Hi All!

I have a router/modem from my ISP in my office. I am needing to hard wire an Apple TV that is in my living room as the wireless connection is inconsistent. I am having an electrician stop by, but I am curious if I have this right. In my office is my providers router. I was going to run a line out of my modem and plug it into a jack in the wall. I was then going to plug from the jack in my living room into my Apple TV. Three total cables effectively. Will this work, or am I missing a component that I am going to need in the middle? My router has a few hard wire connections available in it. It would look like this:

Providers Router (Is Female end) --> CAT 5 Wall Jack In Office (Is Male End) --> (Female End) CAT5 Line in Wall (Female End) --> CAT5 Wall Jack in Living Room (Male End) --> (Male End) Apple TV

Is this setup going to work, or do I need to do something differently? Also, is CAT5 the right line to have the electrician run for me and terminate at each wall?