Will savedInstanceState bundle in onCreate() method be alive (not null) after Application is being killed? If it would, where this bundle is stored
If Android kills the process hosting your app, it still maintains the "saved instance state" of all active (non-finished) activities. This data is stored by the ActivityManager. If the user returns to your application, Android will create a new process for the app, instantiate the Application instance again and then create an instance of the top activity in the activity stack. It will then call onCreate() on that activity instance passing it the "saved instance state" that was most recently saved for that activity.
If you reboot your phone, all this data is lost (Android does not save application state across reboots).