WHEN YOU PURCHASE RV SHOWS FROM ITUNES ARE YOU ABLE TO PUT IT ON A DVD AND WATCH ON A REAL TV?
Sorry, but no, you can't. The content owners won't allow Apple to allow that feature. You can back up your videos, but you cannot convert them to any other format. If you want play video/movie content purchased from the iTunes Store on your TV, you'll need to connect your computer to your TV or use an iOS device or iPod (one with video out) or an Apple TV.