Purchase brand new iPhone 5. But Facetime not installed?

How to install facetime in iPhone 5?

Unlike the iPod Touch or the iPad there isn't a dedicated Facetime app on the iPhone. If you want to make a Facetime call look for the contact you want in the Phone or Contacts app, click their name, and then "Facetime" - they need to be an iPhone user though or it won't work. In a nutshell, Facetime already IS installed.

You may need to reset the phone. (plug in itunes and click the 'restore' button, make sure to backup phone if you have pictures or apps on there that you want to keep!)