diff --git a/notebooks/Normal and t-Distribution/BIND_2_3.ipynb b/notebooks/Normal and t-Distribution/BIND_2_3.ipynb
index 61c94cbf15b2c64eb09c09aa238b3e9d8091b6f7..6a26024bfc0d359bf6d0b5fac9d5f42894ca12b8 100644
--- a/notebooks/Normal and t-Distribution/BIND_2_3.ipynb	
+++ b/notebooks/Normal and t-Distribution/BIND_2_3.ipynb	
@@ -2,7 +2,7 @@
  "cells": [
   {
    "cell_type": "code",
-   "execution_count": 1,
+   "execution_count": 2,
    "metadata": {
     "tags": []
    },
@@ -35,7 +35,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 2,
+   "execution_count": 3,
    "metadata": {
     "tags": []
    },
@@ -116,7 +116,7 @@
        "4           58             161        52          142"
       ]
      },
-     "execution_count": 2,
+     "execution_count": 3,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -135,7 +135,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 3,
+   "execution_count": 4,
    "metadata": {
     "tags": []
    },
@@ -151,7 +151,7 @@
        "dtype: int64"
       ]
      },
-     "execution_count": 3,
+     "execution_count": 4,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -172,7 +172,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 4,
+   "execution_count": 5,
    "metadata": {
     "tags": []
    },
@@ -183,7 +183,7 @@
        "Text(0.5, 1.0, 'Differenz Alter')"
       ]
      },
-     "execution_count": 4,
+     "execution_count": 5,
      "metadata": {},
      "output_type": "execute_result"
     },
@@ -214,9 +214,9 @@
    "cell_type": "markdown",
    "metadata": {},
    "source": [
-    "Wir wählen für die Likelihood-Funktion wiederum die Normalverteilung. Als Prior-Verteilung wählen wir auch für diesen Fall eine gleichförmige Verteilung, was unser Unwissen in Bezug auf die Altersdifferenzen ausdrückt.  Wir wählen eine Gleichverteilung im Bereich $ [-10, 10] $, d.h., wir gehen also davon aus, dass der mittlere Unterschied im Bereich von $ -10 $ bis $ 10 $ Jahren liegt, wobei alle Werte gleich wahrscheinlich sind. Warum wählen wir auch noch negative Werte von $ \\mu $? Nun wir wissen nicht, ob unsere Erfahrung, dass Ehemänner tendentiell älter sind als ihre Ehefrauen, für alle Ehepaare zutrifft. Es könnte ja sein, dass in _unserem_ Freundeskreis die Ehemänner eher älter sind als die Ehefrauen, wobei dies nicht im  Allgemeinen der Fall sein muss. \n",
+    "Wir wählen für die Likelihood-Funktion wiederum die Normalverteilung. Als Prior-Verteilung wählen wir auch für diesen Fall eine gleichförmige Verteilung, was unser Unwissen in Bezug auf die Altersdifferenzen ausdrückt.  Wir wählen eine Gleichverteilung im Bereich $ [0, 10] $, d.h., wir gehen also davon aus, dass der mittlere Unterschied im Bereich von $ 0$ bis $ 10 $ Jahren zwischen Ehemännern und Ehefrauen liegt, wobei alle Werte gleich wahrscheinlich sind. Warum wählen wir auch nicht negative Werte von $ \\mu $? Nun wir drücken damit unser Vorwissen, resp. unsere Erfahrung aus, dass Ehemänner tendenziell älter sind als ihre Ehefrauen.\n",
     "\n",
-    "Da die Standardabweichung schwierig zu schätzen ist, nehmen wir als Standardabweichung die geschätzte Standardabweichung der Daten `diff.std()`. Somit erhalten wir das folgende `pymc3`-Modell."
+    "Da die Standardabweichung schwierig zu schätzen ist, nehmen wir als Standardabweichung die geschätzte Standardabweichung der Daten `diff.std()`. Somit erhalten wir das folgende `PyMC`-Modell."
