QuantEcon
diff --git a/‎about_lectures.ipynb
+1-1 b/‎about_lectures.ipynb
+1-1
diff --git a/‎about_py.ipynb
+1-1 b/‎about_py.ipynb
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diff --git a/‎additive_functionals.ipynb
+1-1 b/‎additive_functionals.ipynb
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diff --git a/‎aiyagari.ipynb
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diff --git a/‎amss.ipynb
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diff --git a/‎amss2.ipynb
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diff --git a/‎amss3.ipynb
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diff --git a/‎ar1_processes.ipynb
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diff --git a/‎arellano.ipynb
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diff --git a/‎arma.ipynb
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diff --git a/‎black_litterman.ipynb
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diff --git a/‎calvo.ipynb
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diff --git a/‎career.ipynb
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diff --git a/‎cass_koopmans.ipynb
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diff --git a/‎cattle_cycles.ipynb
+1-1 b/‎cattle_cycles.ipynb
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diff --git a/‎chang_credible.ipynb
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diff --git a/‎chang_ramsey.ipynb
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diff --git a/‎classical_filtering.ipynb
+1-1 b/‎classical_filtering.ipynb
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diff --git a/‎coase.ipynb
+1-1 b/‎coase.ipynb
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diff --git a/‎coleman_policy_iter.ipynb
+1-1 b/‎coleman_policy_iter.ipynb
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diff --git a/‎complex_and_trig.ipynb
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diff --git a/‎cons_news.ipynb
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diff --git a/‎debugging.ipynb
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diff --git a/‎discrete_dp.ipynb
+1-1 b/‎discrete_dp.ipynb
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diff --git a/‎dyn_stack.ipynb
+1-1 b/‎dyn_stack.ipynb
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diff --git a/‎egm_policy_iter.ipynb
+1-1 b/‎egm_policy_iter.ipynb
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diff --git a/‎estspec.ipynb
+1-1 b/‎estspec.ipynb
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diff --git a/‎exchangeable.ipynb
+1-1 b/‎exchangeable.ipynb
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diff --git a/‎finite_markov.ipynb
+1-1 b/‎finite_markov.ipynb
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diff --git a/‎functions.ipynb
+47-7 b/‎functions.ipynb
+47-7
diff --git a/‎geom_series.ipynb
+1-1 b/‎geom_series.ipynb
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diff --git a/‎getting_started.ipynb
+1-1 b/‎getting_started.ipynb
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diff --git a/‎growth_in_dles.ipynb
+1-1 b/‎growth_in_dles.ipynb
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diff --git a/‎harrison_kreps.ipynb
+1-1 b/‎harrison_kreps.ipynb
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diff --git a/‎heavy_tails.ipynb
+1-1 b/‎heavy_tails.ipynb
+1-1
@@ -228,7 +228,7 @@
   }
  ],
  "metadata": {
-  "date": 1583028108.0660686,
+  "date": 1583215090.9072158,
   "filename": "about_lectures.rst",
   "kernelspec": {
    "display_name": "Python",
 
@@ -716,7 +716,7 @@
   }
  ],
  "metadata": {
-  "date": 1583028108.1491086,
+  "date": 1583215090.9931827,
   "filename": "about_py.rst",
   "kernelspec": {
    "display_name": "Python",
 
@@ -1494,7 +1494,7 @@
   }
  ],
  "metadata": {
-  "date": 1583028108.4912932,
+  "date": 1583215091.1652944,
   "filename": "additive_functionals.rst",
   "kernelspec": {
    "display_name": "Python",
 
@@ -541,7 +541,7 @@
   }
  ],
  "metadata": {
-  "date": 1583028108.6237369,
+  "date": 1583215091.304433,
   "filename": "aiyagari.rst",
   "kernelspec": {
    "display_name": "Python",
 
@@ -1764,7 +1764,7 @@
   }
  ],
  "metadata": {
-  "date": 1583028108.7519813,
+  "date": 1583215091.620536,
   "filename": "amss.rst",
   "kernelspec": {
    "display_name": "Python",
 
@@ -1599,7 +1599,7 @@
   }
  ],
  "metadata": {
-  "date": 1583028108.9060285,
+  "date": 1583215091.7810287,
   "filename": "amss2.rst",
   "kernelspec": {
    "display_name": "Python",
 
@@ -1634,7 +1634,7 @@
   }
  ],
  "metadata": {
-  "date": 1583028109.1028805,
+  "date": 1583215091.9613178,
   "filename": "amss3.rst",
   "kernelspec": {
    "display_name": "Python",
 
