)+ i for i in x]\n",
"\n",
"plt.scatter(x,y)\n",
"plt.show()\n",
"\n",
"cc = np.corrcoef(x,y)\n",
"print(cc)"
]
},
{
"cell_type": "code",
"execution_count": 101,
"id": "4b0fb0e3",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"[[1. 0.74543912]\n",
" [0.74543912 1. ]]\n"
]
}
],
"source": [
"N = 1000; a = 1; b = 10; x =[]\n",
"for i in range(N):\n",
" xi = rnd.randint(a,b)\n",
" x.append(xi)\n",
" \n",
"y = [rnd.randint(-4,4)+ i for i in x]\n",
"\n",
"plt.scatter(x,y)\n",
"plt.show()\n",
"\n",
"cc = np.corrcoef(x,y)\n",
"print(cc)"
]
},
{
"cell_type": "code",
"execution_count": 102,
"id": "07334fc1",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"[[1. 0.6751166]\n",
" [0.6751166 1. ]]\n"
]
}
],
"source": [
"N = 1000; a = 1; b = 10; x =[]\n",
"for i in range(N):\n",
" xi = rnd.randint(a,b)\n",
" x.append(xi)\n",
" \n",
"y = [rnd.randint(-5,5)+ i for i in x]\n",
"\n",
"plt.scatter(x,y)\n",
"plt.show()\n",
"\n",
"cc = np.corrcoef(x,y)\n",
"print(cc)"
]
},
{
"cell_type": "code",
"execution_count": 109,
"id": "04f5664c",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# NORMAL DISTRIBUTION\n",
"#with mean mu and variance si\n",
"\n",
"mu = 100\n",
"si = 5\n",
"N = 100000\n",
"values = np.random.normal(mu, si, N)\n",
"\n",
"plt.hist(values, 10)\n",
"plt.axvline(values.mean(), color='r')\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 110,
"id": "ad21c9fd",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# NORMAL DISTRIBUTION\n",
"#with mean mu and variance si\n",
"\n",
"mu = 100\n",
"si = 5\n",
"N = 100000\n",
"values = np.random.normal(mu, si, N)\n",
"\n",
"plt.hist(values, 50)\n",
"plt.axvline(values.mean(), color='r')\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 111,
"id": "3d29b823",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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Fi1RQUHDBTyYBAIDoF1GIOX78uHw+nxobG2VZlq6//nr5/X5Nnz5dkvTwww+ro6ND999/v5qbm5WTk6Pt27crISHBOce6des0bNgwzZ07Vx0dHZo2bZo2btyomJgYp2bLli1aunSp8xRTYWGhysrK+uN6AQBAlLjodWKGKtaJAYaGy2WdmAvBnBjg/C7JOjEAAACDiRADAACMFPEj1gBwNoN16wjA5YmRGAAAYCRCDAAAMBIhBgAAGIkQAwAAjESIAQAARiLEAAAAI/GINQBcImd6BJ1VfIG+YyQGAAAYiRADAACMRIgBAABGIsQAAAAjEWIAAICReDoJQJ/xwkcAg4mRGAAAYCRCDAAAMBIhBgAAGIkQAwAAjESIAQAARiLEAAAAIxFiAACAkQgxAADASIQYAABgJEIMAAAwEq8dAIBB1PPVDUdW3zJILQHMw0gMAAAwEiEGAAAYiRADAACMRIgBAABGIsQAAAAjEWIAAICRCDEAAMBIhBgAAGCkiEJMaWmpvvOd7yghIUGpqam67bbbdOjQobCau+++Wy6XK+wzadKksJpQKKQlS5YoJSVF8fHxKiws1LFjx8Jqmpub5fP5ZFmWLMuSz+dTS0tL364SAABEnYhCTFVVlRYvXqyamhpVVlbqyy+/VH5+vk6ePBlWN3PmTDU2Njqfbdu2hR0vLi5WRUWFysvLtXPnTrW3t6ugoEDd3d1OTVFRkerr6+X3++X3+1VfXy+fz3cRlwoAAKJJRK8d8Pv9Ydsvv/yyUlNTVVdXp+9///vOfrfbLY/Hc8ZzBINBvfTSS9q0aZPy8vIkSZs3b1ZGRoZ27NihGTNm6ODBg/L7/aqpqVFOTo4k6cUXX1Rubq4OHTqkcePGRXSRAAAg+lzUnJhgMChJSkpKCtv/7rvvKjU1Vddcc40WLlyopqYm51hdXZ26urqUn5/v7PN6vcrKylJ1dbUkadeuXbIsywkwkjRp0iRZluXUAACAy1ufXwBp27aWLVumG2+8UVlZWc7+WbNm6R//8R81ZswYNTQ06Ec/+pFuvvlm1dXVye12KxAIKDY2VqNGjQo7X1pamgKBgCQpEAgoNTW11+9MTU11anoKhUIKhULOdmtra18vDcAZ9HxRIQAMtj6HmAceeEB/+MMftHPnzrD98+bNc37OysrSxIkTNWbMGL355puaM2fOWc9n27ZcLpez/c2fz1bzTaWlpXryyScjvQwAAGCoPt1OWrJkiX7zm9/onXfe0VVXXXXO2vT0dI0ZM0aHDx+WJHk8HnV2dqq5uTmsrqmpSWlpaU7N8ePHe53rxIkTTk1PK1euVDAYdD5Hjx7ty6UBAABDRBRibNvWAw88oNdff11vv/22xo4de97vfPbZZzp69KjS09MlSRMmTNDw4cNVWVnp1DQ2Nmr//v2aPHmyJCk3N1fBYFB79uxxanbv3q1gMOjU9OR2u5WYmBj2AQAA0Sui20mLFy/Wa6+9pl//+tdKSEhw5qdYlqW4uDi1t7dr1apVuuOOO5Senq4jR47oscceU0pKim6//XandsGCBVq+fLmSk5OVlJSkFStWKDs723laafz48Zo5c6YWLlyoDRs2SJIWLVqkgoICnkwCAACSIgwx69evlyRNnTo1bP/LL7+su+++WzExMdq3b59effVVtbS0KD09XTfddJO2bt2qhIQEp37dunUaNmyY5s6dq46ODk2bNk0bN25UTEyMU7NlyxYtXbrUeYqpsLBQZWVlfb1OAAAQZSIKMbZtn/N4XFyc3nrrrfOeZ8SIEXruuef03HPPnbUmKSlJmzdvjqR5AADgMsK7kwAAgJEIMQAAwEiEGAAAYCRCDAAAMBIhBgAAGIkQAwAAjNTndycBiG688BHAUMdIDAAAMBIhBgAAGIkQAwAAjESIAQAARiLEAAAAIxFiAACAkXjEGgCGkDM92n5k9S2D0BJg6GMkBgAAGIkQAwAAjESIAQAARiLEAAAAIxFiAACAkQgxAADASIQYAABgJEIMAAAwEiEGAAAYiRADAACMRIgBAABGIsQAAAAjEWIAAICRCDEAAMBIhBgAAGAkQgwAADASIQYAABhp2GA3AMDg+6tH3xzsJgBAxAgxADDE9QyZR1bfMkgtAYYWbicBAAAjEWIAAICRCDEAAMBIEYWY0tJSfec731FCQoJSU1N122236dChQ2E1tm1r1apV8nq9iouL09SpU3XgwIGwmlAopCVLliglJUXx8fEqLCzUsWPHwmqam5vl8/lkWZYsy5LP51NLS0vfrhIAAESdiEJMVVWVFi9erJqaGlVWVurLL79Ufn6+Tp486dSsWbNGa9euVVlZmWpra+XxeDR9+nS1tbU5NcXFxaqoqFB5ebl27typ9vZ2FRQUqLu726kpKipSfX29/H6//H6/6uvr5fP5+uGSAQBANHDZtm339csnTpxQamqqqqqq9P3vf1+2bcvr9aq4uFiPPPKIpK9GXdLS0vT000/r3nvvVTAY1JVXXqlNmzZp3rx5kqRPP/1UGRkZ2rZtm2bMmKGDBw/q2muvVU1NjXJyciRJNTU1ys3N1QcffKBx48adt22tra2yLEvBYFCJiYl9vUTgshCNj1jHdZ7SwXV3SpLGP/RLdcSOGOQW9R+eTkI0i+Tv90XNiQkGg5KkpKQkSVJDQ4MCgYDy8/OdGrfbrSlTpqi6ulqSVFdXp66urrAar9errKwsp2bXrl2yLMsJMJI0adIkWZbl1PQUCoXU2toa9gEAANGrzyHGtm0tW7ZMN954o7KysiRJgUBAkpSWlhZWm5aW5hwLBAKKjY3VqFGjzlmTmpra63empqY6NT2VlpY682csy1JGRkZfLw0AABigzyHmgQce0B/+8Af94he/6HXM5XKFbdu23WtfTz1rzlR/rvOsXLlSwWDQ+Rw9evRCLgMAABiqTyFmyZIl+s1vfqN33nlHV111lbPf4/FIUq/RkqamJmd0xuPxqLOzU83NzeesOX78eK/fe+LEiV6jPF9zu91KTEwM+wAAgOgVUYixbVsPPPCAXn/9db399tsaO3Zs2PGxY8fK4/GosrLS2dfZ2amqqipNnjxZkjRhwgQNHz48rKaxsVH79+93anJzcxUMBrVnzx6nZvfu3QoGg04NAAC4vEX07qTFixfrtdde069//WslJCQ4Iy6WZSkuLk4ul0vFxcUqKSlRZmamMjMzVVJSopEjR6qoqMipXbBggZYvX67k5GQlJSVpxYoVys7OVl5eniRp/PjxmjlzphYuXKgNGzZIkhYtWqSCgoILejIJAABEv4hCzPr16yVJU6dODdv/8ssv6+6775YkPfzww+ro6ND999+v5uZm5eTkaPv27UpISHDq161bp2HDhmnu3Lnq6OjQtGnTtHHjRsXExDg1W7Zs0dKlS52nmAoLC1VWVtaXawQAAFHootaJGcpYJwa4cKwTYxbWiUE0u2TrxAAAAAwWQgwAADASIQYAABiJEAMAAIwU0dNJAIDBd6aJ2Ez2xeWIkRgAAGAkQgwAADASIQYAABiJEAMAAIxEiAEAAEYixAAAACMRYgAAgJFYJwa4DEXjCx8BXH4YiQEAAEYixAAAACMRYgAAgJGYEwMAUaDnPCfepYTLASMxAADASIQYAABgJEIMAAAwEiEGAAAYiRADAACMRIgBAABGIsQAAAAjEWIAAICRWOwOiHK87BFAtGIkBgAAGIkQAwAAjESIAQAARiLEAAAAIxFiAACAkQgxAADASIQYAABgJEIMAAAwEiEGAAAYKeIQ895772n27Nnyer1yuVx64403wo7ffffdcrlcYZ9JkyaF1YRCIS1ZskQpKSmKj49XYWGhjh07FlbT3Nwsn88ny7JkWZZ8Pp9aWloivkAAABCdIg4xJ0+e1A033KCysrKz1sycOVONjY3OZ9u2bWHHi4uLVVFRofLycu3cuVPt7e0qKChQd3e3U1NUVKT6+nr5/X75/X7V19fL5/NF2lwAABClIn530qxZszRr1qxz1rjdbnk8njMeCwaDeumll7Rp0ybl5eVJkjZv3qyMjAzt2LFDM2bM0MGDB+X3+1VTU6OcnBxJ0osvvqjc3FwdOnRI48aNi7TZAAAgygzInJh3331Xqampuuaaa7Rw4UI1NTU5x+rq6tTV1aX8/Hxnn9frVVZWlqqrqyVJu3btkmVZToCRpEmTJsmyLKemp1AopNbW1rAPAACIXv0eYmbNmqUtW7bo7bff1k9/+lPV1tbq5ptvVigUkiQFAgHFxsZq1KhRYd9LS0tTIBBwalJTU3udOzU11anpqbS01Jk/Y1mWMjIy+vnKAADAUBLx7aTzmTdvnvNzVlaWJk6cqDFjxujNN9/UnDlzzvo927blcrmc7W/+fLaab1q5cqWWLVvmbLe2thJkAACIYv0eYnpKT0/XmDFjdPjwYUmSx+NRZ2enmpubw0ZjmpqaNHnyZKfm+PHjvc514sQJpaWlnfH3uN1uud3uAbgCwCx/9eibg90EALgkBjzEfPbZZzp69KjS09MlSRMmTNDw4cNVWVmpuXPnSpIaGxu1f/9+rVmzRpKUm5urYDCoPXv26O///u8lSbt371YwGHSCDgDg7M4UZo+svmUQWgIMnIhDTHt7uz788ENnu6GhQfX19UpKSlJSUpJWrVqlO+64Q+np6Tpy5Igee+wxpaSk6Pbbb5ckWZalBQsWaPny5UpOTlZSUpJWrFih7Oxs52ml8ePHa+bMmVq4cKE2bNggSVq0aJEKCgp4MgkAAEjqQ4jZu3evbrrpJmf763ko8+fP1/r167Vv3z69+uqramlpUXp6um666SZt3bpVCQkJznfWrVunYcOGae7cuero6NC0adO0ceNGxcTEODVbtmzR0qVLnaeYCgsLz7k2DQAAuLy4bNu2B7sRA6G1tVWWZSkYDCoxMXGwmwNcMsyJ+Upc5ykdXHenJGn8Q79UR+yIQW7R4ON2EkwQyd9v3p0EAACMRIgBAABGIsQAAAAjEWIAAICRCDEAAMBIhBgAAGAkQgwAADASIQYAABhpwN+dBAAYGnouhMjidzAdIzEAAMBIhBgAAGAkQgwAADASc2IAg/GyRwCXM0ZiAACAkQgxAADASIQYAABgJEIMAAAwEiEGAAAYiRADAACMRIgBAABGIsQAAAAjEWIAAICRCDEAAMBIvHYAAC5TZ3ptxZHVtwxCS4C+YSQGAAAYiRADAACMRIgBAABGIsQAAAAjMbEXMMiZJmICwOWKkRgAAGAkQgwAADASIQYAABiJEAMAAIxEiAEAAEYixAAAACNFHGLee+89zZ49W16vVy6XS2+88UbYcdu2tWrVKnm9XsXFxWnq1Kk6cOBAWE0oFNKSJUuUkpKi+Ph4FRYW6tixY2E1zc3N8vl