From f3760774f8f84ada47288df135d7be577153e9b4 Mon Sep 17 00:00:00 2001
From: Mirko Birbaumer <mirko.birbaumer@hslu.ch>
Date: Tue, 28 Jan 2025 10:48:48 +0000
Subject: [PATCH] executed beta distribution files

---
 notebooks/Beta Distribution/BT_2_2.ipynb      | 88 ++++---------------
 notebooks/Beta Distribution/BV_4_3.ipynb      | 27 +++---
 notebooks/Beta Distribution/BV_4_6.ipynb      |  6 +-
 .../process_optimization_doe.ipynb            |  2 +-
 4 files changed, 34 insertions(+), 89 deletions(-)

diff --git a/notebooks/Beta Distribution/BT_2_2.ipynb b/notebooks/Beta Distribution/BT_2_2.ipynb
index f23d467..f065766 100644
--- a/notebooks/Beta Distribution/BT_2_2.ipynb	
+++ b/notebooks/Beta Distribution/BT_2_2.ipynb	
@@ -2,7 +2,7 @@
  "cells": [
   {
    "cell_type": "code",
-   "execution_count": 1,
+   "execution_count": 8,
    "metadata": {
     "tags": []
    },
@@ -87,7 +87,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 2,
+   "execution_count": 9,
    "metadata": {
     "tags": []
    },
@@ -110,7 +110,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 3,
+   "execution_count": 10,
    "metadata": {
     "tags": []
    },
@@ -118,22 +118,12 @@
     {
      "data": {
       "text/plain": [
-       "Text(0, 0.5, '$P(y=1\\\\mid\\\\theta )$')"
+       "Text(50.88522208385221, 0.5, '$P(y=1\\\\mid\\\\theta )$')"
       ]
      },
-     "execution_count": 3,
+     "execution_count": 10,
      "metadata": {},
      "output_type": "execute_result"
-    },
-    {
-     "data": {
-      "image/png": "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",
-      "text/plain": [
-       "<Figure size 640x480 with 1 Axes>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
     }
    ],
    "source": [
@@ -154,7 +144,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 4,
+   "execution_count": 11,
    "metadata": {
     "tags": []
    },
@@ -180,7 +170,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 5,
+   "execution_count": 12,
    "metadata": {
     "tags": []
    },
@@ -188,22 +178,12 @@
     {
      "data": {
       "text/plain": [
-       "Text(0, 0.5, '$P(\\\\theta)$')"
+       "Text(50.88522208385221, 0.5, '$P(\\\\theta)$')"
       ]
      },
-     "execution_count": 5,
+     "execution_count": 12,
      "metadata": {},
      "output_type": "execute_result"
-    },
-    {
-     "data": {
