A history of Western rewards for Arabs: Nobel Prizes

Is this a coincidence?  Anwar Sadat got the Nobel Prize for Peace when he visited Israel.  Naguib Mahfouz got the Nobel Prize in literature after he declared his support for peace with Israel.  Ahmad Zuweil received the Nobel Prize for chemistry after he had visited Israel and accepted an award there.  Muhammad Baradei received the Nobel Prize in Peace after he had visited Israel. And of course Yasser Arafat received Nobel Prize in peace after he signed a peace agreement with Israel.