@@ -808,7 +808,7 @@
   }
  ],
  "metadata": {
-  "date": 1583028109.3134675,
+  "date": 1583215092.145222,
   "filename": "ar1_processes.rst",
   "kernelspec": {
    "display_name": "Python",
 
@@ -1043,7 +1043,7 @@
   }
  ],
  "metadata": {
-  "date": 1583028109.475873,
+  "date": 1583215092.3037438,
   "filename": "arellano.rst",
   "kernelspec": {
    "display_name": "Python",
 
@@ -1185,7 +1185,7 @@
   }
  ],
  "metadata": {
-  "date": 1583028109.8502944,
+  "date": 1583215092.5106392,
   "filename": "arma.rst",
   "kernelspec": {
    "display_name": "Python",
 
@@ -1593,7 +1593,7 @@
   }
  ],
  "metadata": {
-  "date": 1583028110.0087874,
+  "date": 1583215092.7201803,
   "filename": "black_litterman.rst",
   "kernelspec": {
    "display_name": "Python",
 
@@ -1672,7 +1672,7 @@
   }
  ],
  "metadata": {
-  "date": 1583028110.204557,
+  "date": 1583215093.0625708,
   "filename": "calvo.rst",
   "kernelspec": {
    "display_name": "Python",
 
@@ -725,7 +725,7 @@
   }
  ],
  "metadata": {
-  "date": 1583028110.3507054,
+  "date": 1583215093.222933,
   "filename": "career.rst",
   "kernelspec": {
    "display_name": "Python",
 
@@ -2002,7 +2002,7 @@
   }
  ],
  "metadata": {
-  "date": 1583028110.5786822,
+  "date": 1583215093.4523966,
   "filename": "cass_koopmans.rst",
   "kernelspec": {
    "display_name": "Python",
 
@@ -550,7 +550,7 @@
   }
  ],
  "metadata": {
-  "date": 1583028110.9494655,
+  "date": 1583215093.6431532,
   "filename": "cattle_cycles.rst",
   "kernelspec": {
    "display_name": "Python",
 
@@ -1547,7 +1547,7 @@
   }
  ],
  "metadata": {
-  "date": 1583028111.0651517,
+  "date": 1583215093.8009183,
   "filename": "chang_credible.rst",
   "kernelspec": {
    "display_name": "Python",
 
@@ -1826,7 +1826,7 @@
   }
  ],
  "metadata": {
-  "date": 1583028111.2452517,
+  "date": 1583215094.14413,
   "filename": "chang_ramsey.rst",
   "kernelspec": {
    "display_name": "Python",
 
@@ -1548,7 +1548,7 @@
   }
  ],
  "metadata": {
-  "date": 1583028111.4654577,
+  "date": 1583215094.3646615,
   "filename": "classical_filtering.rst",
   "kernelspec": {
    "display_name": "Python",
 
@@ -856,7 +856,7 @@
   }
  ],
  "metadata": {
-  "date": 1583028111.6415184,
+  "date": 1583215094.5483837,
   "filename": "coase.rst",
   "kernelspec": {
    "display_name": "Python",
 
@@ -1141,7 +1141,7 @@
   }
  ],
  "metadata": {
-  "date": 1583028111.9942212,
+  "date": 1583215094.7356384,
   "filename": "coleman_policy_iter.rst",
   "kernelspec": {
    "display_name": "Python",
 
@@ -616,7 +616,7 @@
   }
  ],
  "metadata": {
-  "date": 1583028112.1462066,
+  "date": 1583215094.8923416,
   "filename": "complex_and_trig.rst",
   "kernelspec": {
    "display_name": "Python",
 
@@ -1074,7 +1074,7 @@
   }
  ],
  "metadata": {
-  "date": 1583028112.2906117,
+  "date": 1583215095.0401683,
   "filename": "cons_news.rst",
   "kernelspec": {
    "display_name": "Python",
 
@@ -397,7 +397,7 @@
   }
  ],
  "metadata": {
-  "date": 1583028112.4172513,
+  "date": 1583215095.1759489,
   "filename": "debugging.rst",
   "kernelspec": {
    "display_name": "Python",
 
@@ -1641,7 +1641,7 @@
   }
  ],
  "metadata": {
-  "date": 1583028112.625731,
+  "date": 1583215095.5516186,
   "filename": "discrete_dp.rst",
   "kernelspec": {
    "display_name": "Python",
 
@@ -1804,7 +1804,7 @@
   }
  ],
  "metadata": {
-  "date": 1583028112.962294,
+  "date": 1583215095.8858035,
   "filename": "dyn_stack.rst",
   "kernelspec": {
    "display_name": "Python",
 
@@ -624,7 +624,7 @@
   }
  ],
  "metadata": {
-  "date": 1583028113.1424394,
+  "date": 1583215096.0951126,
   "filename": "egm_policy_iter.rst",
   "kernelspec": {
    "display_name": "Python",
 