-      "image/png": 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XNT8AgAu58If43bt3L+7duzc5JQUAcJ1MfUHxH/7wh6nG/e53v3vvyQAAfKip4+bu3bvR7Xbjv//7v089tr+/H19//XX827/9W9RqtY85PwCAC5n6tNRPfvKT+MlPfhK//e1v41//9V9jb28vsiyLV69exfLycrTb7fjnf/7ny5wrAMA7Xfiam+NvAX8f/X4/IiIGg0F0u92oVqunxgyHw1hbW4t2ux2NRuPcdafZHgBwe0x9Wurbb7+Nbrf7QdfUjEajGI/H0Wq1Yn19PZ48eXLmmMFgMNW602wPALhdpo6bVqsVh4eH8cc//jEeP378Xk+2sbERKysrERGRZVkURXFqTLVajbW1tcjz/J3rTrM9AOB2mTpuqtVqPHv2LJ49exZffPHF1O+eOq4oisiybHK/UqlEWZbvve4333zz3tsDANI0ddz88Ic/nPx5eXn5UiZzWQ4ODmJ/f//EDQBI09Rx8/Tp0/jxj38c//iP/xidTieKoog//OEPsb+/H//xH/8x1TbyPD91ZOX4kZeLrvvZZ59Ntb3V1dVYWFiY3JaWlqZ6TgDg5rlQ3PzP//xPvHjxYnL9zYsXL+KnP/1ptNvtqbZRr9cnFwuXZXninU3vul7mrHXP295x3W439vb2JrednZ2p5gsA3DxTvxX82bNnERGxsLAw+cybo3cn/fa3v51qG7VaLTY3N6Pf70dZlrG+vh4Rr8OmXq/HeDyOiIitra0YDoexu7sbeZ5HtVo9c90sy87c3pvm5uZibm5u2pcKANxgF/6cm7Nc5HNver3eqWV5nk/CJiKi0Wic+Hyb89Y9axkAcHtNfVoKAOAmEDcAQFLEDQCQFHEDACRF3AAASRE3AEBSxA0AkBRxAwAkRdwAAEkRNwBAUsQNAJAUcQMAJEXcAABJETcAQFLEDQCQFHEDACRF3AAASRE3AEBSxA0AkBRxAwAkRdwAAEkRNwBAUsQNAJAUcQMAJEXcAABJETcAQFLEDQCQFHEDACRF3AAASRE3AEBSxA0AkJRPrnoC8D4+/eKrE/e/ffb5Fc0EuM7e/F0R4ffFbeDIDQCQFHEDACRF3AAASRE3AEBSZn5Bcb/fj4iIwWAQ3W43qtXqVGOeP38eq6urJ8b9+7//e3z11f9dLJbneaytrV3i7AGA626mcTMajWI8Hsfa2lo8evQoHj58GC9fvpx6zKtXrybj2u12/OxnP4s///nPUa/XIyKiUqnM7sUAANfSTONmY2MjVlZWIiIiy7IoimLqMY1GYzJmNBpNgmZlZSVqtdplTx0AuCFmes1NURSRZdnkfqVSibIspxqT5/lkWa/Xi0ajEbu7u9Hr9aJer8fy8nIMh8Mzn/fg4CD29/dP3ACANN24C4r7/f6J01C9Xi8Gg0H0er1oNptnrrO6uhoLCwuT29LS0iynDADM0EzjJs/zU0dqjh+ledeYsiwnR22Olh8d0Tnv1FS32429vb3JbWdn54NeBwBwfc00bur1egwGg4h4HSrH3yl1dG3NeWM6nU602+3J/eOnocqyjFardebzzs3Nxfz8/IkbAJCmmV5QXKvVYnNzM/r9fpRlGevr6xHxOmzq9XqMx+Nzx7x48SJ6vd5ke2VZRqfTicXFxciyzNvAAYDZf87N8Tg5kud5jMfjd445/lbwiNfvoDr+LioAgBt3QTEAwHnEDQCQFHEDACRF3AAASRE3AEBSxA0AkBRxAwAkRdwAAEkRNwBAUsQNAJAUcQMAJEXcAABJETcAQFLEDQCQFHEDACRF3AAASRE3AEBSxA0AkBRxAwAkRdwAAEkRNwBAUsQNAJAUcQMAJEXcAABJETcAQFLEDQCQFHEDACRF3AAASRE3AEBSxA0AkBRxAwAkRdwAAEkRNwBAUsQNAJAUcQMAJOWTWT9hv9+PiIjBYBDdbjeq1epUY8qyjCdPnkzG5Hkea2trU20PALg9Zho3o9EoxuNxrK2txaNHj+Lhw4fx8uXLqcfkeR71ej0iIiqVylTbAwBul5nGzcbGRqysrERERJZlURTFhcasrKxErVab3O90Ou/cHgBwu8z0mpuiKCLLssn9SqUSZVlONWZ3dzd6vV7U6/VYXl6O4XA41fYiIg4ODmJ/f//EDQBI0425oLhSqUSv14vBYBC9Xi+azebU666ursbCwsLktrS0dIkzBQCu0kzjJs/zU0dWjh95OW9MlmWR53lExOTU1DTbi4jodruxt7c3ue3s7HzIywAArrGZxk29Xo/BYBAREWVZnnhn09H1Mm8bMxwOJ2PLsoxWq3Xu9o6bm5uL+fn5EzcAIE0zvaC4VqvF5uZm9Pv9KMsy1tfXI+J12NTr9RiPx28dU5ZldDqdWFxcjCzLYm1tLSLizLEAwO0188+56fV6p5bleR7j8fjcMY1GIxqNxlTbAwBurxtzQTEAwDTEDQCQFHEDACRF3AAASRE3AEBSxA0AkBRxAwAkRdwAAEkRNwBAUsQNAJAUcQMAJEXcAABJmfkXZ3L9fPrFVyfuf/vs8yuaCQBv/k6O8Hv5ohy5AQCSIm4AgKSIGwAgKeIGAEiKuAEAkiJuAICkiBsAICniBgBIirgBAJIibgCApIgbACAp4gYASIq4AQCSIm4AgKSIGwAgKeIGAEiKuAEAkiJuAICkiBsAICniBgBIirgBAJIibgCApHwy6yfs9/sRETEYDKLb7Ua1Wp1qTFmW0el04k9/+lM8ePAg1tbWIiLiyZMnk/XyPJ8sBwBup5keuRmNRjEej6PVasX6+vqJMHnXmH6/H81mMzY3N6Moiuh0OhHxOmja7Xa02+14/PjxLF8OAHANzfTIzcbGRqysrERERJZlURTF1GMajUbkeR4REe12O3q9XkRErKysRK1Wm8X0AYAbYKZHboqiiCzLJvcrlUqUZTnVmKOwiYjY3t6OZrMZu7u70ev1ol6vx/LycgyHwzOf9+DgIPb390/cAIA0zfyamw9VlmWUZRmtVivKsoxerxd5nsdwOIxmsxmvXr06tc7q6mp8+eWXVzBbAGDWZnrkJs/zU0dqjh+lmWbM6urq5JRUlmWTIzrnnZrqdruxt7c3ue3s7Lz3awAArreZxk29Xo/BYBARr4/AHH+n1NG1NeeN6XQ60e12J/ePn4Y6Oppzlrm5uZifnz9xAwDSNNPTUrVaLTY3N6Pf70dZlrG+vh4Rr8OmXq/HeDx+65h2ux0vXryYvE28LMv49a9/HYPBIBYXFyPLMm8DBwBmf83N0Sml4/I8j/F4fO6YXq935nIAgON8QjEAkBRxAwAkRdwAAEkRNwBAUsQNAJAUcQMAJEXcAABJETcAQFLEDQCQFHEDACRF3AAASRE3AEBSxA0AkBRxAwAkRdwAAEkRNwBAUsQNAJAUcQMAJEXcAABJETcAQFLEDQCQFHEDACRF3AAASRE3AEBSxA0AkBRxAwAkRdwAAEkRNwBAUsQNAJAUcQMAJEXcAABJETcAQFLEDQCQFHEDACRF3AAASZl53PT7/ej3+9FsNmM0Gl1ozFnLp9keAHB7zDRuRqNRjMfjaLVasb6+Hk+ePJl6zFnLp9keAHC7zDRuNjY2YmVlJSIisiyLoiimHnPW8mm2BwDcLp/M8smKooh6vT65X6lUoizLyLLsnWPOWv7NN9+8c3sREQcHB3FwcDC5v7e3FxER+/v7H+ul3WjfH/zvifs3Yb/ctDm/Od+ImzfnmzbfCHO+DH4uLt9NnPOsHO2Hw8PDc8fNNG6uyurqanz55Zenli8tLV3BbK6/hf931TO4OHO+fDdtvhHmPAs3bb4R5pyC7777LhYWFt76+EzjJs/zKMvyxLI3j7K8bcxZyz/77LN3bi8iotvtxj/90z9N7n///fexu7sbi4uLcefOnQu+infb39+PpaWl2NnZifn5+Y++fV6zny+ffXz57OPZsJ8v3yz28eHhYXz33Xfxox/96NxxM42ber0em5ub0Wg0oizLqFark8eKoog8z9865qzl523vuLm5uZibmzux7KwI+tjm5+f9RzQD9vPls48vn308G/bz5bvsfXzeEZsjM42bWq0Wm5ub0e/3oyzLWF9fj4j/u85mPB6/dcxZy7MsO3MsAHB73Tl811U5XNj+/n4sLCzE3t6e/0O4RPbz5bOPL599PBv28+W7TvvYJxRfgrm5ufiXf/mXU6fC+Ljs58tnH18++3g27OfLd532sSM3AEBSHLkBAJIibgCApIgbAOBChsNh1Ov12NraeuuYq/xia3HzEXzIN50znXftv7Iso91ux/3796Pdbp/6cEfe7SI/o/fv35/RrNIy7T4uiiKeP3/ud8V7mmY/P3/+PPr9fnQ6nRgOhzOe4c02Go1iMBi8c8yVfrH1IR/k5cuXh0+fPj08PDw8fPXq1WG1Wn2vMbzdNPtvbW3tcDAYHI7H48NarXbYarVmPc0b7SI/o71e7zDLsllNLRnT7uPxeOzn9wNMs58Hg8GJMbVabaZzTEWr1Trc3Nw887GnT5+eeGzWvzMcuflAH/JN50xnmv3XaDSiVqtFnufRbrft4wua9mf06JPEubhp93G73Y5erzfLqSVl2v08HA7P/FJmPo6iKE58E8DRF1vPirj5QNP8BV71X/JNN83+O/4P7vb2djSbzRnNLg3T/oxubW1FrVab3cQSMs0+3traijzP4/nz59Fut52Weg/T7OdarRYPHjyIe/fuRafTiadPn852klw6cUNSyrKMsiyj1Wpd9VSSMxwOo9FoXPU0kra9vR1FUUSr1Yr79+/Hw4cPr3pKSTqKna+//joiXEN2Gab5ouzLJG4+0Id80znTucj+W11ddUj/PUyzj9fW1qLdbke9Xo+yLKNerzv9dwHT7OOyLKPZbEaWZZNAt48vZpr93Ol0ot1uR7VajcFgYB9/REf7sl6vTy46Pu+LrS+LuPlA5/0FXpe/5Jtumn0c8foXVrfbnfn8UjDNPh4MBpNblmUxGAxcf3MB0+zj+/fvx3g8niyvVCr28QVN+/tid3d38mf7+OK2trZiOBzGxsbG5PTp8euXjk5fH71zbdZfbO3rFz6Co7cgH50OObqI7eibzt82hum9ax+32+148eLFZHxZljEej/3SuoBpfo7LsowXL15Eu92OtbU1P8sXdJHfFePxOB4/fux/ht7Du/ZzWZbR6XRieXk5/va3v0W73fa7IjHiBgBIitNSAEBSxA0AkBRxAwAkRdwAAEkRNwBAUsQNAJAUcQMAJEXcAABJ+eSqJwDwMfX7/RiPx7GysuKLPuGWEjdAMp4/fz75wsknT56IG7ilnJYCklAURWxvb0eWZZPvEgJuJ0dugCSMRqMoyzKeP38ef/vb3+LBgwdXPSXgiogbIAnb29vR6XSiVqvF1taWIzdwizktBSShKIrI8zwiIgaDgett4BYTN0ASKpXK5GhNlmWT0AFunzuHh4eHVz0JgA81Go1idXU1Hj9+7KgN3HLiBgBIitNSAEBSxA0AkBRxAwAkRdwAAEkRNwBAUsQNAJAUcQMAJEXcAABJETcAQFLEDQCQFHEDACTl/wMUZJC2uMKUVwAAAABJRU5ErkJggg==",
-      "text/plain": [
-       "<Figure size 640x480 with 1 Axes>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
     }
    ],
    "source": [
@@ -236,7 +216,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 6,
+   "execution_count": 13,
    "metadata": {
     "tags": []
    },
@@ -261,7 +241,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 7,
+   "execution_count": 14,
    "metadata": {
     "tags": []
    },
@@ -269,22 +249,12 @@
     {
      "data": {
       "text/plain": [
-       "Text(0, 0.5, '$P(\\\\theta\\\\mid y=1)$')"
+       "Text(50.88522208385221, 0.5, '$P(\\\\theta\\\\mid y=1)$')"
       ]
      },
-     "execution_count": 7,
+     "execution_count": 14,
      "metadata": {},
      "output_type": "execute_result"
-    },
-    {
-     "data": {
-      "image/png": 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",
-      "text/plain": [
-       "<Figure size 640x480 with 1 Axes>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
     }
    ],
    "source": [
@@ -314,7 +284,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 8,
+   "execution_count": 15,
    "metadata": {
     "tags": []
    },
@@ -332,22 +302,12 @@
     {
      "data": {
       "text/plain": [
-       "Text(0, 0.5, '$P(\\\\theta)$')"
+       "Text(50.88522208385221, 0.5, '$P(\\\\theta)$')"
       ]
      },
-     "execution_count": 8,
+     "execution_count": 15,
      "metadata": {},
      "output_type": "execute_result"
-    },
-    {
-     "data": {
-      "image/png": "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",
-      "text/plain": [
-       "<Figure size 640x480 with 1 Axes>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
     }
    ],
    "source": [
@@ -365,7 +325,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 9,
+   "execution_count": 16,
    "metadata": {
     "tags": []
    },
@@ -383,22 +343,12 @@
     {
      "data": {
       "text/plain": [
-       "Text(0, 0.5, '$P(\\\\theta)$')"
+       "Text(50.88522208385221, 0.5, '$P(\\\\theta)$')"
       ]
      },
-     "execution_count": 9,
+     "execution_count": 16,
      "metadata": {},
