although don't expect your transaction to be replaced all over the network. the problem is that many nodes don't recognize RBF so they will ignore it and see it as double spend and keep your original transaction.
my experience was that it was successful because the miner picked up my higher fee tx fast and that is the only thing that matters.
and by the way you don't have to make another transaction, electrum is so user friendly about it. go to your history tab and click on the transaction and choose increase fee. easy!
So to make it successful I need to put much bigger fee, so the chance of success would be high. right ?
Correct, using a bigger fee would cause the miners to pick up the transaction. You just need to ensure you are using a proper sized fee. https://bitcoinfees.21.co is a pretty good site to see what the recommended level of fees are.