8sixLlmXJ5/OppaUl4gsEAADRKeIQc/LkSd1www0qKys74/E1a9Zo7dq1KisrU21trTwej6ZPn662tjanpri4WBUVFSovL9fOnTvV3t6ugoICdXd3OzVFRUWqr6+X3++X3+9XfX29fD5fHy4RAABEo4gXu5s1a5ZmzZp1xmO2bevZZ5/V448/rjlz5kiSXnnlFaWlpem1117Tvffeq2AwqJdeekmbNm1SXl6eJGnz5s3KyMjQjh07NGPGDB08eFB+v181NTXKycmRJL344ovKzc3VoUOHNG7cuL5eLwAAiBL9OiemoaFBgUBA+fn5zj63260pU6aourpaklRXV6eurq6wGq/Xq6ysLKdm165dsizLCTCSNGnSJFmW5dT0FAqF1NraGvYBAADRq19DTCAQkCSlpaWF7U9LS3OOBQIBxcbGatSoUeesSU1N7XX+1NRUp6an0tJSZ/6MZVnKyMi46OsBAABD14C8O8nlcoVt27bda19PPWvOVH+u86xcuVLLli1ztltbWwkyABChnu/nOrL6lkFqCXB+/ToS4/F4JKnXaElTU5MzOuPxeNTZ2anm5uZz1hw/frzX+U+cONFrlOdrbrdbiYmJYR8AABC9+jXEjB07Vh6PR5WVlc6+zs5OVVVVafLkyZKkCRMmaPjw4WE1jY2N2r9/v1OTm5urYDCoPXv2ODW7d+9WMBh0agAAwOUt4ttJ7e3t+vDDD53thoYG1dfXKykpSaNHj1ZxcbFKSkqUmZmpzMxMlZSUaOTIkSoqKpIkWZalBQsWaPny5UpOTlZSUpJWrFih7Oxs52ml8ePHa+bMmVq4cKE2bNggSVq0aJEKCgp4MgkAAEjqQ4jZu3evbrrpJmf763ko8+fP18aNG/Xwww+ro6ND999/v5qbm5WTk6Pt27crISHB+c66des0bNgwzZ07Vx0dHZo2bZo2btyomJgYp2bLli1aunSp8xRTYWHhWdemAQAAlx+Xbdv2YDdiILS2tsqyLAWDQebHIGr0nHSJs4vrPKWD6+6UJI1/6JfqiB0xyC0yExN7calF8vd7QJ5OAnDxCCwAcG68ABIAABiJEAMAAIxEiAEAAEYixAAAACMRYgAAgJEIMQAAwEiEGAAAYCRCDAAAMBKL3QEAzupMiy6yii+GCkZiAACAkRiJAYYIXjMAAJFhJAYAABiJEAMAAIxEiAEAAEYixAAAACMRYgAAgJEIMQAAwEiEGAAAYCRCDAAAMBIhBgAAGIkVewEAEem5ujTvUsJgYSQGAAAYiRADAACMxO0kYBDwskcAuHiMxAAAACMRYgAAgJEIMQAAwEiEGAAAYCRCDAAAMBIhBgAAGIkQAwAAjESIAQAARmKxO+ASYHE7AOh/hBgAwEU5U0jnpZC4FPr9dtKqVavkcrnCPh6Pxzlu27ZWrVolr9eruLg4TZ06VQcOHAg7RygU0pIlS5SSkqL4+HgVFhbq2LFj/d1UAABgsAGZE3PdddepsbHR+ezbt885tmbNGq1du1ZlZWWqra2Vx+PR9OnT1dbW5tQUFxeroqJC5eXl2rlzp9rb21VQUKDu7u6BaC4AADDQgNxOGjZsWNjoy9ds29azzz6rxx9/XHPmzJEkvfLKK0pLS9Nrr72me++9V8FgUC+99JI2bdqkvLw8SdLmzZuVkZGhHTt2aMaMGQPRZAAAYJgBGYk5fPiwvF6vxo4dq7vuukv/+7//K0lqaGhQIBBQfn6+U+t2uzVlyhRVV1dLkurq6tTV1RVW4/V6lZWV5dScSSgUUmtra9gHAABEr34PMTk5OXr11Vf11ltv6cUXX1QgENDkyZP12WefKRAISJLS0tLCvpOWluYcCwQCio2N1ahRo85acyalpaWyLMv5ZGRk9POVAQCAoaTfQ8ysWbN0xx13KDs7W3l5eXrzza9mrb/yyitOjcvlCvuObdu99vV0vpqVK1cqGAw6n6NHj17EVQAAgKFuwBe7i4+PV3Z2tg4fPuzMk+k5otLU1OSMzng8HnV2dqq5ufmsNWfidruVmJgY9gEAANFrwNeJCYVCOnjwoL73ve9p7Nix8ng8qqys1N/+7d9Kkjo7O1VVVaWnn35akjRhwgQNHz5clZWVmjt3riSpsbFR+/fv15o1awa6ucBFY2E7ALg0+j3ErFixQrNnz9bo0aPV1NSkn/zkJ2ptbdX8+fPlcrlUXFyskpISZWZmKjMzUyUlJRo5cqSKiookSZZlacGCBVq+fLmSk5OVlJSkFStWOLenAAAApAEIMceOHdMPfvAD/fnPf9aVV16pSZMmqaamRmPGjJEkPfzww+ro6ND999+v5uZm5eTkaPv27UpISHDOsW7dOg0bNkxz585VR0eHpk2bpo0bNyomJqa/mwsAGAA9RyRZwRcDwWXbtj3YjRgIra2tsixLwWCQ+TG4pLidNDTEdZ7SwXV3SpLGP/RLdcSOGOQWXd4IMbhQkfz95i3WAADASIQYAABgJEIMAAAw0oA/Yg1EO+bAAOd3pn9PmCeDi8VIDAAAMBIhBgAAGIkQAwAAjESIAQAARmJiLwBgULCqLy4WIQaIAE8iAcDQwe0kAABgJEIMAAAwEiEGAAAYiTkxAIAhgVV9ESlGYgAAgJEIMQAAwEjcTgLOgUeqAWDoYiQGAAAYiRADAACMRIgBAABGYk4M8P8w/wUAzEKIAQAMWbwkEufC7SQAAGAkQgwAADASt5NwWWL+CwCYjxADADAG71fCN3E7CQAAGIkQAwAAjMTtJACA0XgM+/JFiEHUYdIuAFweCDEAgKjC5N/LB3NiAACAkRiJAQBEPUZnohMhBkZhvguA/sKEYPNxOwkAABhpyI/EPP/883rmmWfU2Nio6667Ts8++6y+973vDXazcIkw8gLgUuGWk3mGdIjZunWriouL9fzzz+u73/2uNmzYoFmzZumPf/yjRo8ePdjNQz8jsAAAIuGybdse7EacTU5Ojv7u7/5O69evd/aNHz9et912m0pLS8/53dbWVlmWpWAwqMTExIFuKvqA0IKBFNd5SgfX3SlJGv/QL9URO2KQW4RoxWhN/4rk7/eQHYnp7OxUXV2dHn300bD9+fn5qq6u7lUfCoUUCoWc7WAwKOmrzkD/ynrirbDt/U/OiPg7wEDr7jylr//t7w59odP26UFtD6LX6If+T8TfuZD/bl6uvv67fSFjLEM2xPz5z39Wd3e30tLSwvanpaUpEAj0qi8tLdWTTz7Za39GRsaAtRFfsZ4d7BYAZ2Z9/cPz/zKYzQB64b+b59fW1ibLss5ZM2RDzNdcLlfYtm3bvfZJ0sqVK7Vs2TJn+/Tp0/r888+VnJx8xvrLTWtrqzIyMnT06FFur11i9P3goe8HD30/eEzve9u21dbWJq/Xe97aIRtiUlJSFBMT02vUpampqdfojCS53W653e6wfX/xF38xkE00UmJiopH/o44G9P3goe8HD30/eEzu+/ONwHxtyK4TExsbqwkTJqiysjJsf2VlpSZPnjxIrQIAAEPFkB2JkaRly5bJ5/Np4sSJys3N1c9//nN9/PHHuu+++wa7aQAAYJAN6RAzb948ffbZZ/rxj3+sxsZGZWVladu2bRozZsxgN804brdbTzzxRK9bbhh49P3goe8HD30/eC6nvh/S68QAAACczZCdEwMAAHAuhBgAAGAkQgwAADASIQYAABiJEBNFvvzyS/37v/+7xo4dq7i4OF199dX68Y9/rNOn//87Y2zb1qpVq+T1ehUXF6epU6fqwIEDg9jq6NHW1qbi4mKNGTNGcXFxmjx5smpra53j9H3/eO+99zR79mx5vV65XC698cYbYccvpJ9DoZCWLFmilJQUxcfHq7CwUMeOHbuEV2Gm8/X966+/rhkzZiglJUUul0v19fW9zkHf9825+r6rq0uPPPKIsrOzFR8fL6/Xq3/5l3/Rp59+GnaOaOx7QkwUefrpp/XCCy+orKxMBw8e1Jo1a/TMM8/oueeec2rWrFmjtWvXqqysTLW1tfJ4PJo+fbra2toGseXR4d/+7d9UWVmpTZs2ad++fcrPz1deXp4++eQTSfR9fzl58qRuuOEGlZWVnfH4hfRzcXGxKioqVF5erp07d6q9vV0FBQXq7u6+VJdhpPP1/cmTJ/Xd735Xq1evPus56Pu+OVfff/HFF3r//ff1ox/9SO+//75ef/11/elPf1JhYWFYXVT2vY2occstt9j33HNP2L45c+bY//zP/2zbtm2fPn3a9ng89urVq53jp06dsi3Lsl944YVL2tZo88UXX9gxMTH2b3/727D9N9xwg/3444/T9wNEkl1RUeFsX0g/t7S02MOHD7fLy8udmk8++cS+4oorbL/ff8nabrqeff9NDQ0NtiT797//fdh++r5/nKvvv7Znzx5bkv3RRx/Zth29fc9ITBS58cYb9d///d/605/+JEn6n//5H+3cuVP/8A//IElqaGhQIBBQfn6+8x23260pU6aourp6UNocLb788kt1d3drxIgRYfvj4uK0c+dO+v4SuZB+rqurU1dXV1iN1+tVVlYW/ywGGH1/6QSDQblcLucdgtHa90N6xV5E5pFHHlEwGNTf/M3fKCYmRt3d3Xrqqaf0gx/8QJKcl2n2fIFmWlqaPvroo0ve3miSkJCg3Nxc/cd//IfGjx+vtLQ0/eIXv9Du3buVmZlJ318iF9LPgUBAsbGxGjVqVK+ani+cRf+i7y+NU6dO6dFHH1VRUZHzAsho7XtGYqLI1q1btXnzZr322mt6//339corr+g///M/9corr4TVuVyusG3btnvtQ+Q2bdok27b1l3/5l3K73fqv//ovFRUVKSYmxqmh7y+NvvQz/ywGD33ff7q6unTXXXfp9OnTev75589bb3rfE2KiyA9/+EM9+uijuuuuu5SdnS2fz6eHHnpIpaWlkiSPxyNJvVJ3U1NTr//nisj99V//taqqqtTe3q6jR49qz5496urq0tixY+n7S+RC+tnj8aizs1PNzc1nrcHAoO8HVldXl+bOnauGhgZVVlY6ozBS9PY9ISaKfPHFF7riivB/pDExMc4j1l//Ma2srHSOd3Z2qqqqSpMnT76kbY1m8fHxSk9PV3Nzs9566y3deuut9P0lciH9PGHCBA0fPjysprGxUfv37+efxQCj7wfO1wHm8OHD2rFjh5KTk8OOR2vfMycmisyePVtPPfWURo8ereuuu06///3vtXbtWt1zzz2SvhpiLy4uVklJiTIzM5WZmamSkhKNHDlSRUVFg9x687311luybVvjxo3Thx9+qB/+8IcaN26c/vVf/5W+70ft7e368MMPne2GhgbV19crKSlJo0ePPm8/W5alBQsWaPny5UpOTlZSUpJWrFih7Oxs5eXlDdZlGeF8ff/555/r448/dtYnOXTokKSvRgE8Hg99fxHO1fder1d33nmn3n//ff32t79Vd3e3MxqZlJSk2NjY6O37wXswCv2ttbXVfvDBB+3Ro0fbI0aMsK+++mr78ccft0OhkFNz+vRp+4knnrA9Ho/tdrvt73//+/a+ffsGsdXRY+vWrfbVV19tx8bG2h6Px168eLHd0tLiHKfv+8c777xjS+r1mT9/vm3bF9bPHR0d9gMPPGAnJSXZcXFxdkFBgf3xxx8PwtWY5Xx9//LLL5/x+BNPPOGcg77vm3P1/dePtJ/p88477zjniMa+d9m2bV+qwAQAANBfmBMDAACMRIgBAABGIsQAAAAjEWIAAICRCDEAAMBIhBgAAGAkQgwAADASIQYAABiJEAMAAIxEiAEAAEYixAAAACMRYgAAgJH+Lykj60LtxAXRAAAAAElFTkSuQmCC",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# NORMAL DISTRIBUTION\n",
"#with mean mu and variance si\n",
"\n",
"\n",
"mu = 100\n",
"si = 5\n",
"N = 100000\n",
"values = np.random.normal(mu, si, N)\n",
"\n",
"plt.hist(values, 100)\n",
"plt.axvline(values.mean(), color='r')\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 112,
"id": "3f698986",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# NORMAL DISTRIBUTION\n",
"#with mean mu and variance si\n",
"\n",
"mu = 100\n",
"si = 5\n",
"N = 100000\n",
"values = np.random.normal(mu, si, N)\n",
"\n",
"plt.hist(values, 200)\n",
"plt.axvline(values.mean(), color='r')\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 113,
"id": "a8bbdf7a",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# NORMAL DISTRIBUTION\n",
"#with mean mu and variance si\n",
"\n",
"mu = 100\n",
"si = 5\n",
"N = 100000\n",
"values = np.random.normal(mu, si, N)\n",
"\n",
"plt.hist(values, 1000)\n",
"plt.axvline(values.mean(), color='r')\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 120,
"id": "082de547",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# NORMAL DISTRIBUTION\n",
"#with mean mu and variance si\n",
"\n",
"mu = 100\n",
"si = 5\n",
"N = 100000\n",
"values = np.random.normal(mu, si, N)\n",
"\n",
"plt.hist(values, 100)\n",
"plt.axvline(values.mean(), color='r')\n",
"plt.xlim([20,160])\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 122,
