Sometimes you need to include rendered HTML code of a joomla module inside a joomla component usaully in view file located under tmpl folder, this 3 lines can help (tested on jommla 3.1)
$module = JModuleHelper::getModule('mod_paidsystem_random');
$moduleHtml = JModuleHelper::renderModule($module);
echo $moduleHtml;
$module = JModuleHelper::getModule('mod_paidsystem_random');
$moduleHtml = JModuleHelper::renderModule($module);
echo $moduleHtml;
this will display the mod_paidsystem_random module inline in the component