Display string [] Array in einer ListBox

Question

Ich habe eine wpf ListBox, ich konvertierte das DataSet in string [] -Array, und ich versuche, das Array in der Listbox anzuzeigen, aber es wird nicht angezeigt.

Das ist mein Code !!!

string query = " SELECT category_id, category_name, amount FROM acc_income_category WHERE deleted = 0 ORDER BY category_name ASC "; 
da = new SQLiteDataAdapter(query, con); 
ds = new DataSet(); 
da.Fill(ds, "acc_income_category"); 
string[] arr = new string[ds.Tables[0].Rows.Count]; 
for (int i = 0; i < ds.Tables[0].Rows.Count; i++) 
{ 
    arr[i] = ds.Tables[0].Rows[i]["category_name"].ToString(); 
} 
ListBox_Category_Names.ItemsSource = arr; 

und das ist mein WPF ListBox XAML-Code

<ListBox x:Name="ListBox_Category_Names" VerticalAlignment="Stretch" HorizontalAlignment="Stretch" 
    Width="auto" Height="auto" SelectionMode="Multiple" ItemsSource="{Binding acc_income_category}" Grid.Row="1" > 
    <ListBox.ItemTemplate> 
     <DataTemplate> 
      <Grid HorizontalAlignment="Stretch" > 
       <Grid.ColumnDefinitions> 
        <ColumnDefinition Width="auto" /> 
        <ColumnDefinition Width="*" /> 
        <ColumnDefinition Width="auto" /> 
       </Grid.ColumnDefinitions> 
       <CheckBox x:Name="chkBox_CheckCategory" Grid.Column="0" Width="35" Height="35" Cursor="Hand" IsChecked="{Binding RelativeSource={RelativeSource AncestorType=ListBoxItem}, Path=IsSelected}" /> 

       <!--<TextBlock Text="{Binding category_name}" Grid.Column="1" FontSize="15" Foreground="#FF666666" Margin="10,0,5,0" VerticalAlignment="Center" HorizontalAlignment="Left" /> 
       <TextBlock Text="{Binding amount, ConverterCulture=ig-NG, StringFormat=\{0:C\}}" Grid.Column="3" FontSize="15" Foreground="#FF666666" Margin="5,0,5,0" VerticalAlignment="Center" HorizontalAlignment="Stretch"/>--> 

      </Grid> 
     </DataTemplate> 
    </ListBox.ItemTemplate> 
</ListBox>