Tell me if this is correct.
Okay.
Exchanges allow you to purchase coins.
True, and sell them.
The coins that you have purchased from the exchange are located in an address that was created for you by the exchange using the Bitcoin Address Utility or Pywallet.
WTF, you tarded? Bitcoin Address Utility or pywallet
Then the exchange allows you to send those coins that are in your exchange account (which is really the wallet and address that was created for you by the exchange) to your own personal wallet address.
True.
My question is, by what method do the exchanges send the Bitcoins from your exchange account (the wallet they created for you) to your own personal wallet address?
with normal bitcoin transactions.
what is this kind of question, maybe you should RTFM and STFW, BEFORE asking stupid questions.