    ]
   },
   {
@@ -250,7 +250,7 @@
      "name": "stderr",
      "output_type": "stream",
      "text": [
-      "Sampling 4 chains for 1_000 tune and 1_000 draw iterations (4_000 + 4_000 draws total) took 3 seconds.\n"
+      "Sampling 4 chains for 1_000 tune and 1_000 draw iterations (4_000 + 4_000 draws total) took 1 seconds.\n"
      ]
     },
     {
@@ -265,7 +265,7 @@
     },
     {
      "data": {
-      "image/png": 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",
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",
       "text/plain": [
        "<Figure size 640x480 with 1 Axes>"
       ]
@@ -288,14 +288,28 @@
    "cell_type": "markdown",
    "metadata": {},
    "source": [
-    "Somit liegt der Mittelwert der Posterior-Verteilung bei $ \\mu=2.2 $ und 94\\% der wahrscheinlichsten Werte für $ \\mu $ liegen im Bereich $ [1.6,2.8] $. \n",
+    "Somit liegt der Mittelwert der Posterior-Verteilung bei $ \\mu=2.2 $ und 94\\% der wahrscheinlichsten Werte für $ \\mu $ liegen im Bereich $ [1.7,2.8] $. \n",
     "\n",
     "Nun stellt sich noch die Frage, ob es einen statistisch relevanten Unterschied beim Altersunterschied gibt. Nehmen wir einmal an, dass es keinen Altersunterschied gibt, also $ \\mu=0 $. Wie lautet Ihre Test-Entscheidung?"
    ]
   },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "### Savage-Dickey Verhältnis Plot"
+   ]
+  },
   {
    "cell_type": "code",
-   "execution_count": 4,
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
+   "source": []
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 8,
    "metadata": {},
    "outputs": [
     {
@@ -330,17 +344,17 @@
     {
      "data": {
       "text/plain": [
-       "({'BF10': 4.730545600529063, 'BF01': 0.21139210662891827},\n",
-       " <Axes: title={'center': 'The BF_10 is 4.73\\nThe BF_01 is 0.21'}, xlabel='μ', ylabel='Density'>)"
+       "({'BF10': 7.26747941775554, 'BF01': 0.13759928890295173},\n",
+       " <Axes: title={'center': 'The BF_10 is 7.27\\nThe BF_01 is 0.14'}, xlabel='μ', ylabel='Density'>)"
       ]
      },
-     "execution_count": 4,
+     "execution_count": 8,
      "metadata": {},
      "output_type": "execute_result"
     },
     {
      "data": {
-      "image/png": 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",
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",
       "text/plain": [
        "<Figure size 640x480 with 1 Axes>"
       ]
@@ -351,13 +365,85 @@
    ],
    "source": [
     "with pm.Model() as model_h:\n",
-    "    μ = pm.Uniform('μ', lower=-10, upper=10)\n",
+    "    μ = pm.Uniform('μ', lower=0, upper=10)\n",
     "    σ = diff.std()\n",
     "    y = pm.Normal('y', mu=μ, sigma=σ, observed=diff)\n",
     "    trace_h = pm.sample(1000)\n",
     "    trace_h.extend(pm.sample_prior_predictive(8000))\n",
     "az.plot_bf(trace_h, var_name=\"μ\", ref_val=0)"
    ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 11,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "Auto-assigning NUTS sampler...\n",
+      "Initializing NUTS using jitter+adapt_diag...\n",
+      "Multiprocess sampling (4 chains in 4 jobs)\n",
+      "NUTS: [μ]\n"
+     ]
+    },
+    {
+     "data": {
+      "text/html": [
+       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
+      ],
+      "text/plain": []
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "Sampling 4 chains for 1_000 tune and 1_000 draw iterations (4_000 + 4_000 draws total) took 1 seconds.\n",
+      "Sampling: [y, μ]\n"
+     ]
+    },
+    {
+     "data": {
+      "text/plain": [
+       "({'BF10': 0.193423126934419, 'BF01': 5.170012582513231},\n",
+       " <Axes: title={'center': 'The BF_10 is 0.19\\nThe BF_01 is 5.17'}, xlabel='μ', ylabel='Density'>)"
+      ]
+     },
+     "execution_count": 11,
+     "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": [
+    "with pm.Model() as model_h:\n",
+    "    μ = pm.Normal('μ', sigma=2, mu=2)\n",
+    "    σ = diff.std()\n",
+    "    y = pm.Normal('y', mu=μ, sigma=σ, observed=diff)\n",
+    "    trace_h = pm.sample(1000)\n",
+    "    trace_h.extend(pm.sample_prior_predictive(8000))\n",
+    "az.plot_bf(trace_h, var_name=\"μ\", ref_val=2)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
+   "source": []
   }
  ],
  "metadata": {