"id": "b65f4339",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"mu = 100\n",
"si = 10\n",
"N = 100000\n",
"values = np.random.normal(mu, si, N)\n",
"\n",
"plt.hist(values, 100)\n",
"plt.axvline(values.mean(), color='r')\n",
"plt.xlim([20,160])\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 123,
"id": "831af78d",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"mu = 100\n",
"si = 20\n",
"N = 100000\n",
"values = np.random.normal(mu, si, N)\n",
"\n",
"plt.hist(values, 100)\n",
"plt.axvline(values.mean(), color='r')\n",
"plt.xlim([20,160])\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 127,
"id": "3510dfcd",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"mu = 60\n",
"si = 10\n",
"N = 100000\n",
"v1 = np.random.normal(mu, si, N)\n",
"\n",
"plt.hist(v1, 100)\n",
"plt.axvline(v1.mean(), color='r')\n",
"plt.xlim([20,160])\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 128,
"id": "42bfb96d",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"mu = 120\n",
"si = 10\n",
"N = 100000\n",
"v2 = np.random.normal(mu, si, N)\n",
"\n",
"plt.hist(v2, 100)\n",
"plt.axvline(v2.mean(), color='r')\n",
"plt.xlim([20,160])\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 132,
"id": "db1c71b8",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"v3 = np.concatenate((v1,v2))\n",
"plt.hist(v3, 100)\n",
"plt.axvline(v1.mean(), color='r')\n",
"plt.axvline(v2.mean(), color='r')\n",
"plt.xlim([20,160])\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 134,
"id": "e55598c7",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"si = 10\n",
"N = 100000\n",
"w1 = np.random.normal(80, si, N)\n",
"w2 = np.random.normal(100, si, N)\n",
"w3 = np.random.normal(120, si, N)\n",
"w = np.concatenate((w1, w2, w3))\n",
"plt.hist(w, 100)\n",
"plt.axvline(w1.mean(), color='r')\n",
"plt.axvline(w2.mean(), color='r')\n",
"plt.axvline(w3.mean(), color='r')\n",
"plt.xlim([20,160])\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "e27e83af",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 9 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Exercise 5\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"import statistics as stat\n",
"#1\n",
"mu = 100\n",
"si = 5\n",
"N = 10000\n",
"values = np.random.normal(mu, si, N)\n",
"\n",
"plt.subplot(3,3,1)\n",
"plt.hist(values, 100)\n",
"plt.axvline(values.mean(), color='r')\n",
"plt.xlim([20,300])\n",
