Verizon FiOS → Dead Zone

My router is on the 2nd flr of my house and my computer is hard wired to it. ......and i dont want to change that. The first floor of my house in an extension and a complete "dead zone" for wireless. Not total, but very degraded. My daughter wants her XBOX (360) there because of the large screen TV.
Question is: Rather than use a range extender can i split at the large screen TV and use some kind adapter to convert to a LAN cord for the XBOX

Yes, What you want is a MOCA adapter. Connects to the coax at the TV set and provides a LAN connection.
»Verizon FiOS FAQ »Can I get an ethernet connection in a room with only coax?

Thank you sir ..you are most kind for your quick and knowledgeable reply. One last follow up question(s) ....I am terrible working with splicing coax .....If I asked Verizon to do it on a dispatch will they charge me? ......and does Verizon sell MOCA adapters as they do range extenders? ...Thanks again?

Yes they will charge

Can someone help and let me know if this configuration will work .......

»fioshomenetwork.weebly.com/

Thanks to all in advance!

Yes, that will work.

Use part 2 of the link I provided earlier.
The WAN connection on the second router must be disabled (which part 2 does). You will want to configure wireless on the second Actiontec with the same SSID an on a different channel than the primary Actiontec.

BTW, you can upload pictures here. i wasn't able to access that web site until I got home from work.

Thanks man ...that all makes sense. Let me start working on the stuff you gave me and if i hit any "walls" will post again.

There is no need to splice the coax. My understanding is the MoCA adapter comes with a splitter and another short coax length. It's included in a purchase from amazon. Is it he same kit when purchased from Verizon?

I just purchased a MoCA adapter from Verizon a couple weeks ago and it works great. I now get a very good signal outside on my deck where reception previously had been very poor. It comes with a 2-way splitter, 2 coax cables, and 1 Ethernet cable.