In order you were provided with Receipts, the opposite system must be configured to send them !!(of course I suppose you have no problem with message delivery :-)). Since you have no control on that you have to have what you have.
You also have to be aware that standards for requesting Delivery receipts and Read receipts differ (actually there is no second one). While most foreign Internet Mail systems recognize Delivery-Receipt requests generated by Exchange, mosly MS systems recognize Read-Receipt requests. It depends on client (OL, OL Express) as well as on server. It also depends on message format. If only your messages to foreign systems are sent (and received!!) in Outlook Rich Text format, you may expect you receive Read-Receipts.
HTH,
Dima