diff --git a/src/modelchecker/results/HybridQuantitativeCheckResult.cpp b/src/modelchecker/results/HybridQuantitativeCheckResult.cpp
index 62fe2c1dd..2aeab204f 100644
--- a/src/modelchecker/results/HybridQuantitativeCheckResult.cpp
+++ b/src/modelchecker/results/HybridQuantitativeCheckResult.cpp
@@ -57,7 +57,7 @@ namespace storm {
         
         template<storm::dd::DdType Type, typename ValueType>
         bool HybridQuantitativeCheckResult<Type, ValueType>::isResultForAllStates() const {
-            return true;
+            return (symbolicStates || explicitStates) == reachableStates;
         }
         
         template<storm::dd::DdType Type, typename ValueType>
@@ -169,12 +169,16 @@ namespace storm {
         
         template<storm::dd::DdType Type, typename ValueType>
         ValueType HybridQuantitativeCheckResult<Type, ValueType>::sum() const {
-            STORM_LOG_THROW(false, storm::exceptions::NotImplementedException, "Sum not implemented for hybrid results");
+            ValueType sum = symbolicValues.sumAbstract(symbolicValues.getContainedMetaVariables()).getValue();
+            for (auto const& value : explicitValues) {
+                sum += value;
+            }
+            return sum;
         }
         
         template<storm::dd::DdType Type, typename ValueType>
         ValueType HybridQuantitativeCheckResult<Type, ValueType>::average() const {
-            STORM_LOG_THROW(false, storm::exceptions::NotImplementedException, "Average not implemented for hybrid results");
+            return this->sum() / (symbolicStates || explicitStates).getNonZeroCount();
         }
         
         template<storm::dd::DdType Type, typename ValueType>
@@ -193,4 +197,4 @@ namespace storm {
         template class HybridQuantitativeCheckResult<storm::dd::DdType::CUDD>;
         template class HybridQuantitativeCheckResult<storm::dd::DdType::Sylvan>;
     }
-}
\ No newline at end of file
+}
diff --git a/src/modelchecker/results/HybridQuantitativeCheckResult.h b/src/modelchecker/results/HybridQuantitativeCheckResult.h
index 16a802331..43b1a39a4 100644
--- a/src/modelchecker/results/HybridQuantitativeCheckResult.h
+++ b/src/modelchecker/results/HybridQuantitativeCheckResult.h
@@ -54,7 +54,6 @@ namespace storm {
             
             virtual ValueType average() const override;
             
-            
             virtual void oneMinus() override;
 
         private:
@@ -79,4 +78,4 @@ namespace storm {
     }
 }
 
-#endif /* STORM_MODELCHECKER_HYBRIDQUANTITATIVECHECKRESULT_H_ */
\ No newline at end of file
+#endif /* STORM_MODELCHECKER_HYBRIDQUANTITATIVECHECKRESULT_H_ */
diff --git a/src/modelchecker/results/SymbolicQualitativeCheckResult.cpp b/src/modelchecker/results/SymbolicQualitativeCheckResult.cpp
index 3468a13c9..da97a38da 100644
--- a/src/modelchecker/results/SymbolicQualitativeCheckResult.cpp
+++ b/src/modelchecker/results/SymbolicQualitativeCheckResult.cpp
@@ -8,7 +8,7 @@
 namespace storm {
     namespace modelchecker {
         template <storm::dd::DdType Type>
-        SymbolicQualitativeCheckResult<Type>::SymbolicQualitativeCheckResult(storm::dd::Bdd<Type> const& reachableStates, storm::dd::Bdd<Type> const& truthValues) : reachableStates(reachableStates), truthValues(truthValues) {
+        SymbolicQualitativeCheckResult<Type>::SymbolicQualitativeCheckResult(storm::dd::Bdd<Type> const& reachableStates, storm::dd::Bdd<Type> const& truthValues) : reachableStates(reachableStates), states(reachableStates), truthValues(truthValues) {
             // Intentionally left empty.
         }
         
@@ -19,7 +19,7 @@ namespace storm {
 
         template <storm::dd::DdType Type>
         bool SymbolicQualitativeCheckResult<Type>::isResultForAllStates() const {
-            return true;
+            return reachableStates == states;
         }
         
         template <storm::dd::DdType Type>
@@ -48,22 +48,22 @@ namespace storm {
         
         template <storm::dd::DdType Type>
         storm::dd::Bdd<Type> const& SymbolicQualitativeCheckResult<Type>::getTruthValuesVector() const {
-            return truthValues;
+            return this->truthValues;
         }
         
         template <storm::dd::DdType Type>
         bool SymbolicQualitativeCheckResult<Type>::existsTrue() const {
-            STORM_LOG_THROW(false, storm::exceptions::NotImplementedException, "Exists not implemented for symbolic results");
+            return !this->truthValues.isZero();
         }
         