"plt.title('mu = 100, si = 5')\n",
"\n",
"\n",
"#2\n",
"mu = 100\n",
"si = 10\n",
"N = 10000\n",
"values = np.random.normal(mu, si, N)\n",
"\n",
"plt.subplot(3,3,2)\n",
"plt.hist(values, 100)\n",
"plt.axvline(values.mean(), color='r')\n",
"plt.xlim([20,300])\n",
"plt.title('mu = 100, si = 10')\n",
"\n",
"\n",
"#3\n",
"mu = 100\n",
"si = 20\n",
"N = 10000\n",
"values = np.random.normal(mu, si, N)\n",
"\n",
"plt.subplot(3,3,3)\n",
"plt.hist(values, 100)\n",
"plt.axvline(values.mean(), color='r')\n",
"plt.xlim([20,300])\n",
"plt.title('mu = 100, si = 20')\n",
"\n",
"\n",
"#4\n",
"mu = 200\n",
"si = 5\n",
"N = 10000\n",
"values = np.random.normal(mu, si, N)\n",
"\n",
"plt.subplot(3,3,4)\n",
"plt.hist(values, 100)\n",
"plt.axvline(values.mean(), color='r')\n",
"plt.xlim([20,300])\n",
"plt.title('mu = 200, si = 5')\n",
"\n",
"#5\n",
"mu = 200\n",
"si = 10\n",
"N = 10000\n",
"values = np.random.normal(mu, si, N)\n",
"\n",
"plt.subplot(3,3,5)\n",
"plt.hist(values, 100)\n",
"plt.axvline(values.mean(), color='r')\n",
"plt.xlim([20,300])\n",
"plt.title('mu = 200, si = 10')\n",
"\n",
"#6\n",
"mu = 200\n",
"si = 20\n",
"N = 10000\n",
"values = np.random.normal(mu, si, N)\n",
"\n",
"plt.subplot(3,3,6)\n",
"plt.hist(values, 100)\n",
"plt.axvline(values.mean(), color='r')\n",
"plt.xlim([20,300])\n",
"plt.title('mu = 200, si = 20')\n",
"\n",
"#7\n",
"mu = 300\n",
"si = 5\n",
"N = 10000\n",
"values = np.random.normal(mu, si, N)\n",
"\n",
"plt.subplot(3,3,7)\n",
"plt.hist(values, 100)\n",
"plt.axvline(values.mean(), color='r')\n",
"plt.xlim([20,350])\n",
"plt.title('mu = 300, si = 5')\n",
"\n",
"#8\n",
"mu = 300\n",
"si = 10\n",
"N = 10000\n",
"values = np.random.normal(mu, si, N)\n",
"\n",
"plt.subplot(3,3,8)\n",
"plt.hist(values, 100)\n",
"plt.axvline(values.mean(), color='r')\n",
"plt.xlim([20,350])\n",
"plt.title('mu = 300, si = 10')\n",
"\n",
"#9\n",
"mu = 350\n",
"si = 20\n",
"N = 10000\n",
"values = np.random.normal(mu, si, N)\n",
"\n",
"plt.subplot(3,3,9)\n",
"plt.hist(values, 100)\n",
"plt.axvline(values.mean(), color='r')\n",
"plt.xlim([20,480])\n",
"plt.title('mu = 350, si = 20')\n",
"plt.show()\n"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "5b976a60",
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"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": "3.11.4"
}
},
"nbformat": 4,
"nbformat_minor": 5
}
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