We can determine screen resolution of different android devices (phone and tablets) programmatically  in andengine and set camera width and height easily by adding the following code snippet 

public Engine onLoadEngine() {
        WindowManager w = getWindowManager();
        Display d = w.getDefaultDisplay();
        //d.setSystemUiVisibility(View.STATUS_BAR_HIDDEN);
        DisplayMetrics metrics = new DisplayMetrics();
        d.getMetrics(metrics);
       
        CAMERA_WIDTH = d.getWidth();
        CAMERA_HEIGHT = d.getHeight();

        final Camera camera = new Camera(0, 0, CAMERA_WIDTH, CAMERA_HEIGHT);
        return new Engine(new EngineOptions(true, ScreenOrientation.LANDSCAPE, new                                             RatioResolutionPolicy(CAMERA_WIDTH, CAMERA_HEIGHT), camera));
    }