@@ -684,7 +684,7 @@
   }
  ],
  "metadata": {
-  "date": 1583028113.2607949,
+  "date": 1583215096.222174,
   "filename": "estspec.rst",
   "kernelspec": {
    "display_name": "Python",
 
@@ -938,7 +938,7 @@
   }
  ],
  "metadata": {
-  "date": 1583028113.3864925,
+  "date": 1583215096.3747342,
   "filename": "exchangeable.rst",
   "kernelspec": {
    "display_name": "Python",
 
@@ -1834,7 +1834,7 @@
   }
  ],
  "metadata": {
-  "date": 1583028113.851942,
+  "date": 1583215096.6298635,
   "filename": "finite_markov.rst",
   "kernelspec": {
    "display_name": "Python",
 
@@ -612,11 +612,16 @@
    "source": [
     "### Exercise 3\n",
     "\n",
-    "Write a function that returns one realization of the following random device:\n",
+    "First, write a function that returns one realization of the following random device\n",
     "\n",
-    "- Flip an unbiased coin 10 times.  \n",
-    "- If a head occurs more than `k` times consecutively within this sequence at least once, pay one dollar.  \n",
-    "- If not, pay nothing.  \n",
+    "1. Flip an unbiased coin 10 times.  \n",
+    "1. If a head occurs `k` or more times consecutively within this sequence at least once, pay one dollar.  \n",
+    "1. If not, pay nothing.  \n",
+    "\n",
+    "\n",
+    "Second, write another function that does the same task except that the second rule of the above random device becomes\n",
+    "\n",
+    "- If a head occurs `k` or more times within this sequence, pay one dollar.  \n",
     "\n",
     "\n",
     "Use no import besides `from numpy.random import uniform`."
@@ -687,7 +692,9 @@
    "cell_type": "markdown",
    "metadata": {},
    "source": [
-    "### Exercise 3"
+    "### Exercise 3\n",
+    "\n",
+    "Here’s a function for the first random device."
    ]
   },
   {
@@ -700,25 +707,58 @@
    "source": [
     "from numpy.random import uniform\n",
     "\n",
-    "def draw(k):  # pays if k successes in a row\n",
+    "def draw(k):  # pays if k consecutive successes in a sequence\n",
     "\n",
     "    payoff = 0\n",
     "    count = 0\n",
     "\n",
     "    for i in range(10):\n",
     "        U = uniform()\n",
     "        count = count + 1 if U < 0.5 else 0\n",
+    "        print(count)    # print counts for clarity\n",
     "        if count == k:\n",
     "            payoff = 1\n",
     "\n",
     "    return payoff\n",
     "\n",
     "draw(3)"
    ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "Here’s another function for the second random device."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {
+    "hide-output": false
+   },
+   "outputs": [],
+   "source": [
+    "def draw_new(k):  # pays if k successes in a sequence\n",
+    "\n",
+    "    payoff = 0\n",
+    "    count = 0\n",
+    "\n",
+    "    for i in range(10):\n",
+    "        U = uniform()\n",
+    "        count = count + ( 1 if U < 0.5 else 0 )\n",
+    "        print(count)\n",
+    "        if count == k:\n",
+    "            payoff = 1\n",
+    "\n",
+    "    return payoff\n",
+    "\n",
+    "draw_new(3)"
+   ]
   }
  ],
  "metadata": {
-  "date": 1583028114.0955436,
+  "date": 1583215096.906643,
   "filename": "functions.rst",
   "kernelspec": {
    "display_name": "Python",
 
@@ -1146,7 +1146,7 @@
   }
  ],
  "metadata": {
-  "date": 1583028114.278087,
+  "date": 1583215097.2676558,
   "filename": "geom_series.rst",
   "kernelspec": {
    "display_name": "Python",
 
@@ -700,7 +700,7 @@
   }
  ],
  "metadata": {
-  "date": 1583028114.4264617,
+  "date": 1583215097.4201636,
   "filename": "getting_started.rst",
   "kernelspec": {
    "display_name": "Python",
 
@@ -882,7 +882,7 @@
   }
  ],
  "metadata": {
-  "date": 1583028114.539336,
+  "date": 1583215097.5396185,
   "filename": "growth_in_dles.rst",
   "kernelspec": {
    "display_name": "Python",
 
@@ -796,7 +796,7 @@
   }
  ],
  "metadata": {
-  "date": 1583028114.6787164,
+  "date": 1583215097.7195659,
   "filename": "harrison_kreps.rst",
   "kernelspec": {
    "display_name": "Python",
 