      "output_type": "execute_result"
-    },
-    {
-     "data": {
-      "image/png": "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",
-      "text/plain": [
-       "<Figure size 640x480 with 1 Axes>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
     }
    ],
    "source": [
diff --git a/notebooks/Beta Distribution/BV_4_3.ipynb b/notebooks/Beta Distribution/BV_4_3.ipynb
index f1558da..5d75b09 100644
--- a/notebooks/Beta Distribution/BV_4_3.ipynb	
+++ b/notebooks/Beta Distribution/BV_4_3.ipynb	
@@ -2,7 +2,7 @@
  "cells": [
   {
    "cell_type": "code",
-   "execution_count": 1,
+   "execution_count": 13,
    "metadata": {
     "tags": []
    },
@@ -16,26 +16,21 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 10,
+   "execution_count": 17,
    "metadata": {
     "tags": []
    },
-   "outputs": [
-    {
-     "data": {
-      "image/png": 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",
-      "text/plain": [
-       "<Figure size 1200x1400 with 3 Axes>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    }
-   ],
+   "outputs": [],
    "source": [
-    "bt.prior(a=1, b=1, z=30, N=500) \n",
-    "plt.savefig('test.png')"
+    "bt.prior(a=5.8, b=4.2, z=4, N=10) "
    ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
+   "source": []
   }
  ],
  "metadata": {
diff --git a/notebooks/Beta Distribution/BV_4_6.ipynb b/notebooks/Beta Distribution/BV_4_6.ipynb
index d97b272..e2d130c 100644
--- a/notebooks/Beta Distribution/BV_4_6.ipynb	
+++ b/notebooks/Beta Distribution/BV_4_6.ipynb	
@@ -11,7 +11,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 3,
+   "execution_count": 4,
    "metadata": {
     "tags": []
    },
@@ -40,7 +40,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 2,
+   "execution_count": 5,
    "metadata": {
     "tags": []
    },
@@ -51,7 +51,7 @@
        "(array([0.14614615]), array([0.85385385]))"
       ]
      },
-     "execution_count": 2,
+     "execution_count": 5,
      "metadata": {},
      "output_type": "execute_result"
     }
diff --git a/notebooks/Prozessoptimierung/process_optimization_doe.ipynb b/notebooks/Prozessoptimierung/process_optimization_doe.ipynb
index e12154e..88e3e68 100644
--- a/notebooks/Prozessoptimierung/process_optimization_doe.ipynb
+++ b/notebooks/Prozessoptimierung/process_optimization_doe.ipynb
@@ -384,7 +384,7 @@
    "name": "python",
    "nbconvert_exporter": "python",
    "pygments_lexer": "ipython3",
-   "version": "3.9.12"
+   "version": "3.10.11"
   }
  },
  "nbformat": 4,
-- 
GitLab