         template <storm::dd::DdType Type>
         bool SymbolicQualitativeCheckResult<Type>::forallTrue() const {
-            STORM_LOG_THROW(false, storm::exceptions::NotImplementedException, "Forall not implemented for symbolic results");
+            return this->truthValues == this->states;
         }
         
         template <storm::dd::DdType Type>
         uint64_t SymbolicQualitativeCheckResult<Type>::count() const {
-            STORM_LOG_THROW(false, storm::exceptions::NotImplementedException, "Count not implemented for symbolic results");
+            return this->truthValues.getNonZeroCount();
         }
         
         template <storm::dd::DdType Type>
@@ -80,9 +80,10 @@ namespace storm {
         void SymbolicQualitativeCheckResult<Type>::filter(QualitativeCheckResult const& filter) {
             STORM_LOG_THROW(filter.isSymbolicQualitativeCheckResult(), storm::exceptions::InvalidOperationException, "Cannot filter symbolic check result with non-symbolic filter.");
             this->truthValues &= filter.asSymbolicQualitativeCheckResult<Type>().getTruthValuesVector();
+            this->states &= filter.asSymbolicQualitativeCheckResult<Type>().getTruthValuesVector();
         }
         
         template class SymbolicQualitativeCheckResult<storm::dd::DdType::CUDD>;
         template class SymbolicQualitativeCheckResult<storm::dd::DdType::Sylvan>;
     }
-}
\ No newline at end of file
+}
diff --git a/src/modelchecker/results/SymbolicQualitativeCheckResult.h b/src/modelchecker/results/SymbolicQualitativeCheckResult.h
index 775b8c467..db3ee1ab5 100644
--- a/src/modelchecker/results/SymbolicQualitativeCheckResult.h
+++ b/src/modelchecker/results/SymbolicQualitativeCheckResult.h
@@ -45,11 +45,14 @@ namespace storm {
         private:
             // The set of all reachable states.
             storm::dd::Bdd<Type> reachableStates;
-            
+
+            // The set of states for which this check result contains values.
+            storm::dd::Bdd<Type> states;
+
             // The values of the qualitative check result.
             storm::dd::Bdd<Type> truthValues;
         };
     }
 }
 
-#endif /* STORM_MODELCHECKER_SYMBOLICQUALITATIVECHECKRESULT_H_ */
\ No newline at end of file
+#endif /* STORM_MODELCHECKER_SYMBOLICQUALITATIVECHECKRESULT_H_ */
diff --git a/src/modelchecker/results/SymbolicQuantitativeCheckResult.cpp b/src/modelchecker/results/SymbolicQuantitativeCheckResult.cpp
index bde1407a4..5bc712d2d 100644
--- a/src/modelchecker/results/SymbolicQuantitativeCheckResult.cpp
+++ b/src/modelchecker/results/SymbolicQuantitativeCheckResult.cpp
@@ -93,12 +93,12 @@ namespace storm {
         
         template<storm::dd::DdType Type, typename ValueType>
         ValueType SymbolicQuantitativeCheckResult<Type, ValueType>::average() const {
-           STORM_LOG_THROW(false, storm::exceptions::NotImplementedException, "Average not implemented for symbolic results");
+            return this->sum() / this->states.getNonZeroCount();
         }
         
         template<storm::dd::DdType Type, typename ValueType>
         ValueType SymbolicQuantitativeCheckResult<Type, ValueType>::sum() const {
-            STORM_LOG_THROW(false, storm::exceptions::NotImplementedException, "Sum not implemented for symbolic results");
+            return this->values.sumAbstract(this->values.getContainedMetaVariables()).getValue();
         }
         
         template<storm::dd::DdType Type, typename ValueType>
@@ -111,4 +111,4 @@ namespace storm {
         template class SymbolicQuantitativeCheckResult<storm::dd::DdType::CUDD>;
         template class SymbolicQuantitativeCheckResult<storm::dd::DdType::Sylvan>;
     }
-}
\ No newline at end of file
+}
diff --git a/src/storage/expressions/ExpressionVisitor.h b/src/storage/expressions/ExpressionVisitor.h
index cfe2ce9b6..edbdc5d5a 100644
--- a/src/storage/expressions/ExpressionVisitor.h
+++ b/src/storage/expressions/ExpressionVisitor.h
@@ -2,6 +2,7 @@
 #define STORM_STORAGE_EXPRESSIONS_EXPRESSIONVISITOR_H_
 
 #include <boost/any.hpp>
+#include <boost/none.hpp>
 
 namespace storm {
     namespace expressions {
@@ -33,4 +34,4 @@ namespace storm {
     }
 }
 
-#endif /* STORM_STORAGE_EXPRESSIONS_EXPRESSIONVISITOR_H_ */
\ No newline at end of file
+#endif /* STORM_STORAGE_EXPRESSIONS_EXPRESSIONVISITOR_H_ */