diff --git a/bindings/python/ns3_module_core.py b/bindings/python/ns3_module_core.py
index b680c1766..e584ab37f 100644
--- a/bindings/python/ns3_module_core.py
+++ b/bindings/python/ns3_module_core.py
@@ -1424,12 +1424,12 @@ def register_Ns3LogNormalVariable_methods(root_module, cls):
     return
 
 def register_Ns3NormalVariable_methods(root_module, cls):
-    ## random-variable.h: ns3::NormalVariable::INFINITE_VALUE [variable]
-    cls.add_static_attribute('INFINITE_VALUE', 'double const', is_const=True)
     ## random-variable.h: ns3::NormalVariable::NormalVariable() [constructor]
     cls.add_constructor([])
-    ## random-variable.h: ns3::NormalVariable::NormalVariable(double m, double v, double b=ns3::NormalVariable::INFINITE_VALUE) [constructor]
-    cls.add_constructor([param('double', 'm'), param('double', 'v'), param('double', 'b', default_value='ns3::NormalVariable::INFINITE_VALUE')])
+    ## random-variable.h: ns3::NormalVariable::NormalVariable(double m, double v) [constructor]
+    cls.add_constructor([param('double', 'm'), param('double', 'v')])
+    ## random-variable.h: ns3::NormalVariable::NormalVariable(double m, double v, double b) [constructor]
+    cls.add_constructor([param('double', 'm'), param('double', 'v'), param('double', 'b')])
     cls.add_copy_constructor()
     return
 
diff --git a/src/core/random-variable.cc b/src/core/random-variable.cc
index 3395db8ed..44a921348 100644
--- a/src/core/random-variable.cc
+++ b/src/core/random-variable.cc
@@ -906,6 +906,9 @@ RandomVariableBase* NormalVariableImpl::Copy() const
 NormalVariable::NormalVariable()
   : RandomVariable (NormalVariableImpl ())
 {}
+NormalVariable::NormalVariable(double m, double v)
+  : RandomVariable (NormalVariableImpl (m, v))
+{}
 NormalVariable::NormalVariable(double m, double v, double b)
   : RandomVariable (NormalVariableImpl (m, v, b))
 {}
diff --git a/src/core/random-variable.h b/src/core/random-variable.h
index 5b5b557c4..ba811ea0f 100644
--- a/src/core/random-variable.h
+++ b/src/core/random-variable.h
@@ -476,20 +476,27 @@ public:
 class NormalVariable : public RandomVariable
 {
 public:
-   static const double INFINITE_VALUE;
   /**
    * Constructs an normal random variable  with a mean
    * value of 0 and variance of 1.
    */ 
   NormalVariable();
 
+  /**
+   * \brief Construct a normal random variable with specified mean and variance.
+   * \param m Mean value
+   * \param v Variance
+   */ 
+  NormalVariable(double m, double v);
+
   /**
    * \brief Construct a normal random variable with specified mean and variance
    * \param m Mean value
    * \param v Variance
-   * \param b Bound.  The NormalVariable is bounded within +-bound.
+   * \param b Bound.  The NormalVariable is bounded symetrically about the mean
+   * [mean-bound,mean+bound]
    */ 
-  NormalVariable(double m, double v, double b = INFINITE_VALUE);
+  NormalVariable(double m, double v, double b);
 };
 
 /**