Well, like a week after I got the tablet, I tried to charge it and the screen was black. I thought that the battery was drained, but I knew something was wrong because I saw no indication of the tablet being plugged.
Sure enough, the tablet's display was not working. My best guess is that my daughter dropped it and a connector was loose.
I did not want to go send it overseas to see if the warranty applied, so the tablet stayed there, with a pitch black display, for two weeks.
Today I decided to open it. I had seen videos of how to do that before but, as my limited experience with computers includes only working with software (thanks to years of suffering with Windows and my successful migration to Linux in 2010), I was not confident that my attempt would be have a happy outcome.
However, if there's something I have learned as a Linux user, it is to look for help (tutorials, forums, etc) on the Web. Thus, I found this Youtube tutorial by Tampatec explaining how to fix the display of an Asus Transformer.
It gave me the push I needed to try.
With the credit card trick I had no problem opening the tablet (well, after Megatotoro told me how to take out the four screws) and I looked for the loose connector... I took a short while because I am not used to working at that level (and much less with hardware!) but I found the culprit and pushed it in as instructed.
The tablet is now perfectly operational. And, sure enough, my daughter is happy as a clam right now using it.
She is not the only happy one, though. I am proud of my accomplishment and my wife will get the new tablet I bought today, before I fixed the ZaTab ZT2.
One more thing...Thank you Tampatec, you are a genius!!!