@@ -947,7 +947,7 @@
   }
  ],
  "metadata": {
-  "date": 1583028115.052918,
+  "date": 1583215097.889058,
   "filename": "heavy_tails.rst",
   "kernelspec": {
    "display_name": "Python",
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`@@ -228,7 +228,7 @@`
`228`	`228`	`}`
`229`	`229`	`],`
`230`	`230`	`"metadata": {`
`231`		`- "date": 1583028108.0660686,`
	`231`	`+ "date": 1583215090.9072158,`
`232`	`232`	`"filename": "about_lectures.rst",`
`233`	`233`	`"kernelspec": {`
`234`	`234`	`"display_name": "Python",`
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`@@ -716,7 +716,7 @@`
`716`	`716`	`}`
`717`	`717`	`],`
`718`	`718`	`"metadata": {`
`719`		`- "date": 1583028108.1491086,`
	`719`	`+ "date": 1583215090.9931827,`
`720`	`720`	`"filename": "about_py.rst",`
`721`	`721`	`"kernelspec": {`
`722`	`722`	`"display_name": "Python",`
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`@@ -1494,7 +1494,7 @@`
`1494`	`1494`	`}`
`1495`	`1495`	`],`
`1496`	`1496`	`"metadata": {`
`1497`		`- "date": 1583028108.4912932,`
	`1497`	`+ "date": 1583215091.1652944,`
`1498`	`1498`	`"filename": "additive_functionals.rst",`
`1499`	`1499`	`"kernelspec": {`
`1500`	`1500`	`"display_name": "Python",`
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`@@ -541,7 +541,7 @@`
`541`	`541`	`}`
`542`	`542`	`],`
`543`	`543`	`"metadata": {`
`544`		`- "date": 1583028108.6237369,`
	`544`	`+ "date": 1583215091.304433,`
`545`	`545`	`"filename": "aiyagari.rst",`
`546`	`546`	`"kernelspec": {`
`547`	`547`	`"display_name": "Python",`
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`@@ -1764,7 +1764,7 @@`
`1764`	`1764`	`}`
`1765`	`1765`	`],`
`1766`	`1766`	`"metadata": {`
`1767`		`- "date": 1583028108.7519813,`
	`1767`	`+ "date": 1583215091.620536,`
`1768`	`1768`	`"filename": "amss.rst",`
`1769`	`1769`	`"kernelspec": {`
`1770`	`1770`	`"display_name": "Python",`
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`@@ -1599,7 +1599,7 @@`
`1599`	`1599`	`}`
`1600`	`1600`	`],`
`1601`	`1601`	`"metadata": {`
`1602`		`- "date": 1583028108.9060285,`
	`1602`	`+ "date": 1583215091.7810287,`
`1603`	`1603`	`"filename": "amss2.rst",`
`1604`	`1604`	`"kernelspec": {`
`1605`	`1605`	`"display_name": "Python",`
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`@@ -1634,7 +1634,7 @@`
`1634`	`1634`	`}`
`1635`	`1635`	`],`
`1636`	`1636`	`"metadata": {`
`1637`		`- "date": 1583028109.1028805,`
	`1637`	`+ "date": 1583215091.9613178,`
`1638`	`1638`	`"filename": "amss3.rst",`
`1639`	`1639`	`"kernelspec": {`
`1640`	`1640`	`"display_name": "Python",`
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`@@ -808,7 +808,7 @@`
`808`	`808`	`}`
`809`	`809`	`],`
`810`	`810`	`"metadata": {`
`811`		`- "date": 1583028109.3134675,`
	`811`	`+ "date": 1583215092.145222,`
`812`	`812`	`"filename": "ar1_processes.rst",`
`813`	`813`	`"kernelspec": {`
`814`	`814`	`"display_name": "Python",`
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`@@ -1043,7 +1043,7 @@`
`1043`	`1043`	`}`
`1044`	`1044`	`],`
`1045`	`1045`	`"metadata": {`
`1046`		`- "date": 1583028109.475873,`
	`1046`	`+ "date": 1583215092.3037438,`
`1047`	`1047`	`"filename": "arellano.rst",`
`1048`	`1048`	`"kernelspec": {`
`1049`	`1049`	`"display_name": "Python",`
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`@@ -1185,7 +1185,7 @@`
`1185`	`1185`	`}`
`1186`	`1186`	`],`
`1187`	`1187`	`"metadata": {`
`1188`		`- "date": 1583028109.8502944,`
	`1188`	`+ "date": 1583215092.5106392,`
`1189`	`1189`	`"filename": "arma.rst",`
`1190`	`1190`	`"kernelspec": {`
`1191`	`1191`	`"display_name": "Python",`